[{"day":"13","date_published":"2012-05-13T00:00:00Z","title":"Analytic anti-aliasing of linear functions on polytopes","oa":1,"publication_status":"published","quality_controlled":0,"type":"conference","publisher":"Wiley-Blackwell","abstract":[{"lang":"eng","text":"This paper presents an analytic formulation for anti-aliased sampling of 2D polygons and 3D polyhedra. Our framework allows the exact evaluation of the convolution integral with a linear function defined on the polytopes. The filter is a spherically symmetric polynomial of any order, supporting approximations to refined variants such as the Mitchell-Netravali filter family. This enables high-quality rasterization of triangles and tetrahedra with linearly interpolated vertex values to regular and non-regular grids. A closed form solution of the convolution is presented and an efficient implementation on the GPU using DirectX and CUDA C is described. "}],"alternative_title":["Computer Graphics Forum"],"publist_id":"4676","date_updated":"2021-01-12T06:56:24Z","date_created":"2018-12-11T11:56:40Z","intvolume":"        31","status":"public","author":[{"first_name":"Thomas","id":"4718F954-F248-11E8-B48F-1D18A9856A87","full_name":"Thomas Auzinger","last_name":"Auzinger","orcid":"0000-0002-1546-3265"},{"first_name":"Michael","last_name":"Guthe","full_name":"Guthe, Michael"},{"first_name":"Stefan","id":"44D6411A-F248-11E8-B48F-1D18A9856A87","last_name":"Jeschke","full_name":"Stefan Jeschke"}],"page":"335 - 344","month":"05","citation":{"chicago":"Auzinger, Thomas, Michael Guthe, and Stefan Jeschke. “Analytic Anti-Aliasing of Linear Functions on Polytopes,” 31:335–44. Wiley-Blackwell, 2012. <a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>.","ieee":"T. Auzinger, M. Guthe, and S. Jeschke, “Analytic anti-aliasing of linear functions on polytopes,” presented at the EUROGRAPHICS: European Association for Computer Graphics, 2012, vol. 31, no. 121, pp. 335–344.","short":"T. Auzinger, M. Guthe, S. Jeschke, in:, Wiley-Blackwell, 2012, pp. 335–344.","mla":"Auzinger, Thomas, et al. <i>Analytic Anti-Aliasing of Linear Functions on Polytopes</i>. Vol. 31, no. 121, Wiley-Blackwell, 2012, pp. 335–44, doi:<a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>.","apa":"Auzinger, T., Guthe, M., &#38; Jeschke, S. (2012). Analytic anti-aliasing of linear functions on polytopes (Vol. 31, pp. 335–344). Presented at the EUROGRAPHICS: European Association for Computer Graphics, Wiley-Blackwell. <a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>","ama":"Auzinger T, Guthe M, Jeschke S. Analytic anti-aliasing of linear functions on polytopes. In: Vol 31. Wiley-Blackwell; 2012:335-344. doi:<a href=\"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x\">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>","ista":"Auzinger T, Guthe M, Jeschke S. 2012. Analytic anti-aliasing of linear functions on polytopes. EUROGRAPHICS: European Association for Computer Graphics, Computer Graphics Forum, vol. 31, 335–344."},"acknowledgement":"Funding was provided by the FWF grant P20768-N13.\nWe want to thank the reviewers for their insightful and helpful remarks, Hang Si for making available TetGen and Stefan Bruckner for VolumeShop.","issue":121,"conference":{"name":"EUROGRAPHICS: European Association for Computer Graphics"},"extern":1,"_id":"2268","year":"2012","volume":31,"main_file_link":[{"url":"https://www.cg.tuwien.ac.at/research/publications/2012/Auzinger_2012_AAA/","open_access":"1"}],"doi":"http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x"},{"day":"01","title":"Ground state properties of multi-polaron systems","date_published":"2012-08-01T00:00:00Z","oa":1,"type":"conference","publication_status":"published","quality_controlled":0,"publisher":"World Scientific Publishing","abstract":[{"text":"We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density. ","lang":"eng"}],"publist_id":"4611","date_updated":"2021-01-12T06:56:44Z","date_created":"2018-12-11T11:56:57Z","status":"public","author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer"},{"full_name":"Thomas, Lawrence E","last_name":"Thomas","first_name":"Lawrence"}],"month":"08","page":"477 - 485","citation":{"chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. <a href=\"https://doi.org/10.1142/9789814449243_0045\">https://doi.org/10.1142/9789814449243_0045</a>.","mla":"Frank, Rupert, et al. <i>Ground State Properties of Multi-Polaron Systems</i>. World Scientific Publishing, 2012, pp. 477–85, doi:<a href=\"https://doi.org/10.1142/9789814449243_0045\">10.1142/9789814449243_0045</a>.","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.","ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Ground state properties of multi-polaron systems,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 477–485.","ama":"Frank R, Lieb É, Seiringer R, Thomas L. Ground state properties of multi-polaron systems. In: World Scientific Publishing; 2012:477-485. doi:<a href=\"https://doi.org/10.1142/9789814449243_0045\">10.1142/9789814449243_0045</a>","apa":"Frank, R., Lieb, É., Seiringer, R., &#38; Thomas, L. (2012). Ground state properties of multi-polaron systems (pp. 477–485). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814449243_0045\">https://doi.org/10.1142/9789814449243_0045</a>","ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2012. Ground state properties of multi-polaron systems. ICMP: International Congress on Mathematical Physics, 477–485."},"conference":{"name":"ICMP: International Congress on Mathematical Physics"},"extern":1,"_id":"2316","year":"2012","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1209.3717"}],"doi":"10.1142/9789814449243_0045"},{"day":"01","title":"Microscopic derivation of the Ginzburg-Landau model","date_published":"2012-08-01T00:00:00Z","oa":1,"publisher":"World Scientific Publishing","abstract":[{"lang":"eng","text":"We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. "}],"quality_controlled":0,"publication_status":"published","type":"conference","status":"public","publist_id":"4610","date_created":"2018-12-11T11:56:57Z","date_updated":"2021-01-12T06:56:44Z","citation":{"ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics, 575–583.","apa":"Frank, R., Hainzl, C., Seiringer, R., &#38; Solovej, J. (2012). Microscopic derivation of the Ginzburg-Landau model (pp. 575–583). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1142/9789814449243_0060\">https://doi.org/10.1142/9789814449243_0060</a>","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of the Ginzburg-Landau model. In: World Scientific Publishing; 2012:575-583. doi:<a href=\"https://doi.org/10.1142/9789814449243_0060\">10.1142/9789814449243_0060</a>","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of the Ginzburg-Landau model,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 575–583.","mla":"Frank, Rupert, et al. <i>Microscopic Derivation of the Ginzburg-Landau Model</i>. World Scientific Publishing, 2012, pp. 575–83, doi:<a href=\"https://doi.org/10.1142/9789814449243_0060\">10.1142/9789814449243_0060</a>.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.","chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. <a href=\"https://doi.org/10.1142/9789814449243_0060\">https://doi.org/10.1142/9789814449243_0060</a>."},"author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Solovej","full_name":"Solovej, Jan P","first_name":"Jan"}],"month":"08","page":"575 - 583","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"_id":"2317","year":"2012","extern":1,"doi":"10.1142/9789814449243_0060","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1209.1080"}]},{"month":"06","page":"321-328","author":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"acknowledgement":"Partial financial support by NSERC ","citation":{"ista":"Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.","apa":"Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>","ama":"Seiringer R. Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. 2012;2(3):321-328. doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>","ieee":"R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” <i>Journal of Spectral Theory</i>, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012.","mla":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>.","short":"R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.","chicago":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>. European Mathematical Society, 2012. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>."},"date_updated":"2021-01-12T06:56:44Z","date_created":"2018-12-11T11:56:58Z","oa_version":"Preprint","department":[{"_id":"RoSe"}],"publist_id":"4609","status":"public","intvolume":"         2","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1204.0435"}],"volume":2,"doi":"10.4171/JST/31","issue":"3","year":"2012","_id":"2318","oa":1,"date_published":"2012-06-24T00:00:00Z","title":"Absence of bound states implies non-negativity of the scattering length","day":"24","publication":"Journal of Spectral Theory","language":[{"iso":"eng"}],"publication_status":"published","quality_controlled":"1","type":"journal_article","abstract":[{"lang":"eng","text":"We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. "}],"publisher":"European Mathematical Society","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87"},{"date_updated":"2021-01-12T06:57:13Z","date_created":"2018-12-11T11:57:25Z","publist_id":"4531","status":"public","intvolume":"        25","page":"667 - 713","month":"01","author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"full_name":"Robert Seiringer","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Solovej","full_name":"Solovej, Jan P","first_name":"Jan"}],"citation":{"chicago":"Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” <i>Journal of the American Mathematical Society</i>. American Mathematical Society, 2012. <a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">https://doi.org/10.1090/S0894-0347-2012-00735-8</a>.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of Ginzburg-Landau theory,” <i>Journal of the American Mathematical Society</i>, vol. 25, no. 3. American Mathematical Society, pp. 667–713, 2012.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.","mla":"Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” <i>Journal of the American Mathematical Society</i>, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:<a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">10.1090/S0894-0347-2012-00735-8</a>.","apa":"Frank, R., Hainzl, C., Seiringer, R., &#38; Solovej, J. (2012). Microscopic derivation of Ginzburg-Landau theory. <i>Journal of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">https://doi.org/10.1090/S0894-0347-2012-00735-8</a>","ama":"Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of Ginzburg-Landau theory. <i>Journal of the American Mathematical Society</i>. 2012;25(3):667-713. doi:<a href=\"https://doi.org/10.1090/S0894-0347-2012-00735-8\">10.1090/S0894-0347-2012-00735-8</a>","ista":"Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 25(3), 667–713."},"issue":"3","extern":1,"_id":"2395","year":"2012","volume":25,"main_file_link":[{"url":"http://arxiv.org/abs/1102.4001","open_access":"1"}],"doi":"10.1090/S0894-0347-2012-00735-8","title":"Microscopic derivation of Ginzburg-Landau theory","date_published":"2012-01-01T00:00:00Z","day":"01","publication":"Journal of the American Mathematical Society","oa":1,"type":"journal_article","publication_status":"published","quality_controlled":0,"abstract":[{"text":"We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. ","lang":"eng"}],"publisher":"American Mathematical Society"},{"author":[{"first_name":"Benjamin","last_name":"Landon","full_name":"Landon, Benjamin"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Robert Seiringer"}],"month":"06","page":"237 - 243","citation":{"ista":"Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243.","apa":"Landon, B., &#38; Seiringer, R. (2012). The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>","ama":"Landon B, Seiringer R. The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. 2012;100(3):237-243. doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>","ieee":"B. Landon and R. Seiringer, “The scattering length at positive temperature,” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3. Springer, pp. 237–243, 2012.","short":"B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.","mla":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>.","chicago":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>."},"publist_id":"4529","date_updated":"2021-01-12T06:57:13Z","date_created":"2018-12-11T11:57:25Z","intvolume":"       100","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1111.1683","open_access":"1"}],"volume":100,"doi":"10.1007/s11005-012-0566-5","issue":"3","year":"2012","_id":"2396","extern":1,"oa":1,"day":"01","title":"The scattering length at positive temperature","date_published":"2012-06-01T00:00:00Z","publication":"Letters in Mathematical Physics","quality_controlled":0,"publication_status":"published","type":"journal_article","publisher":"Springer","abstract":[{"lang":"eng","text":"A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of -Δ and, with Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009), a bound was given in the case of finite range potentials and sufficiently low temperature. In this paper, we improve the bound and extend it to potentials of infinite range."}]},{"publication_status":"published","quality_controlled":0,"type":"journal_article","publisher":"Springer","abstract":[{"lang":"eng","text":"We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross-Pitaevskii functional, describing a Bose-Einstein condensate of fermion pairs."}],"oa":1,"day":"01","title":"Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs","date_published":"2012-05-01T00:00:00Z","publication":"Letters in Mathematical Physics","volume":100,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1105.1100"}],"doi":"10.1007/s11005-011-0535-4","issue":"2","_id":"2397","year":"2012","extern":1,"author":[{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Robert Seiringer"}],"month":"05","page":"119 - 138","citation":{"ista":"Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.","ama":"Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. <i>Letters in Mathematical Physics</i>. 2012;100(2):119-138. doi:<a href=\"https://doi.org/10.1007/s11005-011-0535-4\">10.1007/s11005-011-0535-4</a>","apa":"Hainzl, C., &#38; Seiringer, R. (2012). Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-011-0535-4\">https://doi.org/10.1007/s11005-011-0535-4</a>","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.","mla":"Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” <i>Letters in Mathematical Physics</i>, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:<a href=\"https://doi.org/10.1007/s11005-011-0535-4\">10.1007/s11005-011-0535-4</a>.","ieee":"C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs,” <i>Letters in Mathematical Physics</i>, vol. 100, no. 2. Springer, pp. 119–138, 2012.","chicago":"Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” <i>Letters in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s11005-011-0535-4\">https://doi.org/10.1007/s11005-011-0535-4</a>."},"publist_id":"4530","date_updated":"2021-01-12T06:57:14Z","date_created":"2018-12-11T11:57:25Z","intvolume":"       100","status":"public"},{"intvolume":"        24","status":"public","publist_id":"4528","date_created":"2018-12-11T11:57:26Z","date_updated":"2020-07-14T12:45:40Z","citation":{"chicago":"Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2012. <a href=\"https://doi.org/10.1142/S0129055X12300026\">https://doi.org/10.1142/S0129055X12300026</a>.","ieee":"V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing and non-equilibrium statistical mechanics,” <i>Reviews in Mathematical Physics</i>, vol. 24, no. 6. World Scientific Publishing, 2012.","mla":"Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” <i>Reviews in Mathematical Physics</i>, vol. 24, no. 6, World Scientific Publishing, 2012, doi:<a href=\"https://doi.org/10.1142/S0129055X12300026\">10.1142/S0129055X12300026</a>.","short":"V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).","apa":"Jakšić, V., Ogata, Y., Pillet, C., &#38; Seiringer, R. (2012). Quantum hypothesis testing and non-equilibrium statistical mechanics. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X12300026\">https://doi.org/10.1142/S0129055X12300026</a>","ama":"Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium statistical mechanics. <i>Reviews in Mathematical Physics</i>. 2012;24(6). doi:<a href=\"https://doi.org/10.1142/S0129055X12300026\">10.1142/S0129055X12300026</a>","ista":"Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6)."},"author":[{"first_name":"Vojkan","full_name":"Jakšić, Vojkan","last_name":"Jakšić"},{"full_name":"Ogata, Yoshiko","last_name":"Ogata","first_name":"Yoshiko"},{"last_name":"Pillet","full_name":"Pillet, Claude A","first_name":"Claude"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer"}],"month":"07","year":"2012","_id":"2398","extern":1,"issue":"6","doi":"10.1142/S0129055X12300026","volume":24,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1109.3804"}],"publication":"Reviews in Mathematical Physics","day":"01","title":"Quantum hypothesis testing and non-equilibrium statistical mechanics","date_published":"2012-07-01T00:00:00Z","oa":1,"publisher":"World Scientific Publishing","abstract":[{"lang":"eng","text":"We extend the mathematical theory of quantum hypothesis testing to the general W*-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics. In particular, we relate the large deviation principle for the full counting statistics of entropy flow to quantum hypothesis testing of the arrow of time."}],"publication_status":"published","type":"review","quality_controlled":0},{"type":"journal_article","publication_status":"published","quality_controlled":0,"abstract":[{"lang":"eng","text":"If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form. When passing through the critical α c from above, does the radius of the system simply get arbitrarily large or does it reach a maximum and then explode? We prove that it is always the latter. We also prove the analogous statement for the Pekar-Tomasevich (PT) approximation to the energy, in which case there is a solution to the PT equation at α c. Similarly, we show that the same phenomenon occurs for atoms, e. g., helium, at the critical value of the nuclear charge. Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger equation, and are very general. They use the fact that the Coulomb repulsion decays like 1/r, while 'uncertainty principle' localization energies decay more rapidly, as 1/r 2."}],"publisher":"Springer","oa":1,"date_published":"2012-07-01T00:00:00Z","title":"Binding of polarons and atoms at threshold","day":"01","publication":"Communications in Mathematical Physics","volume":313,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1106.0729"}],"doi":"10.1007/s00220-012-1436-9","issue":"2","extern":1,"_id":"2400","year":"2012","page":"405 - 424","month":"07","author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"last_name":"Lieb","full_name":"Lieb, Élliott H","first_name":"Élliott"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer"}],"citation":{"ista":"Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424.","ama":"Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. <i>Communications in Mathematical Physics</i>. 2012;313(2):405-424. doi:<a href=\"https://doi.org/10.1007/s00220-012-1436-9\">10.1007/s00220-012-1436-9</a>","apa":"Frank, R., Lieb, É., &#38; Seiringer, R. (2012). Binding of polarons and atoms at threshold. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-012-1436-9\">https://doi.org/10.1007/s00220-012-1436-9</a>","short":"R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.","mla":"Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” <i>Communications in Mathematical Physics</i>, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:<a href=\"https://doi.org/10.1007/s00220-012-1436-9\">10.1007/s00220-012-1436-9</a>.","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” <i>Communications in Mathematical Physics</i>, vol. 313, no. 2. Springer, pp. 405–424, 2012.","chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-012-1436-9\">https://doi.org/10.1007/s00220-012-1436-9</a>."},"date_created":"2018-12-11T11:57:27Z","date_updated":"2021-01-12T06:57:15Z","publist_id":"4527","status":"public","intvolume":"       313"},{"abstract":[{"text":"We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].","lang":"eng"}],"publisher":"Springer","quality_controlled":0,"publication_status":"published","type":"journal_article","publication":"Journal of Statistical Physics","title":"Further implications of the Bessis-Moussa-Villani conjecture","date_published":"2012-10-01T00:00:00Z","day":"01","oa":1,"_id":"2401","extern":1,"year":"2012","issue":"1","doi":"10.1007/s10955-012-0585-8","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1206.0460"}],"volume":149,"status":"public","intvolume":"       149","date_updated":"2021-01-12T06:57:16Z","date_created":"2018-12-11T11:57:27Z","publist_id":"4525","citation":{"ieee":"É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani conjecture,” <i>Journal of Statistical Physics</i>, vol. 149, no. 1. Springer, pp. 86–91, 2012.","mla":"Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” <i>Journal of Statistical Physics</i>, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:<a href=\"https://doi.org/10.1007/s10955-012-0585-8\">10.1007/s10955-012-0585-8</a>.","short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.","chicago":"Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” <i>Journal of Statistical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s10955-012-0585-8\">https://doi.org/10.1007/s10955-012-0585-8</a>.","ista":"Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91.","apa":"Lieb, É., &#38; Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani conjecture. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-012-0585-8\">https://doi.org/10.1007/s10955-012-0585-8</a>","ama":"Lieb É, Seiringer R. Further implications of the Bessis-Moussa-Villani conjecture. <i>Journal of Statistical Physics</i>. 2012;149(1):86-91. doi:<a href=\"https://doi.org/10.1007/s10955-012-0585-8\">10.1007/s10955-012-0585-8</a>"},"month":"10","page":"86 - 91","author":[{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}]},{"date_updated":"2021-01-12T06:57:16Z","date_created":"2018-12-11T11:57:27Z","publist_id":"4524","status":"public","intvolume":"        53","month":"09","author":[{"full_name":"Frank, Rupert L","last_name":"Frank","first_name":"Rupert"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Robert Seiringer","last_name":"Seiringer"}],"citation":{"apa":"Frank, R., &#38; Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.3697416\">https://doi.org/10.1063/1.3697416</a>","ama":"Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with point interactions. <i>Journal of Mathematical Physics</i>. 2012;53(9). doi:<a href=\"https://doi.org/10.1063/1.3697416\">10.1063/1.3697416</a>","ista":"Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).","chicago":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2012. <a href=\"https://doi.org/10.1063/1.3697416\">https://doi.org/10.1063/1.3697416</a>.","ieee":"R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9. American Institute of Physics, 2012.","mla":"Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” <i>Journal of Mathematical Physics</i>, vol. 53, no. 9, American Institute of Physics, 2012, doi:<a href=\"https://doi.org/10.1063/1.3697416\">10.1063/1.3697416</a>.","short":"R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012)."},"issue":"9","_id":"2402","year":"2012","extern":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1112.5617"}],"volume":53,"doi":"10.1063/1.3697416","title":"Lieb-Thirring inequality for a model of particles with point interactions","date_published":"2012-09-28T00:00:00Z","day":"28","publication":"Journal of Mathematical Physics","oa":1,"publication_status":"published","type":"journal_article","quality_controlled":0,"abstract":[{"text":"We consider a model of quantum-mechanical particles interacting via point interactions of infinite scattering length. In the case of fermions we prove a Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded from below by a constant times the integral of the particle density to the power.","lang":"eng"}],"publisher":"American Institute of Physics"},{"publication":"Journal of Statistical Mechanics Theory and Experiment","date_published":"2012-11-01T00:00:00Z","title":"Disordered Bose-Einstein condensates with interaction in one dimension","day":"01","oa":1,"abstract":[{"text":"We study the effects of random scatterers on the ground state of the one-dimensional Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii regime. We prove that Bose-Einstein condensation survives even a strong random potential with a high density of scatterers. The character of the wavefunction of the condensate, however, depends in an essential way on the interplay between randomness and the strength of the two-body interaction. For low density of scatterers and strong interactions the wavefunction extends over the whole interval. A high density of scatterers and weak interactions, on the other hand, lead to localization of the wavefunction in a fragmented subset of the interval.","lang":"eng"}],"publisher":"IOP Publishing Ltd.","quality_controlled":0,"publication_status":"published","type":"journal_article","status":"public","intvolume":"      2012","date_updated":"2021-01-12T06:57:16Z","date_created":"2018-12-11T11:57:28Z","publist_id":"4523","citation":{"ista":"Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012(11).","ama":"Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates with interaction in one dimension. <i>Journal of Statistical Mechanics Theory and Experiment</i>. 2012;2012(11). doi:<a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">10.1088/1742-5468/2012/11/P11007</a>","apa":"Seiringer, R., Yngvason, J., &#38; Zagrebnov, V. (2012). Disordered Bose-Einstein condensates with interaction in one dimension. <i>Journal of Statistical Mechanics Theory and Experiment</i>. IOP Publishing Ltd. <a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>","short":"R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).","mla":"Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:<a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">10.1088/1742-5468/2012/11/P11007</a>.","ieee":"R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2012, no. 11. IOP Publishing Ltd., 2012.","chicago":"Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical Mechanics Theory and Experiment</i>. IOP Publishing Ltd., 2012. <a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>."},"month":"11","author":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521"},{"first_name":"Jakob","last_name":"Yngvason","full_name":"Yngvason, Jakob"},{"last_name":"Zagrebnov","full_name":"Zagrebnov, Valentin A","first_name":"Valentin"}],"_id":"2403","year":"2012","extern":1,"issue":"11","doi":"10.1088/1742-5468/2012/11/P11007","volume":2012,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1207.7054"}]},{"has_accepted_license":"1","publisher":"Oxford University Press","quality_controlled":"1","type":"journal_article","scopus_import":1,"publication_status":"published","publication":"Molecular Biology and Evolution","date_published":"2012-05-01T00:00:00Z","title":"A consistent phylogenetic backbone for the fungi","license":"https://creativecommons.org/licenses/by-nc/4.0/","day":"01","doi":"10.1093/molbev/msr285","volume":29,"file":[{"content_type":"application/pdf","checksum":"d565dcac27d1736c0c378ea6fcf22d69","file_id":"5013","relation":"main_file","access_level":"open_access","date_updated":"2020-07-14T12:45:40Z","date_created":"2018-12-12T10:13:30Z","file_name":"IST-2015-384-v1+1_Mol_Biol_Evol-2012-Ebersberger-1319-34.pdf","file_size":754922,"creator":"system"}],"_id":"2411","issue":"5","citation":{"chicago":"Ebersberger, Ingo, Ricardo De Matos Simoes, Anne Kupczok, Matthias Gube, Erika Kothe, Kerstin Voigt, and Arndt Von Haeseler. “A Consistent Phylogenetic Backbone for the Fungi.” <i>Molecular Biology and Evolution</i>. Oxford University Press, 2012. <a href=\"https://doi.org/10.1093/molbev/msr285\">https://doi.org/10.1093/molbev/msr285</a>.","ieee":"I. Ebersberger <i>et al.</i>, “A consistent phylogenetic backbone for the fungi,” <i>Molecular Biology and Evolution</i>, vol. 29, no. 5. Oxford University Press, pp. 1319–1334, 2012.","mla":"Ebersberger, Ingo, et al. “A Consistent Phylogenetic Backbone for the Fungi.” <i>Molecular Biology and Evolution</i>, vol. 29, no. 5, Oxford University Press, 2012, pp. 1319–34, doi:<a href=\"https://doi.org/10.1093/molbev/msr285\">10.1093/molbev/msr285</a>.","short":"I. Ebersberger, R. De Matos Simoes, A. Kupczok, M. Gube, E. Kothe, K. Voigt, A. Von Haeseler, Molecular Biology and Evolution 29 (2012) 1319–1334.","apa":"Ebersberger, I., De Matos Simoes, R., Kupczok, A., Gube, M., Kothe, E., Voigt, K., &#38; Von Haeseler, A. (2012). A consistent phylogenetic backbone for the fungi. <i>Molecular Biology and Evolution</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/molbev/msr285\">https://doi.org/10.1093/molbev/msr285</a>","ama":"Ebersberger I, De Matos Simoes R, Kupczok A, et al. A consistent phylogenetic backbone for the fungi. <i>Molecular Biology and Evolution</i>. 2012;29(5):1319-1334. doi:<a href=\"https://doi.org/10.1093/molbev/msr285\">10.1093/molbev/msr285</a>","ista":"Ebersberger I, De Matos Simoes R, Kupczok A, Gube M, Kothe E, Voigt K, Von Haeseler A. 2012. A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. 29(5), 1319–1334."},"month":"05","intvolume":"        29","date_updated":"2021-01-12T06:57:19Z","date_created":"2018-12-11T11:57:30Z","department":[{"_id":"JoBo"}],"publist_id":"4515","file_date_updated":"2020-07-14T12:45:40Z","abstract":[{"text":"The kingdom of fungi provides model organisms for biotechnology, cell biology, genetics, and life sciences in general. Only when their phylogenetic relationships are stably resolved, can individual results from fungal research be integrated into a holistic picture of biology. However, and despite recent progress, many deep relationships within the fungi remain unclear. Here, we present the first phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion to strengthen phylogenetic conclusions. We reason that branches (splits) recovered with independent data and different tree reconstruction methods are likely to reflect true evolutionary relationships. Two complementary phylogenomic data sets based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed with four different tree reconstruction methods shed light from different angles on the fungal tree of life. Eleven additional data sets address specifically the phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes, respectively. The combined evidence from the resulting trees supports the deep-level stability of the fungal groups toward a comprehensive natural system of the fungi. In addition, our analysis reveals methodologically interesting aspects. Enrichment for EST encoded data-a common practice in phylogenomic analyses-introduces a strong bias toward slowly evolving and functionally correlated genes. Consequently, the generalization of phylogenomic data sets as collections of randomly selected genes cannot be taken for granted. A thorough characterization of the data to assess possible influences on the tree reconstruction should therefore become a standard in phylogenomic analyses.","lang":"eng"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","oa":1,"ddc":["570","576"],"language":[{"iso":"eng"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)"},"year":"2012","pubrep_id":"384","page":"1319 - 1334","author":[{"first_name":"Ingo","full_name":"Ebersberger, Ingo","last_name":"Ebersberger"},{"first_name":"Ricardo","last_name":"De Matos Simoes","full_name":"De Matos Simoes, Ricardo"},{"id":"2BB22BC2-F248-11E8-B48F-1D18A9856A87","first_name":"Anne","last_name":"Kupczok","full_name":"Kupczok, Anne"},{"first_name":"Matthias","full_name":"Gube, Matthias","last_name":"Gube"},{"full_name":"Kothe, Erika","last_name":"Kothe","first_name":"Erika"},{"first_name":"Kerstin","last_name":"Voigt","full_name":"Voigt, Kerstin"},{"last_name":"Von Haeseler","full_name":"Von Haeseler, Arndt","first_name":"Arndt"}],"status":"public","oa_version":"Published Version"},{"issue":"3","year":"2012","_id":"242","extern":1,"main_file_link":[{"url":"https://arxiv.org/abs/1101.5464","open_access":"1"}],"volume":55,"doi":"10.1017/S001309151100037X","publist_id":"7662","date_updated":"2021-01-12T06:57:23Z","date_created":"2018-12-11T11:45:23Z","intvolume":"        55","status":"public","author":[{"first_name":"Stephan","full_name":"Baier, Stephan","last_name":"Baier"},{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Timothy Browning","last_name":"Browning","orcid":"0000-0002-8314-0177"},{"first_name":"Gihan","last_name":"Marasingha","full_name":"Marasingha, Gihan"},{"first_name":"Liangyi","full_name":"Zhao, Liangyi","last_name":"Zhao"}],"month":"10","page":"551 - 576","citation":{"chicago":"Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao. “Averages of Shifted Convolutions of D3 (N).” <i>Proceedings of the Edinburgh Mathematical Society</i>. Cambridge University Press, 2012. <a href=\"https://doi.org/10.1017/S001309151100037X\">https://doi.org/10.1017/S001309151100037X</a>.","mla":"Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” <i>Proceedings of the Edinburgh Mathematical Society</i>, vol. 55, no. 3, Cambridge University Press, 2012, pp. 551–76, doi:<a href=\"https://doi.org/10.1017/S001309151100037X\">10.1017/S001309151100037X</a>.","short":"S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh Mathematical Society 55 (2012) 551–576.","ieee":"S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted convolutions of d3 (n),” <i>Proceedings of the Edinburgh Mathematical Society</i>, vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012.","ama":"Baier S, Browning TD, Marasingha G, Zhao L. Averages of shifted convolutions of d3 (n). <i>Proceedings of the Edinburgh Mathematical Society</i>. 2012;55(3):551-576. doi:<a href=\"https://doi.org/10.1017/S001309151100037X\">10.1017/S001309151100037X</a>","apa":"Baier, S., Browning, T. D., Marasingha, G., &#38; Zhao, L. (2012). Averages of shifted convolutions of d3 (n). <i>Proceedings of the Edinburgh Mathematical Society</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/S001309151100037X\">https://doi.org/10.1017/S001309151100037X</a>","ista":"Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576."},"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","type":"journal_article","publication_status":"published","quality_controlled":0,"publisher":"Cambridge University Press","abstract":[{"lang":"eng","text":"We investigate the first and second moments of shifted convolutions of the generalized divisor function d 3(n)."}],"day":"01","title":"Averages of shifted convolutions of d3 (n)","date_published":"2012-10-01T00:00:00Z","publication":"Proceedings of the Edinburgh Mathematical Society","oa":1},{"day":"30","title":"Incomplete kloosterman sums and multiplicative inverses in short intervals","date_published":"2012-11-30T00:00:00Z","publication":"International Journal of Number Theory","oa":1,"quality_controlled":0,"type":"journal_article","publication_status":"published","publisher":"World Scientific Publishing","abstract":[{"lang":"eng","text":"We investigate the solubility of the congruence xy ≡ 1 (mod p), where p is a prime and x, y are restricted to lie in suitable short intervals. Our work relies on a mean value theorem for incomplete Kloosterman sums."}],"publist_id":"7660","date_created":"2018-12-11T11:45:24Z","date_updated":"2021-01-12T06:57:30Z","intvolume":"         9","status":"public","author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177"},{"first_name":"Alan","last_name":"Haynes","full_name":"Haynes, Alan K"}],"month":"11","page":"481 - 486","citation":{"chicago":"Browning, Timothy D, and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” <i>International Journal of Number Theory</i>. World Scientific Publishing, 2012. <a href=\"https://doi.org/ https://doi.org/10.1142/S1793042112501448\">https://doi.org/ https://doi.org/10.1142/S1793042112501448</a>.","ieee":"T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative inverses in short intervals,” <i>International Journal of Number Theory</i>, vol. 9, no. 2. World Scientific Publishing, pp. 481–486, 2012.","short":"T.D. Browning, A. Haynes, International Journal of Number Theory 9 (2012) 481–486.","mla":"Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals.” <i>International Journal of Number Theory</i>, vol. 9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi:<a href=\"https://doi.org/ https://doi.org/10.1142/S1793042112501448\"> https://doi.org/10.1142/S1793042112501448</a>.","apa":"Browning, T. D., &#38; Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. <i>International Journal of Number Theory</i>. World Scientific Publishing. <a href=\"https://doi.org/ https://doi.org/10.1142/S1793042112501448\">https://doi.org/ https://doi.org/10.1142/S1793042112501448</a>","ama":"Browning TD, Haynes A. Incomplete kloosterman sums and multiplicative inverses in short intervals. <i>International Journal of Number Theory</i>. 2012;9(2):481-486. doi:<a href=\"https://doi.org/ https://doi.org/10.1142/S1793042112501448\"> https://doi.org/10.1142/S1793042112501448</a>","ista":"Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 9(2), 481–486."},"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council\tEPSRC,\nEP/J00149X/1\tEngineering and Physical Sciences Research Council\tEPSRC\t","issue":"2","extern":1,"_id":"244","year":"2012","main_file_link":[{"url":"https://arxiv.org/abs/1204.6374","open_access":"1"}],"volume":9,"doi":" https://doi.org/10.1142/S1793042112501448"},{"oa":1,"ddc":["580"],"language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:45:41Z","article_number":"97","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"Coordinated, subcellular trafficking of proteins is one of the fundamental properties of the multicellular eukaryotic organisms. Trafficking involves a large diversity of compartments, pathways, cargo molecules, and vesicle-sorting events. It is also crucial in regulating the localization and, thus, the activity of various proteins, but the process is still poorly genetically defined in plants. In the past, forward genetics screens had been used to determine the function of genes by searching for a specific morphological phenotype in the organism population in which mutations had been induced chemically or by irradiation. Unfortunately, these straightforward genetic screens turned out to be limited in identifying new regulators of intracellular protein transport, because mutations affecting essential trafficking pathways often lead to lethality. In addition, the use of these approaches has been restricted by functional redundancy among trafficking regulators. Screens for mutants that rely on the observation of changes in the cellular localization or dynamics of fluorescent subcellular markers enable, at least partially, to circumvent these issues. Hence, such image-based screens provide the possibility to identify either alleles with weak effects or components of the subcellular trafficking machinery that have no strong impact on the plant growth.","lang":"eng"}],"author":[{"first_name":"Marta","full_name":"Zwiewka, Marta","last_name":"Zwiewka"},{"first_name":"Jirí","id":"4159519E-F248-11E8-B48F-1D18A9856A87","full_name":"Friml, Jirí","last_name":"Friml","orcid":"0000-0002-8302-7596"}],"status":"public","oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)"},"year":"2012","publication":"Frontiers in Plant Science","day":"24","title":"Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants","date_published":"2012-05-24T00:00:00Z","has_accepted_license":"1","publisher":"Frontiers Research Foundation","quality_controlled":"1","publication_status":"published","type":"journal_article","citation":{"ista":"Zwiewka M, Friml J. 2012. Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants. Frontiers in Plant Science. 3(May), 97.","apa":"Zwiewka, M., &#38; Friml, J. (2012). Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants. <i>Frontiers in Plant Science</i>. Frontiers Research Foundation. <a href=\"https://doi.org/10.3389/fpls.2012.00097\">https://doi.org/10.3389/fpls.2012.00097</a>","ama":"Zwiewka M, Friml J. Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants. <i>Frontiers in Plant Science</i>. 2012;3(May). doi:<a href=\"https://doi.org/10.3389/fpls.2012.00097\">10.3389/fpls.2012.00097</a>","ieee":"M. Zwiewka and J. Friml, “Fluorescence imaging-based forward genetic screens to identify trafficking regulators in plants,” <i>Frontiers in Plant Science</i>, vol. 3, no. May. Frontiers Research Foundation, 2012.","mla":"Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic Screens to Identify Trafficking Regulators in Plants.” <i>Frontiers in Plant Science</i>, vol. 3, no. May, 97, Frontiers Research Foundation, 2012, doi:<a href=\"https://doi.org/10.3389/fpls.2012.00097\">10.3389/fpls.2012.00097</a>.","short":"M. Zwiewka, J. Friml, Frontiers in Plant Science 3 (2012).","chicago":"Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic Screens to Identify Trafficking Regulators in Plants.” <i>Frontiers in Plant Science</i>. Frontiers Research Foundation, 2012. <a href=\"https://doi.org/10.3389/fpls.2012.00097\">https://doi.org/10.3389/fpls.2012.00097</a>."},"month":"05","intvolume":"         3","publist_id":"4444","date_updated":"2021-01-12T06:57:36Z","date_created":"2018-12-11T11:57:47Z","doi":"10.3389/fpls.2012.00097","file":[{"creator":"kschuh","file_name":"2012_frontiers_Zwiewka.pdf","file_size":1468230,"date_updated":"2020-07-14T12:45:41Z","relation":"main_file","date_created":"2019-04-26T06:49:26Z","access_level":"open_access","file_id":"6346","checksum":"ab4e9487ccdb83a7a0a9ee6811521844","content_type":"application/pdf"}],"volume":3,"extern":"1","_id":"2459","issue":"May"},{"oa":1,"date_published":"2012-12-04T00:00:00Z","title":"Universality for random matrices and log-gases","day":"04","publication":"ArXiv","publication_status":"published","type":"preprint","quality_controlled":0,"publisher":"ArXiv","month":"12","author":[{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös","full_name":"László Erdös","orcid":"0000-0001-5366-9603"}],"citation":{"ista":"Erdös L. 2012. Universality for random matrices and log-gases. ArXiv, .","ama":"Erdös L. Universality for random matrices and log-gases. <i>ArXiv</i>. 2012.","apa":"Erdös, L. (2012). Universality for random matrices and log-gases. <i>ArXiv</i>. ArXiv.","mla":"Erdös, László. “Universality for Random Matrices and Log-Gases.” <i>ArXiv</i>, ArXiv, 2012.","short":"L. Erdös, ArXiv (2012).","ieee":"L. Erdös, “Universality for random matrices and log-gases,” <i>ArXiv</i>. ArXiv, 2012.","chicago":"Erdös, László. “Universality for Random Matrices and Log-Gases.” <i>ArXiv</i>. ArXiv, 2012."},"date_created":"2018-12-11T11:59:07Z","date_updated":"2021-01-12T06:59:06Z","publist_id":"4201","status":"public","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1212.0839"}],"extern":1,"_id":"2696","year":"2012"},{"_id":"2700","year":"2012","extern":1,"conference":{"name":"Les Houches Summer School 2010"},"main_file_link":[{"url":"http://arxiv.org/abs/1009.0843","open_access":"1"}],"volume":95,"status":"public","intvolume":"        95","date_created":"2018-12-11T11:59:08Z","date_updated":"2021-01-12T06:59:08Z","publist_id":"4196","citation":{"apa":"Erdös, L. (2012). Lecture notes on quantum Brownian motion (Vol. 95, pp. 3–98). Presented at the Les Houches Summer School 2010, Oxford University Press.","ama":"Erdös L. Lecture notes on quantum Brownian motion. In: Vol 95. Oxford University Press; 2012:3-98.","ista":"Erdös L. 2012. Lecture notes on quantum Brownian motion. Les Houches Summer School 2010, Quantum Theory from Small to Large Scales, vol. 95, 3–98.","chicago":"Erdös, László. “Lecture Notes on Quantum Brownian Motion,” 95:3–98. Oxford University Press, 2012.","ieee":"L. Erdös, “Lecture notes on quantum Brownian motion,” presented at the Les Houches Summer School 2010, 2012, vol. 95, pp. 3–98.","short":"L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.","mla":"Erdös, László. <i>Lecture Notes on Quantum Brownian Motion</i>. Vol. 95, Oxford University Press, 2012, pp. 3–98."},"month":"05","page":"3 - 98","author":[{"first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","full_name":"László Erdös","last_name":"Erdös"}],"publisher":"Oxford University Press","publication_status":"published","type":"conference","quality_controlled":0,"alternative_title":["Quantum Theory from Small to Large Scales"],"date_published":"2012-05-24T00:00:00Z","title":"Lecture notes on quantum Brownian motion","day":"24","oa":1},{"tmp":{"image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"ec_funded":1,"pubrep_id":"525","year":"2012","page":"461 - 473","author":[{"orcid":"0000-0002-4561-241X","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu"},{"last_name":"Joglekar","full_name":"Joglekar, Manas","first_name":"Manas"},{"first_name":"Nisarg","last_name":"Shah","full_name":"Shah, Nisarg"}],"related_material":{"record":[{"status":"public","relation":"later_version","id":"1598"}]},"oa_version":"Published Version","status":"public","file_date_updated":"2020-07-14T12:45:45Z","abstract":[{"text":"We consider Markov decision processes (MDPs) with specifications given as Büchi (liveness) objectives. We consider the problem of computing the set of almost-sure winning vertices from where the objective can be ensured with probability 1. We study for the first time the average case complexity of the classical algorithm for computing the set of almost-sure winning vertices for MDPs with Büchi objectives. Our contributions are as follows: First, we show that for MDPs with constant out-degree the expected number of iterations is at most logarithmic and the average case running time is linear (as compared to the worst case linear number of iterations and quadratic time complexity). Second, for the average case analysis over all MDPs we show that the expected number of iterations is constant and the average case running time is linear (again as compared to the worst case linear number of iterations and quadratic time complexity). Finally we also show that given that all MDPs are equally likely, the probability that the classical algorithm requires more than constant number of iterations is exponentially small.","lang":"eng"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","ddc":["000"],"oa":1,"language":[{"iso":"eng"}],"volume":18,"file":[{"file_size":519040,"file_name":"IST-2016-525-v1+1_42_1_.pdf","creator":"system","content_type":"application/pdf","checksum":"d4d644ed1a885dbfc4fa1ef4c5724dab","file_id":"5040","relation":"main_file","date_created":"2018-12-12T10:13:53Z","access_level":"open_access","date_updated":"2020-07-14T12:45:45Z"}],"project":[{"_id":"2584A770-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23"},{"call_identifier":"FWF","grant_number":"S11407","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425"},{"name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","call_identifier":"FP7","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"_id":"2587B514-B435-11E9-9278-68D0E5697425","name":"Microsoft Research Faculty Fellowship"}],"doi":"10.4230/LIPIcs.FSTTCS.2012.461","_id":"2715","conference":{"location":"Hyderabad, India","start_date":"2012-12-15","end_date":"2012-12-17","name":"FSTTCS: Foundations of Software Technology and Theoretical Computer Science"},"month":"12","citation":{"ama":"Chatterjee K, Joglekar M, Shah N. Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives. In: Vol 18. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2012:461-473. doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">10.4230/LIPIcs.FSTTCS.2012.461</a>","apa":"Chatterjee, K., Joglekar, M., &#38; Shah, N. (2012). Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives (Vol. 18, pp. 461–473). Presented at the FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Hyderabad, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461</a>","ista":"Chatterjee K, Joglekar M, Shah N. 2012. Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives. FSTTCS: Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol. 18, 461–473.","chicago":"Chatterjee, Krishnendu, Manas Joglekar, and Nisarg Shah. “Average Case Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives,” 18:461–73. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012. <a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461</a>.","mla":"Chatterjee, Krishnendu, et al. <i>Average Case Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives</i>. Vol. 18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012, pp. 461–73, doi:<a href=\"https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461\">10.4230/LIPIcs.FSTTCS.2012.461</a>.","short":"K. Chatterjee, M. Joglekar, N. Shah, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012, pp. 461–473.","ieee":"K. Chatterjee, M. Joglekar, and N. Shah, “Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives,” presented at the FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Hyderabad, India, 2012, vol. 18, pp. 461–473."},"date_updated":"2023-02-23T10:06:04Z","date_created":"2018-12-11T11:59:13Z","department":[{"_id":"KrCh"}],"publist_id":"4180","intvolume":"        18","alternative_title":["LIPIcs"],"has_accepted_license":"1","scopus_import":1,"publication_status":"published","type":"conference","quality_controlled":"1","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","title":"Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives","date_published":"2012-12-10T00:00:00Z","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","day":"10"},{"_id":"2848","project":[{"_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307","name":"Quantitative Graph Games: Theory and Applications","call_identifier":"FP7"},{"_id":"25832EC2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"S 11407_N23","name":"Rigorous Systems Engineering"},{"name":"Modern Graph Algorithmic Techniques in Formal Verification","grant_number":"P 23499-N23","call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425"},{"name":"Microsoft Research Faculty Fellowship","_id":"2587B514-B435-11E9-9278-68D0E5697425"}],"doi":"10.1016/j.jtbi.2012.02.021","main_file_link":[{"url":"http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3322297/","open_access":"1"}],"volume":301,"intvolume":"       301","date_updated":"2021-01-12T07:00:12Z","date_created":"2018-12-11T11:59:55Z","department":[{"_id":"KrCh"},{"_id":"ToHe"}],"publist_id":"3946","citation":{"ista":"Chatterjee K, Zufferey D, Nowak M. 2012. Evolutionary game dynamics in populations with different learners. Journal of Theoretical Biology. 301, 161–173.","apa":"Chatterjee, K., Zufferey, D., &#38; Nowak, M. (2012). Evolutionary game dynamics in populations with different learners. <i>Journal of Theoretical Biology</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">https://doi.org/10.1016/j.jtbi.2012.02.021</a>","ama":"Chatterjee K, Zufferey D, Nowak M. Evolutionary game dynamics in populations with different learners. <i>Journal of Theoretical Biology</i>. 2012;301:161-173. doi:<a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">10.1016/j.jtbi.2012.02.021</a>","ieee":"K. Chatterjee, D. Zufferey, and M. Nowak, “Evolutionary game dynamics in populations with different learners,” <i>Journal of Theoretical Biology</i>, vol. 301. Elsevier, pp. 161–173, 2012.","mla":"Chatterjee, Krishnendu, et al. “Evolutionary Game Dynamics in Populations with Different Learners.” <i>Journal of Theoretical Biology</i>, vol. 301, Elsevier, 2012, pp. 161–73, doi:<a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">10.1016/j.jtbi.2012.02.021</a>.","short":"K. Chatterjee, D. Zufferey, M. Nowak, Journal of Theoretical Biology 301 (2012) 161–173.","chicago":"Chatterjee, Krishnendu, Damien Zufferey, and Martin Nowak. “Evolutionary Game Dynamics in Populations with Different Learners.” <i>Journal of Theoretical Biology</i>. Elsevier, 2012. <a href=\"https://doi.org/10.1016/j.jtbi.2012.02.021\">https://doi.org/10.1016/j.jtbi.2012.02.021</a>."},"month":"05","publisher":"Elsevier","type":"journal_article","publication_status":"published","scopus_import":1,"quality_controlled":"1","publication":"Journal of Theoretical Biology","date_published":"2012-05-21T00:00:00Z","title":"Evolutionary game dynamics in populations with different learners","day":"21","year":"2012","ec_funded":1,"status":"public","oa_version":"Submitted Version","page":"161 - 173","author":[{"first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","orcid":"0000-0002-4561-241X"},{"id":"4397AC76-F248-11E8-B48F-1D18A9856A87","first_name":"Damien","orcid":"0000-0002-3197-8736","full_name":"Zufferey, Damien","last_name":"Zufferey"},{"first_name":"Martin","full_name":"Nowak, Martin","last_name":"Nowak"}],"abstract":[{"lang":"eng","text":"We study evolutionary game theory in a setting where individuals learn from each other. We extend the traditional approach by assuming that a population contains individuals with different learning abilities. In particular, we explore the situation where individuals have different search spaces, when attempting to learn the strategies of others. The search space of an individual specifies the set of strategies learnable by that individual. The search space is genetically given and does not change under social evolutionary dynamics. We introduce a general framework and study a specific example in the context of direct reciprocity. For this example, we obtain the counter intuitive result that cooperation can only evolve for intermediate benefit-to-cost ratios, while small and large benefit-to-cost ratios favor defection. Our paper is a step toward making a connection between computational learning theory and evolutionary game dynamics."}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","external_id":{"pmid":["22394652"]},"language":[{"iso":"eng"}],"pmid":1,"oa":1}]