[{"author":[{"orcid":"0000-0001-8243-4694","last_name":"Kondrashov","first_name":"Fyodor","full_name":"Fyodor Kondrashov","id":"44FDEF62-F248-11E8-B48F-1D18A9856A87"}],"citation":{"short":"F. Kondrashov, Human Molecular Genetics 14 (2005) 2415–2419.","mla":"Kondrashov, Fyodor. “Prediction of Pathogenic Mutations in Mitochondrially Encoded Human TRNAs.” <i>Human Molecular Genetics</i>, vol. 14, no. 16, Oxford University Press, 2005, pp. 2415–19, doi:<a href=\"https://doi.org/10.1093/hmg/ddi243\">10.1093/hmg/ddi243</a>.","ieee":"F. Kondrashov, “Prediction of pathogenic mutations in mitochondrially encoded human tRNAs,” <i>Human Molecular Genetics</i>, vol. 14, no. 16. Oxford University Press, pp. 2415–2419, 2005.","ista":"Kondrashov F. 2005. Prediction of pathogenic mutations in mitochondrially encoded human tRNAs. Human Molecular Genetics. 14(16), 2415–2419.","ama":"Kondrashov F. Prediction of pathogenic mutations in mitochondrially encoded human tRNAs. <i>Human Molecular Genetics</i>. 2005;14(16):2415-2419. doi:<a href=\"https://doi.org/10.1093/hmg/ddi243\">10.1093/hmg/ddi243</a>","chicago":"Kondrashov, Fyodor. “Prediction of Pathogenic Mutations in Mitochondrially Encoded Human TRNAs.” <i>Human Molecular Genetics</i>. Oxford University Press, 2005. <a href=\"https://doi.org/10.1093/hmg/ddi243\">https://doi.org/10.1093/hmg/ddi243</a>.","apa":"Kondrashov, F. (2005). Prediction of pathogenic mutations in mitochondrially encoded human tRNAs. <i>Human Molecular Genetics</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/hmg/ddi243\">https://doi.org/10.1093/hmg/ddi243</a>"},"date_updated":"2021-01-12T08:21:10Z","extern":1,"quality_controlled":0,"title":"Prediction of pathogenic mutations in mitochondrially encoded human tRNAs","volume":14,"publisher":"Oxford University Press","date_published":"2005-08-15T00:00:00Z","issue":"16","abstract":[{"text":"Some mutations in human mitochondrial tRNAs are severely pathogenic. The available computational methods have a poor record of predicting the impact of a tRNA mutation on the phenotype and fitness. Here patterns of evolution at tRNA sites that harbor pathogenic mutations and at sites that harbor phenotypically cryptic polymorphisms were compared. Mutations that are pathogenic to humans occupy more conservative sites, are only rarely fixed in closely related species, and, when located in stem structures, often disrupt Watson-Crick pairing and display signs of compensatory evolution. These observations make it possible to classify ∼90% of all known pathogenic mutations as deleterious together with only ∼30% of polymorphisms. These polymorphisms segregate at frequencies that are more than two times lower than frequencies of polymorphisms classified as benign, indicating that at least ∼30% of known polymorphisms in mitochondrial tRNAs affect fitness negatively.","lang":"eng"}],"month":"08","publication_status":"published","page":"2415 - 2419","doi":"10.1093/hmg/ddi243","status":"public","day":"15","year":"2005","acknowledgement":"The author thanks P. Andolfatto, D. Bachtrog, N. Esipova, S. Makeev, A. Kondrashov, V. Ramensky, V. Tumanyan and P. Vlasov for a critical reading of the manuscript. The author is an NSF Graduate Research Fellow. This work was supported by a Contract of the Russian Ministry of Science and Education (02.434.11.1008) and a grant on Molecular and Cellular Biology from RAS.\n","_id":"882","type":"journal_article","date_created":"2018-12-11T11:49:00Z","publication":"Human Molecular Genetics","intvolume":"        14","publist_id":"6767"},{"date_created":"2018-12-11T11:49:03Z","type":"journal_article","_id":"893","acknowledgement":"S.S. and I.A.A. were supported by the Genome Canada Foundation.","page":"633 - 638","doi":"10.1038/nature03306","year":"2005","status":"public","day":"10","intvolume":"       433","publist_id":"6757","publication":"Nature","date_updated":"2021-01-12T08:21:23Z","quality_controlled":0,"extern":1,"citation":{"short":"I. Jordan, F. Kondrashov, I. Adzhubeǐ, Y. Wolf, E. Koonin, A. Kondrashov, S. Sunyaev, Nature 433 (2005) 633–638.","mla":"Jordan, Ingo, et al. “A Universal Trend of Amino Acid Gain and Loss in Protein Evolution.” <i>Nature</i>, vol. 433, no. 7026, Nature Publishing Group, 2005, pp. 633–38, doi:<a href=\"https://doi.org/10.1038/nature03306\">10.1038/nature03306</a>.","ieee":"I. Jordan <i>et al.</i>, “A universal trend of amino acid gain and loss in protein evolution,” <i>Nature</i>, vol. 433, no. 7026. Nature Publishing Group, pp. 633–638, 2005.","apa":"Jordan, I., Kondrashov, F., Adzhubeǐ, I., Wolf, Y., Koonin, E., Kondrashov, A., &#38; Sunyaev, S. (2005). A universal trend of amino acid gain and loss in protein evolution. <i>Nature</i>. Nature Publishing Group. <a href=\"https://doi.org/10.1038/nature03306\">https://doi.org/10.1038/nature03306</a>","ama":"Jordan I, Kondrashov F, Adzhubeǐ I, et al. A universal trend of amino acid gain and loss in protein evolution. <i>Nature</i>. 2005;433(7026):633-638. doi:<a href=\"https://doi.org/10.1038/nature03306\">10.1038/nature03306</a>","chicago":"Jordan, Ingo, Fyodor Kondrashov, Ivan Adzhubeǐ, Yuri Wolf, Eugene Koonin, Alexey Kondrashov, and Shamil Sunyaev. “A Universal Trend of Amino Acid Gain and Loss in Protein Evolution.” <i>Nature</i>. Nature Publishing Group, 2005. <a href=\"https://doi.org/10.1038/nature03306\">https://doi.org/10.1038/nature03306</a>.","ista":"Jordan I, Kondrashov F, Adzhubeǐ I, Wolf Y, Koonin E, Kondrashov A, Sunyaev S. 2005. A universal trend of amino acid gain and loss in protein evolution. Nature. 433(7026), 633–638."},"author":[{"first_name":"Ingo","last_name":"Jordan","full_name":"Jordan, Ingo K"},{"last_name":"Kondrashov","first_name":"Fyodor","orcid":"0000-0001-8243-4694","id":"44FDEF62-F248-11E8-B48F-1D18A9856A87","full_name":"Fyodor Kondrashov"},{"last_name":"Adzhubeǐ","first_name":"Ivan","full_name":"Adzhubeǐ, Ivan A"},{"last_name":"Wolf","first_name":"Yuri","full_name":"Wolf, Yuri I"},{"full_name":"Koonin, Eugene V","last_name":"Koonin","first_name":"Eugene"},{"full_name":"Kondrashov, Alexey S","last_name":"Kondrashov","first_name":"Alexey"},{"first_name":"Shamil","last_name":"Sunyaev","full_name":"Sunyaev, Shamil R"}],"abstract":[{"text":"Amino acid composition of proteins varies substantially between taxa and, thus, can evolve. For example, proteins from organisms with (G+C)-rich (or (A+T)-rich) genomes contain more (or fewer) amino acids encoded by (G+C)-rich codons. However, no universal trends in ongoing changes of amino acid frequencies have been reported. We compared sets of orthologous proteins encoded by triplets of closely related genomes from 15 taxa representing all three domains of life (Bacteria, Archaea and Eukaryota), and used phylogenies to polarize amino acid substitutions. Cys, Met, His, Ser and Phe accrue in at least 14 taxa, whereas Pro, Ala, Glu and Gly are consistently lost. The same nine amino acids are currently accrued or lost in human proteins, as shown by analysis of non-synonymous single-nucleotide polymorphisms. All amino acids with declining frequencies are thought to be among the first incorporated into the genetic code; conversely, all amino acids with increasing frequencies, except Ser, were probably recruited late. Thus, expansion of initially under-represented amino acids, which began over 3,400 million years ago, apparently continues to this day.","lang":"eng"}],"month":"02","publication_status":"published","issue":"7026","date_published":"2005-02-10T00:00:00Z","publisher":"Nature Publishing Group","volume":433,"title":"A universal trend of amino acid gain and loss in protein evolution"},{"author":[{"first_name":"Giovanni","last_name":"Costantini","full_name":"Costantini, Giovanni"},{"full_name":"Rastelli, Armando","last_name":"Rastelli","first_name":"Armando"},{"full_name":"Manzano, Carlos","last_name":"Manzano","first_name":"Carlos"},{"full_name":"Acosta-Diaz, P","last_name":"Acosta Diaz","first_name":"P"},{"full_name":"Georgios Katsaros","id":"38DB5788-F248-11E8-B48F-1D18A9856A87","last_name":"Katsaros","first_name":"Georgios"},{"full_name":"Songmuang, Rudeeson","last_name":"Songmuang","first_name":"Rudeeson"},{"last_name":"Schmidt","first_name":"Oliver","full_name":"Schmidt, Oliver G"},{"first_name":"Hans","last_name":"Von Känel","full_name":"Von Känel, Hans"},{"full_name":"Kern, Klaus","last_name":"Kern","first_name":"Klaus"}],"citation":{"mla":"Costantini, Giovanni, et al. “Pyramids and Domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) Systems.” <i>Journal of Crystal Growth</i>, vol. 278, no. 1–4, Elsevier, 2005, pp. 38–45, doi:<a href=\"https://doi.org/10.1016/j.jcrysgro.2004.12.047\">10.1016/j.jcrysgro.2004.12.047</a>.","short":"G. Costantini, A. Rastelli, C. Manzano, P. Acosta Diaz, G. Katsaros, R. Songmuang, O. Schmidt, H. Von Känel, K. Kern, Journal of Crystal Growth 278 (2005) 38–45.","ieee":"G. Costantini <i>et al.</i>, “Pyramids and domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) systems,” <i>Journal of Crystal Growth</i>, vol. 278, no. 1–4. Elsevier, pp. 38–45, 2005.","ista":"Costantini G, Rastelli A, Manzano C, Acosta Diaz P, Katsaros G, Songmuang R, Schmidt O, Von Känel H, Kern K. 2005. Pyramids and domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) systems. Journal of Crystal Growth. 278(1–4), 38–45.","chicago":"Costantini, Giovanni, Armando Rastelli, Carlos Manzano, P Acosta Diaz, Georgios Katsaros, Rudeeson Songmuang, Oliver Schmidt, Hans Von Känel, and Klaus Kern. “Pyramids and Domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) Systems.” <i>Journal of Crystal Growth</i>. Elsevier, 2005. <a href=\"https://doi.org/10.1016/j.jcrysgro.2004.12.047\">https://doi.org/10.1016/j.jcrysgro.2004.12.047</a>.","ama":"Costantini G, Rastelli A, Manzano C, et al. Pyramids and domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) systems. <i>Journal of Crystal Growth</i>. 2005;278(1-4):38-45. doi:<a href=\"https://doi.org/10.1016/j.jcrysgro.2004.12.047\">10.1016/j.jcrysgro.2004.12.047</a>","apa":"Costantini, G., Rastelli, A., Manzano, C., Acosta Diaz, P., Katsaros, G., Songmuang, R., … Kern, K. (2005). Pyramids and domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) systems. <i>Journal of Crystal Growth</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jcrysgro.2004.12.047\">https://doi.org/10.1016/j.jcrysgro.2004.12.047</a>"},"date_updated":"2021-01-12T06:52:54Z","extern":1,"quality_controlled":0,"volume":278,"title":"Pyramids and domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) systems","date_published":"2005-05-01T00:00:00Z","publisher":"Elsevier","issue":"1-4","abstract":[{"lang":"eng","text":"A systematic study of the morphology of self-organized islands in the InAs/GaAs(0 0 1) and Ge/Si(0 0 1) systems is presented, based on high-resolution scanning tunneling microscopy measurements. We demonstrate that in both cases two main island families coexist: smaller pyramids bound by one type of shallow facets and larger multifaceted domes. Their structure and facet orientation are precisely determined, thus solving a highly debated argument in the case of InAs/GaAs(0 0 1). The comparison between the two material systems reveals the existence of striking similarities that extend even to the nature of island precursors and to the islands that form when depositing InGaAs or GeSi alloys. The implications of these observations on a possible universal description of the Stranski-Krastanow growth mode are discussed with respect to recent theoretical results."}],"month":"05","publication_status":"published","year":"2005","doi":"10.1016/j.jcrysgro.2004.12.047","day":"01","status":"public","page":"38 - 45","_id":"1740","type":"journal_article","date_created":"2018-12-11T11:53:45Z","publication":"Journal of Crystal Growth","intvolume":"       278","publist_id":"5384"},{"publication":"Physical Review Letters","intvolume":"        94","publist_id":"5383","doi":"10.1103/PhysRevLett.94.216103","status":"public","year":"2005","day":"03","acknowledgement":"The work was supported by the BMBF (03N8711)","_id":"1741","type":"journal_article","date_created":"2018-12-11T11:53:46Z","title":"Lateral motion of SiGe islands driven by surface-mediated alloying","volume":94,"publisher":"American Physical Society","date_published":"2005-06-03T00:00:00Z","issue":"21","abstract":[{"lang":"eng","text":"SiGe islands move laterally on a Si(001) substrate during in situ postgrowth annealing. This surprising behavior is revealed by an analysis of the substrate surface morphology after island removal using wet chemical etching. We explain the island motion by asymmetric surface-mediated alloying. Material leaves one side of the island by surface diffusion, and mixes with additional Si from the surrounding surface as it redeposits on the other side. Thus the island moves laterally while becoming larger and more dilute."}],"publication_status":"published","month":"06","author":[{"full_name":"Denker, Ulrich","last_name":"Denker","first_name":"Ulrich"},{"full_name":"Rastelli, Armando","last_name":"Rastelli","first_name":"Armando"},{"last_name":"Stoffel","first_name":"Mathieu","full_name":"Stoffel, Mathieu"},{"last_name":"Tersoff","first_name":"Jerry","full_name":"Tersoff, Jerry"},{"id":"38DB5788-F248-11E8-B48F-1D18A9856A87","full_name":"Georgios Katsaros","last_name":"Katsaros","first_name":"Georgios"},{"full_name":"Costantini, Giovanni","first_name":"Giovanni","last_name":"Costantini"},{"full_name":"Kern, Klaus","first_name":"Klaus","last_name":"Kern"},{"full_name":"Jin-Phillipp, Neng Y","first_name":"Neng","last_name":"Jin Phillipp"},{"last_name":"Jesson","first_name":"David","full_name":"Jesson, David E"},{"last_name":"Schmidt","first_name":"Oliver","full_name":"Schmidt, Oliver G"}],"citation":{"chicago":"Denker, Ulrich, Armando Rastelli, Mathieu Stoffel, Jerry Tersoff, Georgios Katsaros, Giovanni Costantini, Klaus Kern, Neng Jin Phillipp, David Jesson, and Oliver Schmidt. “Lateral Motion of SiGe Islands Driven by Surface-Mediated Alloying.” <i>Physical Review Letters</i>. American Physical Society, 2005. <a href=\"https://doi.org/10.1103/PhysRevLett.94.216103\">https://doi.org/10.1103/PhysRevLett.94.216103</a>.","ama":"Denker U, Rastelli A, Stoffel M, et al. Lateral motion of SiGe islands driven by surface-mediated alloying. <i>Physical Review Letters</i>. 2005;94(21). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.94.216103\">10.1103/PhysRevLett.94.216103</a>","ista":"Denker U, Rastelli A, Stoffel M, Tersoff J, Katsaros G, Costantini G, Kern K, Jin Phillipp N, Jesson D, Schmidt O. 2005. Lateral motion of SiGe islands driven by surface-mediated alloying. Physical Review Letters. 94(21).","apa":"Denker, U., Rastelli, A., Stoffel, M., Tersoff, J., Katsaros, G., Costantini, G., … Schmidt, O. (2005). Lateral motion of SiGe islands driven by surface-mediated alloying. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.94.216103\">https://doi.org/10.1103/PhysRevLett.94.216103</a>","ieee":"U. Denker <i>et al.</i>, “Lateral motion of SiGe islands driven by surface-mediated alloying,” <i>Physical Review Letters</i>, vol. 94, no. 21. American Physical Society, 2005.","short":"U. Denker, A. Rastelli, M. Stoffel, J. Tersoff, G. Katsaros, G. Costantini, K. Kern, N. Jin Phillipp, D. Jesson, O. Schmidt, Physical Review Letters 94 (2005).","mla":"Denker, Ulrich, et al. “Lateral Motion of SiGe Islands Driven by Surface-Mediated Alloying.” <i>Physical Review Letters</i>, vol. 94, no. 21, American Physical Society, 2005, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.94.216103\">10.1103/PhysRevLett.94.216103</a>."},"date_updated":"2021-01-12T06:52:54Z","quality_controlled":0,"extern":1},{"doi":"10.1103/PhysRevB.72.195320","status":"public","day":"15","year":"2005","acknowledgement":"G. K. acknowledges the financial support of DAAD (Deutscher Akademischer Austausch Dienst)","_id":"1742","type":"journal_article","date_created":"2018-12-11T11:53:46Z","publication":"Physical Review B - Condensed Matter and Materials Physics","intvolume":"        72","publist_id":"5382","author":[{"first_name":"Georgios","last_name":"Katsaros","full_name":"Georgios Katsaros","id":"38DB5788-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Costantini","first_name":"Giovanni","full_name":"Costantini, Giovanni"},{"full_name":"Stoffel, Mathieu","last_name":"Stoffel","first_name":"Mathieu"},{"full_name":"Esteban, Rubén","last_name":"Esteban","first_name":"Rubén"},{"full_name":"Bittner, Alexander M","last_name":"Bittner","first_name":"Alexander"},{"first_name":"Armando","last_name":"Rastelli","full_name":"Rastelli, Armando"},{"first_name":"Ulrich","last_name":"Denker","full_name":"Denker, Ulrich"},{"last_name":"Schmidt","first_name":"Oliver","full_name":"Schmidt, Oliver G"},{"last_name":"Kern","first_name":"Klaus","full_name":"Kern, Klaus"}],"citation":{"mla":"Katsaros, Georgios, et al. “Kinetic Origin of Island Intermixing during the Growth of Ge on Si (001).” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 72, no. 19, American Physical Society, 2005, doi:<a href=\"https://doi.org/10.1103/PhysRevB.72.195320\">10.1103/PhysRevB.72.195320</a>.","short":"G. Katsaros, G. Costantini, M. Stoffel, R. Esteban, A. Bittner, A. Rastelli, U. Denker, O. Schmidt, K. Kern, Physical Review B - Condensed Matter and Materials Physics 72 (2005).","ieee":"G. Katsaros <i>et al.</i>, “Kinetic origin of island intermixing during the growth of Ge on Si (001),” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 72, no. 19. American Physical Society, 2005.","apa":"Katsaros, G., Costantini, G., Stoffel, M., Esteban, R., Bittner, A., Rastelli, A., … Kern, K. (2005). Kinetic origin of island intermixing during the growth of Ge on Si (001). <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.72.195320\">https://doi.org/10.1103/PhysRevB.72.195320</a>","ama":"Katsaros G, Costantini G, Stoffel M, et al. Kinetic origin of island intermixing during the growth of Ge on Si (001). <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2005;72(19). doi:<a href=\"https://doi.org/10.1103/PhysRevB.72.195320\">10.1103/PhysRevB.72.195320</a>","ista":"Katsaros G, Costantini G, Stoffel M, Esteban R, Bittner A, Rastelli A, Denker U, Schmidt O, Kern K. 2005. Kinetic origin of island intermixing during the growth of Ge on Si (001). Physical Review B - Condensed Matter and Materials Physics. 72(19).","chicago":"Katsaros, Georgios, Giovanni Costantini, Mathieu Stoffel, Rubén Esteban, Alexander Bittner, Armando Rastelli, Ulrich Denker, Oliver Schmidt, and Klaus Kern. “Kinetic Origin of Island Intermixing during the Growth of Ge on Si (001).” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2005. <a href=\"https://doi.org/10.1103/PhysRevB.72.195320\">https://doi.org/10.1103/PhysRevB.72.195320</a>."},"date_updated":"2021-01-12T06:52:55Z","extern":1,"quality_controlled":0,"title":"Kinetic origin of island intermixing during the growth of Ge on Si (001)","volume":72,"publisher":"American Physical Society","date_published":"2005-11-15T00:00:00Z","issue":"19","abstract":[{"lang":"eng","text":"The effects of substrate temperature, growth rate, and postgrowth annealing on the composition of Ge islands grown on Si(001) were investigated with a combination of selective wet chemical etching and atomic force microscopy. A simple kinetic model comprising only surface diffusion processes can explain all the experimentally observed compositional profiles for pyramid and dome islands grown in the 560-620°C range. From this model three-dimensional compositional maps were extracted. By performing annealing experiments a change in the composition of the domes was observed. This could be explained as the result of the islands' movement induced by alloying-driven energy minimization. Also in this case kinetically hindered bulk diffusion processes are not needed to explain the experimental observations."}],"publication_status":"published","month":"11"},{"citation":{"ieee":"Z. Zhong <i>et al.</i>, “Periodic pillar structures by Si etching of multilayer GeSi/Si islands,” <i>Applied Physics Letters</i>, vol. 87, no. 26. American Institute of Physics, pp. 1–3, 2005.","ista":"Zhong Z, Katsaros G, Stoffel M, Costantini G, Kern K, Schmidt O, Jin Phillipp N, Bauer G. 2005. Periodic pillar structures by Si etching of multilayer GeSi/Si islands. Applied Physics Letters. 87(26), 1–3.","chicago":"Zhong, Zheyang, Georgios Katsaros, Mathieu Stoffel, Giovanni Costantini, Klaus Kern, Oliver Schmidt, Neng Jin Phillipp, and Günther Bauer. “Periodic Pillar Structures by Si Etching of Multilayer GeSi/Si Islands.” <i>Applied Physics Letters</i>. American Institute of Physics, 2005. <a href=\"https://doi.org/10.1063/1.2150278\">https://doi.org/10.1063/1.2150278</a>.","ama":"Zhong Z, Katsaros G, Stoffel M, et al. Periodic pillar structures by Si etching of multilayer GeSi/Si islands. <i>Applied Physics Letters</i>. 2005;87(26):1-3. doi:<a href=\"https://doi.org/10.1063/1.2150278\">10.1063/1.2150278</a>","apa":"Zhong, Z., Katsaros, G., Stoffel, M., Costantini, G., Kern, K., Schmidt, O., … Bauer, G. (2005). Periodic pillar structures by Si etching of multilayer GeSi/Si islands. <i>Applied Physics Letters</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.2150278\">https://doi.org/10.1063/1.2150278</a>","mla":"Zhong, Zheyang, et al. “Periodic Pillar Structures by Si Etching of Multilayer GeSi/Si Islands.” <i>Applied Physics Letters</i>, vol. 87, no. 26, American Institute of Physics, 2005, pp. 1–3, doi:<a href=\"https://doi.org/10.1063/1.2150278\">10.1063/1.2150278</a>.","short":"Z. Zhong, G. Katsaros, M. Stoffel, G. Costantini, K. Kern, O. Schmidt, N. Jin Phillipp, G. Bauer, Applied Physics Letters 87 (2005) 1–3."},"date_updated":"2021-01-12T06:52:55Z","extern":1,"quality_controlled":0,"author":[{"last_name":"Zhong","first_name":"Zheyang","full_name":"Zhong, Zheyang"},{"first_name":"Georgios","last_name":"Katsaros","full_name":"Georgios Katsaros","id":"38DB5788-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Stoffel, Mathieu","last_name":"Stoffel","first_name":"Mathieu"},{"first_name":"Giovanni","last_name":"Costantini","full_name":"Costantini, Giovanni"},{"full_name":"Kern, Klaus","first_name":"Klaus","last_name":"Kern"},{"full_name":"Schmidt, Oliver G","last_name":"Schmidt","first_name":"Oliver"},{"full_name":"Jin-Phillipp, Neng Y","first_name":"Neng","last_name":"Jin Phillipp"},{"last_name":"Bauer","first_name":"Günther","full_name":"Bauer, Günther"}],"issue":"26","abstract":[{"lang":"eng","text":"Laterally aligned multilayer GeSiSi islands grown on a patterned Si (001) substrate are disclosed by selective etching of Si in a KOH solution. This procedure allows us to visualize the vertical alignment of the islands in a three-dimensional perspective. Our technique reveals that partly coalesced double islands in the initial layer do not merge together, but instead gradually reproduce into well-separated double islands in upper layers. We attribute this effect to very thin spacer layers, which efficiently transfer the strain modulation of each island through the spacer layer to the surface. The etching rate of Si is reduced in tensile strained regions, which helps to preserve sufficient Si between the stacked islands to form a periodic array of freestanding and vertically modulated heterostructure pillars."}],"month":"01","publication_status":"published","volume":87,"title":"Periodic pillar structures by Si etching of multilayer GeSi/Si islands","publisher":"American Institute of Physics","date_published":"2005-01-01T00:00:00Z","_id":"1743","type":"journal_article","date_created":"2018-12-11T11:53:46Z","doi":"10.1063/1.2150278","day":"01","year":"2005","status":"public","page":"1 - 3","acknowledgement":"This work was supported by the BMBF (03N8711) and the EU NOE SANDiE","publication":"Applied Physics Letters","intvolume":"        87","publist_id":"5381"},{"_id":"1744","type":"journal_article","date_created":"2018-12-11T11:53:46Z","page":"344 - 352","doi":"10.1049/ip-opt:20045067","year":"2005","status":"public","day":"01","acknowledgement":"IET","publication":"IEE Proceedings - Optoelectronics","intvolume":"       152","publist_id":"5380","citation":{"mla":"Katsaros, Georgios, et al. “Non Linear Transmission Effects in Duobinary and Dicode Optical Systems.” <i>IEE Proceedings - Optoelectronics</i>, vol. 152, no. 6, Institute of Electrical Engineers, 2005, pp. 344–52, doi:<a href=\"https://doi.org/10.1049/ip-opt:20045067\">10.1049/ip-opt:20045067</a>.","short":"G. Katsaros, I. Darwazeh, P. Lane, IEE Proceedings - Optoelectronics 152 (2005) 344–352.","ieee":"G. Katsaros, I. Darwazeh, and P. Lane, “Non linear transmission effects in duobinary and dicode optical systems,” <i>IEE Proceedings - Optoelectronics</i>, vol. 152, no. 6. Institute of Electrical Engineers, pp. 344–352, 2005.","apa":"Katsaros, G., Darwazeh, I., &#38; Lane, P. (2005). Non linear transmission effects in duobinary and dicode optical systems. <i>IEE Proceedings - Optoelectronics</i>. Institute of Electrical Engineers. <a href=\"https://doi.org/10.1049/ip-opt:20045067\">https://doi.org/10.1049/ip-opt:20045067</a>","ama":"Katsaros G, Darwazeh I, Lane P. Non linear transmission effects in duobinary and dicode optical systems. <i>IEE Proceedings - Optoelectronics</i>. 2005;152(6):344-352. doi:<a href=\"https://doi.org/10.1049/ip-opt:20045067\">10.1049/ip-opt:20045067</a>","ista":"Katsaros G, Darwazeh I, Lane P. 2005. Non linear transmission effects in duobinary and dicode optical systems. IEE Proceedings - Optoelectronics. 152(6), 344–352.","chicago":"Katsaros, Georgios, Izzat Darwazeh, and Phil Lane. “Non Linear Transmission Effects in Duobinary and Dicode Optical Systems.” <i>IEE Proceedings - Optoelectronics</i>. Institute of Electrical Engineers, 2005. <a href=\"https://doi.org/10.1049/ip-opt:20045067\">https://doi.org/10.1049/ip-opt:20045067</a>."},"date_updated":"2021-01-12T06:52:55Z","quality_controlled":0,"extern":1,"author":[{"full_name":"Georgios Katsaros","id":"38DB5788-F248-11E8-B48F-1D18A9856A87","last_name":"Katsaros","first_name":"Georgios"},{"full_name":"Darwazeh, Izzat Z","last_name":"Darwazeh","first_name":"Izzat"},{"full_name":"Lane, Phil M","last_name":"Lane","first_name":"Phil"}],"issue":"6","abstract":[{"text":"This paper presents optical duobinary and dicode signalling, as alternatives to the binary format, in order to improve the transmission performance in the presense of non-linear effects in a dense wavelength division multiplex (WDM) optical system. Duobinary signalling is applied to an optical system to explore the reduction of stimulated Brillouin scattering (SBS) effects. Duobinary signalling suppresses the SBS effects, and an eye-opening improvement of 0.25 to 1.2 dB is achieved relative to binary transmission over a range of input power levels. An experimental study demonstrates that duobinary modulation suppresses the four wave mixing (FWM) products of a dense WDM system by a maximum of 3 dB. The suppression is maintained over a range of channel spacings. An investigation of the impact of fibre dispersion on FWM products under binary, duobinary and dicode modulation in a dense WDM system is then performed, with interchannel spacing and optical power variation. This leads to the development of a set of guidelines for the application areas, in which it is appropriate to use duobinary or dicode modulation in WDM systems as a means of mitigating the impact of FWM.","lang":"eng"}],"month":"12","publication_status":"published","title":"Non linear transmission effects in duobinary and dicode optical systems","volume":152,"date_published":"2005-12-01T00:00:00Z","publisher":"Institute of Electrical Engineers"},{"date_created":"2018-12-11T11:54:03Z","_id":"1795","type":"journal_article","year":"2005","doi":"10.1186/1742-6405-2-7","day":"12","status":"public","intvolume":"         2","publist_id":"5315","publication":"AIDS Research and Therapy","date_updated":"2021-01-12T06:53:15Z","quality_controlled":0,"extern":1,"citation":{"chicago":"Siegert, Sandra, Sonja Thaler, Ralf Wagner, and Barbara Schnierle. “Assessment of HIV-1 Entry Inhibitors by MLV/HIV-1 Pseudotyped Vectors.” <i>AIDS Research and Therapy</i>. BioMed Central, 2005. <a href=\"https://doi.org/10.1186/1742-6405-2-7\">https://doi.org/10.1186/1742-6405-2-7</a>.","ista":"Siegert S, Thaler S, Wagner R, Schnierle B. 2005. Assessment of HIV-1 entry inhibitors by MLV/HIV-1 pseudotyped vectors. AIDS Research and Therapy. 2(1).","ama":"Siegert S, Thaler S, Wagner R, Schnierle B. Assessment of HIV-1 entry inhibitors by MLV/HIV-1 pseudotyped vectors. <i>AIDS Research and Therapy</i>. 2005;2(1). doi:<a href=\"https://doi.org/10.1186/1742-6405-2-7\">10.1186/1742-6405-2-7</a>","apa":"Siegert, S., Thaler, S., Wagner, R., &#38; Schnierle, B. (2005). Assessment of HIV-1 entry inhibitors by MLV/HIV-1 pseudotyped vectors. <i>AIDS Research and Therapy</i>. BioMed Central. <a href=\"https://doi.org/10.1186/1742-6405-2-7\">https://doi.org/10.1186/1742-6405-2-7</a>","ieee":"S. Siegert, S. Thaler, R. Wagner, and B. Schnierle, “Assessment of HIV-1 entry inhibitors by MLV/HIV-1 pseudotyped vectors,” <i>AIDS Research and Therapy</i>, vol. 2, no. 1. BioMed Central, 2005.","short":"S. Siegert, S. Thaler, R. Wagner, B. Schnierle, AIDS Research and Therapy 2 (2005).","mla":"Siegert, Sandra, et al. “Assessment of HIV-1 Entry Inhibitors by MLV/HIV-1 Pseudotyped Vectors.” <i>AIDS Research and Therapy</i>, vol. 2, no. 1, BioMed Central, 2005, doi:<a href=\"https://doi.org/10.1186/1742-6405-2-7\">10.1186/1742-6405-2-7</a>."},"author":[{"id":"36ACD32E-F248-11E8-B48F-1D18A9856A87","full_name":"Sandra Siegert","first_name":"Sandra","last_name":"Siegert","orcid":"0000-0001-8635-0877"},{"last_name":"Thaler","first_name":"Sonja","full_name":"Thaler, Sonja"},{"last_name":"Wagner","first_name":"Ralf","full_name":"Wagner, Ralf"},{"full_name":"Schnierle, Barbara S","last_name":"Schnierle","first_name":"Barbara"}],"abstract":[{"text":"Background: Murine leukemia virus (MLV) vector particles can be pseudotyped with a truncated variant of the human immunodeficiency virus type 1 (HIV-1) envelope protein (Env) and selectively target gene transfer to human cells expressing both CD4 and an appropriate co-receptor. Vector transduction mimics the HIV-1 entry process and is therefore a safe tool to study HIV-1 entry. Results: Using FLY cells, which express the MLV gag and pol genes, we generated stable producer cell lines that express the HIV-1 envelope gene and a retroviral vector genome encoding the green fluorescent protein (GFP). The BH10 or 89.6 P HIV-1 Env was expressed from a bicistronic vector which allowed the rapid selection of stable cell lines. A codon-usage-optimized synthetic env gene permitted high, Rev-independent Env expression. Vectors generated by these producer cells displayed different sensitivity to entry inhibitors. Conclusion: These data illustrate that MLV/HIV-1 vectors are a valuable screening system for entry inhibitors or neutralizing antisera generated by vaccines.","lang":"eng"}],"publication_status":"published","month":"09","issue":"1","publisher":"BioMed Central","date_published":"2005-09-12T00:00:00Z","title":"Assessment of HIV-1 entry inhibitors by MLV/HIV-1 pseudotyped vectors","volume":2},{"publist_id":"5122","intvolume":"       309","publication":"Science","date_created":"2018-12-11T11:54:56Z","_id":"1962","type":"journal_article","acknowledgement":"This work was funded by the Medical Research Council.","status":"public","doi":"10.1126/science.1113988","day":"29","year":"2005","page":"771 - 774","publication_status":"published","month":"07","abstract":[{"lang":"eng","text":"\n\nComplex I of respiratory chains plays a central role in bioenergetics and is implicated in many human neurodegenerative diseases. An understanding of its mechanism requires a knowledge of the organization of redox centers. The arrangement of iron-sulfur clusters in the hydrophilic domain of complex I from Thermus thermophilus has been determined with the use of x-ray crystallography. One binuclear and six tetranuclear clusters are arranged, maximally 14 angstroms apart, in an 84-angstrom-long electron transfer chain. The binuclear cluster N1a and the tetranuclear cluster N7 are not in this pathway. Cluster N1a may play a role in the prevention of oxidative damage. The structure provides a framework for the interpretation of the large amounts of data accumulated on complex I."}],"issue":"5735","date_published":"2005-07-29T00:00:00Z","publisher":"American Association for the Advancement of Science","title":"Biochemistry: Organization of iron-sulfur clusters in respiratory complex I","volume":309,"quality_controlled":0,"extern":1,"date_updated":"2021-01-12T06:54:22Z","citation":{"ista":"Hinchliffe P, Sazanov LA. 2005. Biochemistry: Organization of iron-sulfur clusters in respiratory complex I. Science. 309(5735), 771–774.","ama":"Hinchliffe P, Sazanov LA. Biochemistry: Organization of iron-sulfur clusters in respiratory complex I. <i>Science</i>. 2005;309(5735):771-774. doi:<a href=\"https://doi.org/10.1126/science.1113988\">10.1126/science.1113988</a>","chicago":"Hinchliffe, Philip, and Leonid A Sazanov. “Biochemistry: Organization of Iron-Sulfur Clusters in Respiratory Complex I.” <i>Science</i>. American Association for the Advancement of Science, 2005. <a href=\"https://doi.org/10.1126/science.1113988\">https://doi.org/10.1126/science.1113988</a>.","apa":"Hinchliffe, P., &#38; Sazanov, L. A. (2005). Biochemistry: Organization of iron-sulfur clusters in respiratory complex I. <i>Science</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/science.1113988\">https://doi.org/10.1126/science.1113988</a>","ieee":"P. Hinchliffe and L. A. Sazanov, “Biochemistry: Organization of iron-sulfur clusters in respiratory complex I,” <i>Science</i>, vol. 309, no. 5735. American Association for the Advancement of Science, pp. 771–774, 2005.","mla":"Hinchliffe, Philip, and Leonid A. Sazanov. “Biochemistry: Organization of Iron-Sulfur Clusters in Respiratory Complex I.” <i>Science</i>, vol. 309, no. 5735, American Association for the Advancement of Science, 2005, pp. 771–74, doi:<a href=\"https://doi.org/10.1126/science.1113988\">10.1126/science.1113988</a>.","short":"P. Hinchliffe, L.A. Sazanov, Science 309 (2005) 771–774."},"author":[{"first_name":"Philip","last_name":"Hinchliffe","full_name":"Hinchliffe, Philip "},{"id":"338D39FE-F248-11E8-B48F-1D18A9856A87","full_name":"Leonid Sazanov","first_name":"Leonid A","last_name":"Sazanov","orcid":"0000-0002-0977-7989"}]},{"scopus_import":"1","publist_id":"7702","type":"book","_id":"210","date_created":"2018-12-11T11:45:13Z","day":"03","year":"2005","status":"public","page":"140","publication_identifier":{"eisbn":["9-780-5115-4289-3"]},"doi":"10.1017/CBO9780511542893","publication_status":"published","month":"03","abstract":[{"text":"Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.","lang":"eng"}],"title":"Analytic Methods for Diophantine Equations and Diophantine Inequalities","article_processing_charge":"No","language":[{"iso":"eng"}],"date_published":"2005-03-03T00:00:00Z","publisher":"Cambridge University Press","citation":{"ista":"Davenport H, Browning TD. 2005. Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 140p.","chicago":"Davenport, Harold, and Timothy D Browning. <i>Analytic Methods for Diophantine Equations and Diophantine Inequalities</i>. Cambridge University Press, 2005. <a href=\"https://doi.org/10.1017/CBO9780511542893\">https://doi.org/10.1017/CBO9780511542893</a>.","ama":"Davenport H, Browning TD. <i>Analytic Methods for Diophantine Equations and Diophantine Inequalities</i>. Cambridge University Press; 2005. doi:<a href=\"https://doi.org/10.1017/CBO9780511542893\">10.1017/CBO9780511542893</a>","apa":"Davenport, H., &#38; Browning, T. D. (2005). <i>Analytic Methods for Diophantine Equations and Diophantine Inequalities</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/CBO9780511542893\">https://doi.org/10.1017/CBO9780511542893</a>","ieee":"H. Davenport and T. D. Browning, <i>Analytic Methods for Diophantine Equations and Diophantine Inequalities</i>. Cambridge University Press, 2005.","mla":"Davenport, Harold, and Timothy D. Browning. <i>Analytic Methods for Diophantine Equations and Diophantine Inequalities</i>. Cambridge University Press, 2005, doi:<a href=\"https://doi.org/10.1017/CBO9780511542893\">10.1017/CBO9780511542893</a>.","short":"H. Davenport, T.D. Browning, Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 2005."},"oa_version":"None","extern":"1","quality_controlled":"1","date_updated":"2021-12-21T11:02:25Z","alternative_title":["Cambridge Mathematical Library"],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","author":[{"last_name":"Davenport","first_name":"Harold","full_name":"Davenport, Harold"},{"full_name":"Browning, Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D"}]},{"page":"801 - 808","doi":"10.1112/S0024609305004741","day":"01","status":"public","year":"2005","acknowledgement":"grant number GR/R93155/01","_id":"211","type":"journal_article","date_created":"2018-12-11T11:45:14Z","publication":"Bulletin of the London Mathematical Society","intvolume":"        37","publist_id":"7700","author":[{"last_name":"Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning"}],"citation":{"short":"T.D. Browning, Bulletin of the London Mathematical Society 37 (2005) 801–808.","mla":"Browning, Timothy D. “Equal Sums of like Polynomials.” <i>Bulletin of the London Mathematical Society</i>, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08, doi:<a href=\"https://doi.org/10.1112/S0024609305004741\">10.1112/S0024609305004741</a>.","apa":"Browning, T. D. (2005). Equal sums of like polynomials. <i>Bulletin of the London Mathematical Society</i>. John Wiley and Sons Ltd. <a href=\"https://doi.org/10.1112/S0024609305004741\">https://doi.org/10.1112/S0024609305004741</a>","chicago":"Browning, Timothy D. “Equal Sums of like Polynomials.” <i>Bulletin of the London Mathematical Society</i>. John Wiley and Sons Ltd, 2005. <a href=\"https://doi.org/10.1112/S0024609305004741\">https://doi.org/10.1112/S0024609305004741</a>.","ama":"Browning TD. Equal sums of like polynomials. <i>Bulletin of the London Mathematical Society</i>. 2005;37(6):801-808. doi:<a href=\"https://doi.org/10.1112/S0024609305004741\">10.1112/S0024609305004741</a>","ista":"Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.","ieee":"T. D. Browning, “Equal sums of like polynomials,” <i>Bulletin of the London Mathematical Society</i>, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808, 2005."},"date_updated":"2021-01-12T06:55:22Z","quality_controlled":0,"extern":1,"volume":37,"title":"Equal sums of like polynomials","publisher":"John Wiley and Sons Ltd","date_published":"2005-12-01T00:00:00Z","issue":"6","abstract":[{"text":"Let f ∈ ℤ[x] be a polynomial of degree d. The paucity of non-trivial positive integer solutions to the equation f(x1)+f(x 2)=f(x3)+f(x4) is established, provided that d ≤ 7$. Also the corresponding situation is investigated for equal sums of three like polynomials.","lang":"eng"}],"month":"12","publication_status":"published"},{"year":"2005","status":"public","doi":"https://doi.org/10.1515/crll.2005.2005.584.83","day":"26","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/0707.2296"}],"page":"83 - 115","_id":"212","type":"journal_article","date_created":"2018-12-11T11:45:14Z","oa":1,"publication":"Journal fur die Reine und Angewandte Mathematik","publist_id":"7701","author":[{"full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D"},{"last_name":"Heath Brown","first_name":"Roger","full_name":"Heath-Brown, Roger"}],"citation":{"mla":"Browning, Timothy D., and Roger Heath Brown. “Counting Rational Points on Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>, no. 584, Walter de Gruyter and Co , 2005, pp. 83–115, doi:<a href=\"https://doi.org/10.1515/crll.2005.2005.584.83\">https://doi.org/10.1515/crll.2005.2005.584.83</a>.","short":"T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik (2005) 83–115.","ieee":"T. D. Browning and R. Heath Brown, “Counting rational points on hypersurfaces,” <i>Journal fur die Reine und Angewandte Mathematik</i>, no. 584. Walter de Gruyter and Co , pp. 83–115, 2005.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Counting Rational Points on Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter and Co , 2005. <a href=\"https://doi.org/10.1515/crll.2005.2005.584.83\">https://doi.org/10.1515/crll.2005.2005.584.83</a>.","ista":"Browning TD, Heath Brown R. 2005. Counting rational points on hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (584), 83–115.","ama":"Browning TD, Heath Brown R. Counting rational points on hypersurfaces. <i>Journal fur die Reine und Angewandte Mathematik</i>. 2005;(584):83-115. doi:<a href=\"https://doi.org/10.1515/crll.2005.2005.584.83\">https://doi.org/10.1515/crll.2005.2005.584.83</a>","apa":"Browning, T. D., &#38; Heath Brown, R. (2005). Counting rational points on hypersurfaces. <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter de Gruyter and Co . <a href=\"https://doi.org/10.1515/crll.2005.2005.584.83\">https://doi.org/10.1515/crll.2005.2005.584.83</a>"},"date_updated":"2021-01-12T06:55:25Z","extern":1,"quality_controlled":0,"title":"Counting rational points on hypersurfaces","publisher":"Walter de Gruyter and Co ","date_published":"2005-11-26T00:00:00Z","issue":"584","abstract":[{"text":"For any n ≧ 2, let F ∈ ℤ [ x 1, … , xn ] be a form of degree d≧ 2, which produces a geometrically irreducible hypersurface in ℙn–1. This paper is concerned with the number N(F;B) of rational points on F = 0 which have height at most B. For any ε &gt; 0 we establish the estimate N(F; B) = O(B n− 2+ ε ), whenever either n ≦ 5 or the hypersurface is not a union of lines. Here the implied constant depends at most upon d, n and ε.","lang":"eng"}],"month":"11","publication_status":"published"},{"day":"01","year":"2005","status":"public","page":"233 - 247","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0506497"}],"doi":"10.1007/s00209-004-0719-z","_id":"214","type":"journal_article","date_created":"2018-12-11T11:45:15Z","oa":1,"publication":"Mathematische Zeitschrift","intvolume":"       251","publist_id":"7699","author":[{"orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Heath-Brown, Roger","last_name":"Heath Brown","first_name":"Roger"}],"citation":{"short":"T.D. Browning, R. Heath Brown, Mathematische Zeitschrift 251 (2005) 233–247.","mla":"Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal Sums of Two Powers.” <i>Mathematische Zeitschrift</i>, vol. 251, no. 2, Unknown, 2005, pp. 233–47, doi:<a href=\"https://doi.org/10.1007/s00209-004-0719-z\">10.1007/s00209-004-0719-z</a>.","ieee":"T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of two powers,” <i>Mathematische Zeitschrift</i>, vol. 251, no. 2. Unknown, pp. 233–247, 2005.","ista":"Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 251(2), 233–247.","ama":"Browning TD, Heath Brown R. Plane curves in boxes and equal sums of two powers. <i>Mathematische Zeitschrift</i>. 2005;251(2):233-247. doi:<a href=\"https://doi.org/10.1007/s00209-004-0719-z\">10.1007/s00209-004-0719-z</a>","chicago":"Browning, Timothy D, and Roger Heath Brown. “Plane Curves in Boxes and Equal Sums of Two Powers.” <i>Mathematische Zeitschrift</i>. Unknown, 2005. <a href=\"https://doi.org/10.1007/s00209-004-0719-z\">https://doi.org/10.1007/s00209-004-0719-z</a>.","apa":"Browning, T. D., &#38; Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. <i>Mathematische Zeitschrift</i>. Unknown. <a href=\"https://doi.org/10.1007/s00209-004-0719-z\">https://doi.org/10.1007/s00209-004-0719-z</a>"},"date_updated":"2021-01-12T06:55:33Z","quality_controlled":0,"extern":1,"volume":251,"title":"Plane curves in boxes and equal sums of two powers","date_published":"2005-09-01T00:00:00Z","publisher":"Unknown","issue":"2","abstract":[{"lang":"eng","text":"Given an absolutely irreducible ternary form F, the purpose of this paper is to produce better upper bounds for the number of integer solutions to the equation F=0, that are restricted to lie in very lopsided boxes. As an application of the main result, a new paucity estimate is obtained for equal sums of two like powers."}],"publication_status":"published","month":"09"},{"author":[{"orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2021-01-12T06:55:45Z","extern":1,"quality_controlled":0,"citation":{"apa":"Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. <i>Journal of Number Theory</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">https://doi.org/10.1016/j.jnt.2005.11.007</a>","chicago":"Browning, Timothy D. “The Density of Rational Points on a Certain Singular Cubic Surface.” <i>Journal of Number Theory</i>. Elsevier, 2005. <a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">https://doi.org/10.1016/j.jnt.2005.11.007</a>.","ista":"Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.","ama":"Browning TD. The density of rational points on a certain singular cubic surface. <i>Journal of Number Theory</i>. 2005;119(2):242-283. doi:<a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">10.1016/j.jnt.2005.11.007</a>","ieee":"T. D. Browning, “The density of rational points on a certain singular cubic surface,” <i>Journal of Number Theory</i>, vol. 119, no. 2. Elsevier, pp. 242–283, 2005.","mla":"Browning, Timothy D. “The Density of Rational Points on a Certain Singular Cubic Surface.” <i>Journal of Number Theory</i>, vol. 119, no. 2, Elsevier, 2005, pp. 242–83, doi:<a href=\"https://doi.org/10.1016/j.jnt.2005.11.007\">10.1016/j.jnt.2005.11.007</a>.","short":"T.D. Browning, Journal of Number Theory 119 (2005) 242–283."},"date_published":"2005-12-27T00:00:00Z","publisher":"Elsevier","volume":119,"title":"The density of rational points on a certain singular cubic surface","abstract":[{"lang":"eng","text":"We show that the number of nontrivial rational points of height at most B, which lie on the cubic surface x1 x2 x3 = x4 (x1 + x2 + x3)2, has order of magnitude B (log B)6. This agrees with Manin's conjecture."}],"publication_status":"published","month":"12","issue":"2","acknowledgement":"EPSRC GR/R93155/01","year":"2005","doi":"10.1016/j.jnt.2005.11.007","page":"242 - 283","status":"public","day":"27","date_created":"2018-12-11T11:45:16Z","type":"journal_article","_id":"217","intvolume":"       119","publist_id":"7695","publication":"Journal of Number Theory"},{"intvolume":"       280","publist_id":"4619","publication":"Journal of Biological Chemistry","date_created":"2018-12-11T11:56:54Z","_id":"2307","type":"journal_article","doi":"10.1074/jbc.M412923200","page":"19177 - 19184","day":"13","status":"public","year":"2005","abstract":[{"lang":"eng","text":"The human norepinephrine (NE) transporter (hNET) attenuates neuronal signaling by rapid NE clearance from the synaptic cleft, and NET is a target for cocaine and amphetamines as well as therapeutics for depression, obsessive-compulsive disorder, and post-traumatic stress disorder. In spite of its central importance in the nervous system, little is known about how NET substrates, such as NE, 1-methyl-4-tetrahydropyridinium (MPP+), or amphetamine, interact with NET at the molecular level. Nor do we understand the mechanisms behind the transport rate. Previously we introduced a fluorescent substrate similar to MPP+, which allowed separate and simultaneous binding and transport measurement (Schwartz, J. W., Blakely, R. D., and DeFelice, L. J. (2003) J. Biol. Chem. 278, 9768-9777). Here we use this substrate, 4-(4-(dimethylamino)styrl)-N-methyl-pyridinium (ASP+), in combination with green fluorescent protein-tagged hNETs to measure substrate-transporter stoichiometry and substrate binding kinetics. Calibrated confocal microscopy and fluorescence correlation spectroscopy reveal that hNETs, which are homo-multimers, bind one substrate molecule per transporter subunit. Substrate residence at the transporter, obtained from rapid on-off kinetics revealed in fluorescence correlation spectroscopy, is 526 μs. Substrate residence obtained by infinite dilution is 1000 times slower. This novel examination of substrate-transporter kinetics indicates that a single ASP + molecule binds and unbinds thousands of times before being transported or ultimately dissociated from hNET. Calibrated fluorescent images combined with mass spectroscopy give a transport rate of 0.06 ASP +/hNET-protein/s, thus 36,000 on-off binding events (and 36 actual departures) occur for one transport event. Therefore binding has a low probability of resulting in transport. We interpret these data to mean that inefficient binding could contribute to slow transport rates."}],"month":"05","publication_status":"published","issue":"19","date_published":"2005-05-13T00:00:00Z","publisher":"American Society for Biochemistry and Molecular Biology","volume":280,"title":"Substrate binding stoichiometry and kinetics of the norepinephrine transporter","date_updated":"2021-01-12T06:56:40Z","extern":1,"quality_controlled":0,"citation":{"mla":"Schwartz, Joel, et al. “Substrate Binding Stoichiometry and Kinetics of the Norepinephrine Transporter.” <i>Journal of Biological Chemistry</i>, vol. 280, no. 19, American Society for Biochemistry and Molecular Biology, 2005, pp. 19177–84, doi:<a href=\"https://doi.org/10.1074/jbc.M412923200\">10.1074/jbc.M412923200</a>.","short":"J. Schwartz, G. Novarino, D. Piston, L. Defelice, Journal of Biological Chemistry 280 (2005) 19177–19184.","apa":"Schwartz, J., Novarino, G., Piston, D., &#38; Defelice, L. (2005). Substrate binding stoichiometry and kinetics of the norepinephrine transporter. <i>Journal of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology. <a href=\"https://doi.org/10.1074/jbc.M412923200\">https://doi.org/10.1074/jbc.M412923200</a>","ista":"Schwartz J, Novarino G, Piston D, Defelice L. 2005. Substrate binding stoichiometry and kinetics of the norepinephrine transporter. Journal of Biological Chemistry. 280(19), 19177–19184.","chicago":"Schwartz, Joel, Gaia Novarino, David Piston, and Louis Defelice. “Substrate Binding Stoichiometry and Kinetics of the Norepinephrine Transporter.” <i>Journal of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology, 2005. <a href=\"https://doi.org/10.1074/jbc.M412923200\">https://doi.org/10.1074/jbc.M412923200</a>.","ama":"Schwartz J, Novarino G, Piston D, Defelice L. Substrate binding stoichiometry and kinetics of the norepinephrine transporter. <i>Journal of Biological Chemistry</i>. 2005;280(19):19177-19184. doi:<a href=\"https://doi.org/10.1074/jbc.M412923200\">10.1074/jbc.M412923200</a>","ieee":"J. Schwartz, G. Novarino, D. Piston, and L. Defelice, “Substrate binding stoichiometry and kinetics of the norepinephrine transporter,” <i>Journal of Biological Chemistry</i>, vol. 280, no. 19. American Society for Biochemistry and Molecular Biology, pp. 19177–19184, 2005."},"author":[{"last_name":"Schwartz","first_name":"Joel","full_name":"Schwartz, Joel W"},{"id":"3E57A680-F248-11E8-B48F-1D18A9856A87","full_name":"Gaia Novarino","last_name":"Novarino","first_name":"Gaia","orcid":"0000-0002-7673-7178"},{"first_name":"David","last_name":"Piston","full_name":"Piston, David W"},{"last_name":"Defelice","first_name":"Louis","full_name":"DeFelice, Louis J"}]},{"oa":1,"day":"01","year":"2005","doi":"10.1007/b137508","page":"VIII, 203","intvolume":"        34","arxiv":1,"publist_id":"4591","citation":{"short":"É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.","mla":"Lieb, Élliott, et al. <i>The Mathematics of the Bose Gas and Its Condensation</i>. Vol. 34, Birkhäuser Verlag, 2005, doi:<a href=\"https://doi.org/10.1007/b137508\">10.1007/b137508</a>.","ieee":"É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, <i>The Mathematics of the Bose gas and its Condensation</i>, vol. 34. Basel ; Berlin: Birkhäuser Verlag, 2005.","ista":"Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The Mathematics of the Bose gas and its Condensation, Basel ; Berlin: Birkhäuser Verlag, VIII, 203p.","chicago":"Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. <i>The Mathematics of the Bose Gas and Its Condensation</i>. Vol. 34. Basel ; Berlin: Birkhäuser Verlag, 2005. <a href=\"https://doi.org/10.1007/b137508\">https://doi.org/10.1007/b137508</a>.","ama":"Lieb É, Seiringer R, Solovej J, Yngvason J. <i>The Mathematics of the Bose Gas and Its Condensation</i>. Vol 34. Basel ; Berlin: Birkhäuser Verlag; 2005. doi:<a href=\"https://doi.org/10.1007/b137508\">10.1007/b137508</a>","apa":"Lieb, É., Seiringer, R., Solovej, J., &#38; Yngvason, J. (2005). <i>The Mathematics of the Bose gas and its Condensation</i> (Vol. 34). Basel ; Berlin: Birkhäuser Verlag. <a href=\"https://doi.org/10.1007/b137508\">https://doi.org/10.1007/b137508</a>"},"date_updated":"2021-12-22T08:04:00Z","extern":"1","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","external_id":{"arxiv":["cond-mat/0610117"]},"alternative_title":["Oberwolfach Seminars"],"abstract":[{"lang":"eng","text":"This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics."}],"publication_status":"published","title":"The Mathematics of the Bose gas and its Condensation","date_published":"2005-01-01T00:00:00Z","publisher":"Birkhäuser Verlag","type":"book","_id":"2335","date_created":"2018-12-11T11:57:03Z","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/cond-mat/0610117","open_access":"1"}],"publication_identifier":{"isbn":["978-3-7643-7336-8"]},"oa_version":"Preprint","quality_controlled":"1","place":"Basel ; Berlin","author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott"},{"first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"},{"first_name":"Jan","last_name":"Solovej","full_name":"Solovej, Jan"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"month":"01","article_processing_charge":"No","volume":34,"language":[{"iso":"eng"}]},{"publisher":"Springer","date_published":"2005-01-01T00:00:00Z","title":"The quantum-mechanical many-body problem: The Bose gas","volume":27,"publication_status":"published","month":"01","abstract":[{"text":"\n\nNow that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4–5 decades ago, and to explore new regimes not treated before. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous — and this fact is used in all modeling. In such cases, the leading term in the energy/particle is 2πħ2 aρ/m where a is the scattering length of the two-body potential. Owing to the delicate and peculiar nature of bosonic correlations (such as the strange N 7/5 law for charged bosons), four decades of research failed to establish this plausible formula rigorously. The only previous lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct asymptotic formula has been obtained by us and this work will be presented. The reason behind the mathematical difficulties will be emphasized. A different formula, postulated as late as 1971 by Schick, holds in two dimensions and this, too, will be shown to be correct. With the aid of the methodology developed to prove the lower bound for the homogeneous gas, several other problems have been successfully addressed. One is the proof by us that the Gross-Pitaevskii equation correctly describes the ground state in the ‘traps’ actually used in the experiments. For this system it is also possible to prove complete Bose condensation and superfluidity as we have shown. On the frontier of experimental developments is the possibility that a dilute gas in an elongated trap will behave like a one-dimensional system; we have proved this mathematically. Another topic is a proof that Foldy’s 1961 theory of a high density Bose gas of charged particles correctly describes its ground state energy; using this we can also prove the N 7/5 formula for the ground state energy of the two-component charged Bose gas proposed by Dyson in 1967. All of this is quite recent work and it is hoped that the mathematical methodology might be useful, ultimately, to solve more complex problems connected with these interesting systems.","lang":"eng"}],"author":[{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"alternative_title":["Mathematical Physics Studies"],"quality_controlled":0,"extern":1,"date_updated":"2021-01-12T06:56:52Z","citation":{"apa":"Lieb, É., Seiringer, R., Solovej, J., &#38; Yngvason, J. (2005). The quantum-mechanical many-body problem: The Bose gas. In M. Benedicks, P. Jones, S. Smirnov, &#38; B. Winckler (Eds.), <i>Perspectives in Analysis</i> (Vol. 27, pp. 97–183). Springer. <a href=\"https://doi.org/10.1007/3-540-30434-7_9\">https://doi.org/10.1007/3-540-30434-7_9</a>","ista":"Lieb É, Seiringer R, Solovej J, Yngvason J. 2005.The quantum-mechanical many-body problem: The Bose gas. In: Perspectives in Analysis. Mathematical Physics Studies, vol. 27, 97–183.","ama":"Lieb É, Seiringer R, Solovej J, Yngvason J. The quantum-mechanical many-body problem: The Bose gas. In: Benedicks M, Jones P, Smirnov S, Winckler B, eds. <i>Perspectives in Analysis</i>. Vol 27. Springer; 2005:97-183. doi:<a href=\"https://doi.org/10.1007/3-540-30434-7_9\">10.1007/3-540-30434-7_9</a>","chicago":"Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” In <i>Perspectives in Analysis</i>, edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler, 27:97–183. Springer, 2005. <a href=\"https://doi.org/10.1007/3-540-30434-7_9\">https://doi.org/10.1007/3-540-30434-7_9</a>.","ieee":"É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “The quantum-mechanical many-body problem: The Bose gas,” in <i>Perspectives in Analysis</i>, vol. 27, M. Benedicks, P. Jones, S. Smirnov, and B. Winckler, Eds. Springer, 2005, pp. 97–183.","short":"É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.","mla":"Lieb, Élliott, et al. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” <i>Perspectives in Analysis</i>, edited by Michael Benedicks et al., vol. 27, Springer, 2005, pp. 97–183, doi:<a href=\"https://doi.org/10.1007/3-540-30434-7_9\">10.1007/3-540-30434-7_9</a>."},"publist_id":"4590","intvolume":"        27","publication":"Perspectives in Analysis","editor":[{"first_name":"Michael","last_name":"Benedicks","full_name":"Benedicks, Michael"},{"first_name":"Peter","last_name":"Jones","full_name":"Jones, Peter W"},{"first_name":"Stanislav","last_name":"Smirnov","full_name":"Smirnov, Stanislav"},{"last_name":"Winckler","first_name":"Björn","full_name":"Winckler, Björn"}],"status":"public","doi":"10.1007/3-540-30434-7_9","year":"2005","day":"01","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0405004","open_access":"1"}],"page":"97 - 183","oa":1,"date_created":"2018-12-11T11:57:04Z","_id":"2336","type":"book_chapter"},{"publication":"Physical Review Letters","publist_id":"4566","intvolume":"        94","main_file_link":[{"url":"http://arxiv.org/abs/math-ph/0412023","open_access":"1"}],"status":"public","doi":"10.1103/PhysRevLett.94.080401","year":"2005","day":"04","type":"journal_article","_id":"2359","date_created":"2018-12-11T11:57:12Z","oa":1,"volume":94,"title":"Justification of c-number substitutions in bosonic hamiltonians","date_published":"2005-03-04T00:00:00Z","publisher":"American Physical Society","issue":"8","publication_status":"published","month":"03","abstract":[{"lang":"eng","text":"The validity of substituting a c-number z for the k = 0 mode operator a0 is established rigorously in full generality, thereby verifying one aspect of Bogoliubov's 1947 theory. This substitution not only yields the correct value of thermodynamic quantities such as the pressure or ground state energy, but also the value of |z|2 that maximizes the partition function equals the true amount of condensation in the presence of a gauge-symmetry-breaking term. This point had previously been elusive."}],"author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"citation":{"short":"É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).","mla":"Lieb, Élliott, et al. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” <i>Physical Review Letters</i>, vol. 94, no. 8, American Physical Society, 2005, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.94.080401\">10.1103/PhysRevLett.94.080401</a>.","chicago":"Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” <i>Physical Review Letters</i>. American Physical Society, 2005. <a href=\"https://doi.org/10.1103/PhysRevLett.94.080401\">https://doi.org/10.1103/PhysRevLett.94.080401</a>.","ama":"Lieb É, Seiringer R, Yngvason J. Justification of c-number substitutions in bosonic hamiltonians. <i>Physical Review Letters</i>. 2005;94(8). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.94.080401\">10.1103/PhysRevLett.94.080401</a>","ista":"Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions in bosonic hamiltonians. Physical Review Letters. 94(8).","apa":"Lieb, É., Seiringer, R., &#38; Yngvason, J. (2005). Justification of c-number substitutions in bosonic hamiltonians. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.94.080401\">https://doi.org/10.1103/PhysRevLett.94.080401</a>","ieee":"É. Lieb, R. Seiringer, and J. Yngvason, “Justification of c-number substitutions in bosonic hamiltonians,” <i>Physical Review Letters</i>, vol. 94, no. 8. American Physical Society, 2005."},"quality_controlled":0,"extern":1,"date_updated":"2021-01-12T06:57:00Z"},{"date_created":"2018-12-11T11:57:13Z","oa":1,"type":"journal_article","_id":"2361","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0412009"}],"day":"01","doi":"10.1103/PhysRevA.71.062329","status":"public","year":"2005","intvolume":"        71","publist_id":"4564","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","date_updated":"2021-01-12T06:57:01Z","quality_controlled":0,"extern":1,"citation":{"mla":"Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 6, American Physical Society, 2005, doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">10.1103/PhysRevA.71.062329</a>.","short":"É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).","ieee":"É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 6. American Physical Society, 2005.","chicago":"Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2005. <a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">https://doi.org/10.1103/PhysRevA.71.062329</a>.","ista":"Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).","ama":"Lieb É, Seiringer R. Stronger subadditivity of entropy. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2005;71(6). doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">10.1103/PhysRevA.71.062329</a>","apa":"Lieb, É., &#38; Seiringer, R. (2005). Stronger subadditivity of entropy. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">https://doi.org/10.1103/PhysRevA.71.062329</a>"},"author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"abstract":[{"lang":"eng","text":"The strong subadditivity of entropy plays a key role in several areas of physics and mathematics. It states that the entropy S[±]=- Tr(ϱlnϱ) of a density matrix ϱ123 on the product of three Hilbert spaces satisfies S[ϱ123]- S[ϱ12]≤S[ϱ23]-S[ϱ2]. We strengthen this to S[ϱ123]-S[ϱ12] ≤αnα(S[ϱ23α]-S[ϱ2α]), where the nα are weights and the ϱ23α are partitions of ϱ23. Correspondingly, there is a strengthening of the theorem that the map A|Trexp[L+lnA] is concave. As applications we prove some monotonicity and convexity properties of the Wehrl coherent state entropy and entropy inequalities for quantum gases."}],"publication_status":"published","month":"06","issue":"6","publisher":"American Physical Society","date_published":"2005-06-01T00:00:00Z","title":"Stronger subadditivity of entropy","volume":71},{"intvolume":"        71","publist_id":"4565","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","oa":1,"date_created":"2018-12-11T11:57:13Z","_id":"2362","type":"journal_article","status":"public","year":"2005","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0412080"}],"day":"01","doi":"10.1103/PhysRevA.71.053605","abstract":[{"text":"Recent developments in the physics of low-density trapped gases make it worthwhile to verify old, well-known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials. We use and extend recently developed techniques to give a rigorous derivation of the asymptotic formula for the ground-state energy of a dilute gas of N fermions interacting with a short-range, positive potential of scattering length a. For spin-12 fermions, this is E∼E0+(22m)2πNa, where E0 is the energy of the noninteracting system and is the density. A similar formula holds in two dimensions (2D), with a replaced by ln(a2). Obviously this 2D energy is not the expectation value of a density-independent pseudopotential.","lang":"eng"}],"month":"05","publication_status":"published","issue":"5","date_published":"2005-05-01T00:00:00Z","publisher":"American Physical Society","title":"Ground state energy of the low density Fermi gas","volume":71,"date_updated":"2021-01-12T06:57:01Z","extern":1,"quality_controlled":0,"citation":{"mla":"Lieb, Élliott, et al. “Ground State Energy of the Low Density Fermi Gas.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 5, American Physical Society, 2005, doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">10.1103/PhysRevA.71.053605</a>.","short":"É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).","ama":"Lieb É, Seiringer R, Solovej J. Ground state energy of the low density Fermi gas. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2005;71(5). doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">10.1103/PhysRevA.71.053605</a>","chicago":"Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2005. <a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">https://doi.org/10.1103/PhysRevA.71.053605</a>.","ista":"Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).","apa":"Lieb, É., Seiringer, R., &#38; Solovej, J. (2005). Ground state energy of the low density Fermi gas. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.71.053605\">https://doi.org/10.1103/PhysRevA.71.053605</a>","ieee":"É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density Fermi gas,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 5. American Physical Society, 2005."},"author":[{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"}]}]