[{"date_created":"2018-12-11T11:55:58Z","intvolume":"        73","year":"2006","publication":"Physical Review B - Condensed Matter and Materials Physics","volume":73,"publisher":"American Physical Society","title":"Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates","date_published":"2006-04-17T00:00:00Z","quality_controlled":0,"type":"journal_article","month":"04","date_updated":"2021-01-12T06:55:34Z","publication_status":"published","acknowledgement":"The studies were supported by the Russian Ministry of Science and Education Grant No. R662. E.N. acknowledges partial support from the French Government *CNOUS.","citation":{"ieee":"R. Vedrinskiǐ <i>et al.</i>, “Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates,” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 73, no. 13. American Physical Society, 2006.","chicago":"Vedrinskiǐ, Rostislav, Elena Nazarenko, Mikhail Lemeshko, Vivian Nassif, Olivier Proux, Alexander Novakovich, and Yves Joly. “Temperature Dependent XAFS Studies of Local Atomic Structure of the Perovskite-Type Zirconates.” <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society, 2006. <a href=\"https://doi.org/10.1103/PhysRevB.73.134109\">https://doi.org/10.1103/PhysRevB.73.134109</a>.","short":"R. Vedrinskiǐ, E. Nazarenko, M. Lemeshko, V. Nassif, O. Proux, A. Novakovich, Y. Joly, Physical Review B - Condensed Matter and Materials Physics 73 (2006).","ama":"Vedrinskiǐ R, Nazarenko E, Lemeshko M, et al. Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates. <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2006;73(13). doi:<a href=\"https://doi.org/10.1103/PhysRevB.73.134109\">10.1103/PhysRevB.73.134109</a>","mla":"Vedrinskiǐ, Rostislav, et al. “Temperature Dependent XAFS Studies of Local Atomic Structure of the Perovskite-Type Zirconates.” <i>Physical Review B - Condensed Matter and Materials Physics</i>, vol. 73, no. 13, American Physical Society, 2006, doi:<a href=\"https://doi.org/10.1103/PhysRevB.73.134109\">10.1103/PhysRevB.73.134109</a>.","apa":"Vedrinskiǐ, R., Nazarenko, E., Lemeshko, M., Nassif, V., Proux, O., Novakovich, A., &#38; Joly, Y. (2006). Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates. <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.73.134109\">https://doi.org/10.1103/PhysRevB.73.134109</a>","ista":"Vedrinskiǐ R, Nazarenko E, Lemeshko M, Nassif V, Proux O, Novakovich A, Joly Y. 2006. Temperature dependent XAFS studies of local atomic structure of the perovskite-type zirconates. Physical Review B - Condensed Matter and Materials Physics. 73(13)."},"day":"17","extern":1,"author":[{"last_name":"Vedrinskiǐ","full_name":"Vedrinskiǐ, Rostislav V","first_name":"Rostislav"},{"first_name":"Elena","full_name":"Nazarenko, Elena S","last_name":"Nazarenko"},{"orcid":"0000-0002-6990-7802","full_name":"Mikhail Lemeshko","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","last_name":"Lemeshko"},{"last_name":"Nassif","first_name":"Vivian","full_name":"Nassif, Vivian M"},{"last_name":"Proux","full_name":"Proux, Olivier","first_name":"Olivier"},{"first_name":"Alexander","full_name":"Novakovich, Alexander A","last_name":"Novakovich"},{"full_name":"Joly, Yves","first_name":"Yves","last_name":"Joly"}],"status":"public","_id":"2144","issue":"13","abstract":[{"lang":"eng","text":"Temperature dependent preedge and extended x-ray absorption fine structure measurements at the Zr K edge for the perovskite-type zirconates Pb Zr0.515 Ti0.485 O3 (PZT), PbZr O3 (PZ), and BaZr O3 are performed. To carry out a more accurate study of the weak reconstruction of the local atomic structure we employed a combination of two techniques: (i) analysis of the preedge fine structure, and (ii) analysis of the Fourier transform of the difference between χ (k) functions obtained at different temperatures. A detailed investigation of local atomic structure in the cubic phase for all the crystals is also performed. It is shown that neither the displacive nor the order-disorder model can describe correctly the changes of local atomic structure during phase transitions in PZ and PZT. A spherical model describing the local atomic structure of perovskite-type crystals suffering structural phase transitions is proposed."}],"publist_id":"4881","doi":"10.1103/PhysRevB.73.134109"},{"month":"12","type":"journal_article","publication_status":"published","date_updated":"2021-01-12T06:55:36Z","author":[{"last_name":"Browning","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Timothy Browning"},{"first_name":"Roger","full_name":"Heath-Brown, Roger","last_name":"Heath Brown"}],"extern":1,"day":"23","citation":{"mla":"Browning, Timothy D., and Roger Heath Brown. “The Density of Rational Points on Non-Singular Hypersurfaces, I.” <i>Bulletin of the London Mathematical Society</i>, vol. 38, no. 3, Wiley-Blackwell, 2006, pp. 401–10, doi:<a href=\"https://doi.org/10.1112/S0024609305018412\">10.1112/S0024609305018412</a>.","apa":"Browning, T. D., &#38; Heath Brown, R. (2006). The density of rational points on non-singular hypersurfaces, I. <i>Bulletin of the London Mathematical Society</i>. Wiley-Blackwell. <a href=\"https://doi.org/10.1112/S0024609305018412\">https://doi.org/10.1112/S0024609305018412</a>","ista":"Browning TD, Heath Brown R. 2006. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 38(3), 401–410.","ieee":"T. D. Browning and R. Heath Brown, “The density of rational points on non-singular hypersurfaces, I,” <i>Bulletin of the London Mathematical Society</i>, vol. 38, no. 3. Wiley-Blackwell, pp. 401–410, 2006.","chicago":"Browning, Timothy D, and Roger Heath Brown. “The Density of Rational Points on Non-Singular Hypersurfaces, I.” <i>Bulletin of the London Mathematical Society</i>. Wiley-Blackwell, 2006. <a href=\"https://doi.org/10.1112/S0024609305018412\">https://doi.org/10.1112/S0024609305018412</a>.","ama":"Browning TD, Heath Brown R. The density of rational points on non-singular hypersurfaces, I. <i>Bulletin of the London Mathematical Society</i>. 2006;38(3):401-410. doi:<a href=\"https://doi.org/10.1112/S0024609305018412\">10.1112/S0024609305018412</a>","short":"T.D. Browning, R. Heath Brown, Bulletin of the London Mathematical Society 38 (2006) 401–410."},"_id":"215","status":"public","issue":"3","abstract":[{"text":"For any n≥3, let F ∈ Z[X0,...,Xn ] be a form of degree d *≥5 that defines a non-singular hypersurface X ⊂ Pn . The main result in this paper is a proof of the fact that the number N (F ; B) of Q-rational points on X which have height at most B satisfiesN (F ; B) = Od,ε,n (Bn −1+ε ), for any ε &gt; 0. The implied constant in this estimate depends at most upon d, ε and n. New estimates are also obtained for the number of representations of a positive integer as the sum of three dth powers, and for the paucity of integer solutions to equal sums of like polynomials.*","lang":"eng"}],"doi":"10.1112/S0024609305018412","publist_id":"7697","date_created":"2018-12-11T11:45:15Z","intvolume":"        38","page":"401 - 410","year":"2006","volume":38,"publication":"Bulletin of the London Mathematical Society","publisher":"Wiley-Blackwell","date_published":"2006-12-23T00:00:00Z","title":"The density of rational points on non-singular hypersurfaces, I","quality_controlled":0},{"month":"04","type":"journal_article","publication_status":"published","date_updated":"2021-01-12T06:55:41Z","extern":1,"author":[{"id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","last_name":"Browning"},{"first_name":"Roger","full_name":"Heath-Brown, Roger","last_name":"Heath Brown"},{"full_name":"Salberger, Per","first_name":"Per","last_name":"Salberger"}],"day":"15","citation":{"ieee":"T. D. Browning, R. Heath Brown, and P. Salberger, “Counting rational points on algebraic varieties,” <i>Duke Mathematical Journal</i>, vol. 132, no. 3. Unknown, pp. 545–578, 2006.","chicago":"Browning, Timothy D, Roger Heath Brown, and Per Salberger. “Counting Rational Points on Algebraic Varieties.” <i>Duke Mathematical Journal</i>. Unknown, 2006. <a href=\"https://doi.org/10.1215/S0012-7094-06-13236-2\">https://doi.org/10.1215/S0012-7094-06-13236-2</a>.","short":"T.D. Browning, R. Heath Brown, P. Salberger, Duke Mathematical Journal 132 (2006) 545–578.","ama":"Browning TD, Heath Brown R, Salberger P. Counting rational points on algebraic varieties. <i>Duke Mathematical Journal</i>. 2006;132(3):545-578. doi:<a href=\"https://doi.org/10.1215/S0012-7094-06-13236-2\">10.1215/S0012-7094-06-13236-2</a>","apa":"Browning, T. D., Heath Brown, R., &#38; Salberger, P. (2006). Counting rational points on algebraic varieties. <i>Duke Mathematical Journal</i>. Unknown. <a href=\"https://doi.org/10.1215/S0012-7094-06-13236-2\">https://doi.org/10.1215/S0012-7094-06-13236-2</a>","mla":"Browning, Timothy D., et al. “Counting Rational Points on Algebraic Varieties.” <i>Duke Mathematical Journal</i>, vol. 132, no. 3, Unknown, 2006, pp. 545–78, doi:<a href=\"https://doi.org/10.1215/S0012-7094-06-13236-2\">10.1215/S0012-7094-06-13236-2</a>.","ista":"Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578."},"_id":"216","status":"public","issue":"3","publist_id":"7696","doi":"10.1215/S0012-7094-06-13236-2","abstract":[{"lang":"eng","text":"For any N ≥ 2, let Z ⊂ ℙN be a geometrically integral algebraic variety of degree d. This article is concerned with the number Nz(B) of ℚ-rational points on Z which have height at most B. For any ε &gt; 0, we establish the estimate NZ(B) = O d,ε,N(Bdim Z+ε), provided that d ≥ 6. As indicated, the implied constant depends at most on d, ε, and N."}],"intvolume":"       132","date_created":"2018-12-11T11:45:15Z","page":"545 - 578","year":"2006","volume":132,"publication":"Duke Mathematical Journal","publisher":"Unknown","title":"Counting rational points on algebraic varieties","date_published":"2006-04-15T00:00:00Z","quality_controlled":0},{"type":"journal_article","month":"01","date_updated":"2021-01-12T06:55:49Z","publication_status":"published","citation":{"chicago":"De La Bretèche, Régis, and Timothy D Browning. “Sums of Arithmetic Functions over Values of Binary Forms.” <i>Acta Arithmetica</i>. Instytut Matematyczny, 2006. <a href=\"https://doi.org/10.4064/aa125-3-6\">https://doi.org/10.4064/aa125-3-6</a>.","short":"R. De La Bretèche, T.D. Browning, Acta Arithmetica 125 (2006) 291–304.","ama":"De La Bretèche R, Browning TD. Sums of arithmetic functions over values of binary forms. <i>Acta Arithmetica</i>. 2006;125(3):291-304. doi:<a href=\"https://doi.org/10.4064/aa125-3-6\">10.4064/aa125-3-6</a>","ieee":"R. De La Bretèche and T. D. Browning, “Sums of arithmetic functions over values of binary forms,” <i>Acta Arithmetica</i>, vol. 125, no. 3. Instytut Matematyczny, pp. 291–304, 2006.","mla":"De La Bretèche, Régis, and Timothy D. Browning. “Sums of Arithmetic Functions over Values of Binary Forms.” <i>Acta Arithmetica</i>, vol. 125, no. 3, Instytut Matematyczny, 2006, pp. 291–304, doi:<a href=\"https://doi.org/10.4064/aa125-3-6\">10.4064/aa125-3-6</a>.","apa":"De La Bretèche, R., &#38; Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. <i>Acta Arithmetica</i>. Instytut Matematyczny. <a href=\"https://doi.org/10.4064/aa125-3-6\">https://doi.org/10.4064/aa125-3-6</a>","ista":"De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304."},"day":"01","extern":1,"author":[{"last_name":"De La Bretèche","full_name":"de la Bretèche, Régis","first_name":"Régis"},{"last_name":"Browning","full_name":"Timothy Browning","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8314-0177"}],"status":"public","_id":"218","issue":"3","doi":"10.4064/aa125-3-6","abstract":[{"lang":"eng","text":"This paper is concerned with the average order of certain arithmetic functions, as they range over the values taken by binary forms."}],"publist_id":"7694","date_created":"2018-12-11T11:45:16Z","intvolume":"       125","page":"291 - 304","year":"2006","publication":"Acta Arithmetica","volume":125,"publisher":"Instytut Matematyczny","title":"Sums of arithmetic functions over values of binary forms","date_published":"2006-01-01T00:00:00Z","quality_controlled":0},{"alternative_title":["Contemporary Mathematics"],"type":"conference","month":"01","publication_status":"published","date_updated":"2021-01-12T06:56:51Z","citation":{"chicago":"Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground-State Energy of a Dilute Fermi Gas,” 412:239–48. American Mathematical Society, 2006. <a href=\"https://doi.org/10.1090/conm/412\">https://doi.org/10.1090/conm/412</a>.","ama":"Lieb É, Seiringer R, Solovej J. Ground-state energy of a dilute Fermi gas. In: Vol 412. American Mathematical Society; 2006:239-248. doi:<a href=\"https://doi.org/10.1090/conm/412\">10.1090/conm/412</a>","short":"É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.","ieee":"É. Lieb, R. Seiringer, and J. Solovej, “Ground-state energy of a dilute Fermi gas,” presented at the Differential Equations and Mathematical Physics, 2006, vol. 412, pp. 239–248.","mla":"Lieb, Élliott, et al. <i>Ground-State Energy of a Dilute Fermi Gas</i>. Vol. 412, American Mathematical Society, 2006, pp. 239–48, doi:<a href=\"https://doi.org/10.1090/conm/412\">10.1090/conm/412</a>.","apa":"Lieb, É., Seiringer, R., &#38; Solovej, J. (2006). Ground-state energy of a dilute Fermi gas (Vol. 412, pp. 239–248). Presented at the Differential Equations and Mathematical Physics, American Mathematical Society. <a href=\"https://doi.org/10.1090/conm/412\">https://doi.org/10.1090/conm/412</a>","ista":"Lieb É, Seiringer R, Solovej J. 2006. Ground-state energy of a dilute Fermi gas. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 412, 239–248."},"day":"01","author":[{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"full_name":"Robert Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer"},{"first_name":"Jan","full_name":"Solovej, Jan P","last_name":"Solovej"}],"oa":1,"extern":1,"status":"public","_id":"2333","doi":"10.1090/conm/412","publist_id":"4593","date_created":"2018-12-11T11:57:03Z","intvolume":"       412","page":"239 - 248","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0507049"}],"year":"2006","volume":412,"conference":{"name":"Differential Equations and Mathematical Physics"},"publisher":"American Mathematical Society","title":"Ground-state energy of a dilute Fermi gas","date_published":"2006-01-01T00:00:00Z","quality_controlled":0},{"publication_status":"published","date_updated":"2021-01-12T06:56:51Z","citation":{"apa":"Seiringer, R., Lieb, É., &#38; Yngvason, J. (2006). One-dimensional behavior of dilute, trapped Bose gases in traps. In J. Zambrini (Ed.). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. <a href=\"https://doi.org/10.1007/s00220-003-0993-3\">https://doi.org/10.1007/s00220-003-0993-3</a>","mla":"Seiringer, Robert, et al. <i>One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps</i>. Edited by Jean Zambrini, World Scientific Publishing, 2006, doi:<a href=\"https://doi.org/10.1007/s00220-003-0993-3\">10.1007/s00220-003-0993-3</a>.","ista":"Seiringer R, Lieb É, Yngvason J. 2006. One-dimensional behavior of dilute, trapped Bose gases in traps. ICMP: International Congress on Mathematical Physics.","chicago":"Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps.” edited by Jean Zambrini. World Scientific Publishing, 2006. <a href=\"https://doi.org/10.1007/s00220-003-0993-3\">https://doi.org/10.1007/s00220-003-0993-3</a>.","ama":"Seiringer R, Lieb É, Yngvason J. One-dimensional behavior of dilute, trapped Bose gases in traps. In: Zambrini J, ed. World Scientific Publishing; 2006. doi:<a href=\"https://doi.org/10.1007/s00220-003-0993-3\">10.1007/s00220-003-0993-3</a>","short":"R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.","ieee":"R. Seiringer, É. Lieb, and J. Yngvason, “One-dimensional behavior of dilute, trapped Bose gases in traps,” presented at the ICMP: International Congress on Mathematical Physics, 2006."},"day":"07","oa":1,"extern":1,"author":[{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521"},{"first_name":"Élliott","full_name":"Lieb, Élliott H","last_name":"Lieb"},{"full_name":"Yngvason, Jakob","first_name":"Jakob","last_name":"Yngvason"}],"type":"conference","month":"03","publist_id":"4592","doi":"10.1007/s00220-003-0993-3","status":"public","_id":"2334","editor":[{"last_name":"Zambrini","full_name":"Zambrini, Jean-Claude","first_name":"Jean"}],"year":"2006","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0305025"}],"date_created":"2018-12-11T11:57:03Z","date_published":"2006-03-07T00:00:00Z","title":"One-dimensional behavior of dilute, trapped Bose gases in traps","quality_controlled":0,"conference":{"name":"ICMP: International Congress on Mathematical Physics"},"publisher":"World Scientific Publishing"},{"extern":1,"author":[{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"oa":1,"citation":{"ieee":"É. Lieb and R. Seiringer, “Derivation of the Gross-Pitaevskii equation for rotating Bose gases,” <i>Communications in Mathematical Physics</i>, vol. 264, no. 2. Springer, pp. 505–537, 2006.","chicago":"Lieb, Élliott, and Robert Seiringer. “Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases.” <i>Communications in Mathematical Physics</i>. Springer, 2006. <a href=\"https://doi.org/10.1007/s00220-006-1524-9\">https://doi.org/10.1007/s00220-006-1524-9</a>.","ama":"Lieb É, Seiringer R. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. <i>Communications in Mathematical Physics</i>. 2006;264(2):505-537. doi:<a href=\"https://doi.org/10.1007/s00220-006-1524-9\">10.1007/s00220-006-1524-9</a>","short":"É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.","mla":"Lieb, Élliott, and Robert Seiringer. “Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases.” <i>Communications in Mathematical Physics</i>, vol. 264, no. 2, Springer, 2006, pp. 505–37, doi:<a href=\"https://doi.org/10.1007/s00220-006-1524-9\">10.1007/s00220-006-1524-9</a>.","apa":"Lieb, É., &#38; Seiringer, R. (2006). Derivation of the Gross-Pitaevskii equation for rotating Bose gases. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-006-1524-9\">https://doi.org/10.1007/s00220-006-1524-9</a>","ista":"Lieb É, Seiringer R. 2006. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Communications in Mathematical Physics. 264(2), 505–537."},"day":"01","date_updated":"2020-07-14T12:45:40Z","publication_status":"published","month":"01","type":"review","doi":"10.1007/s00220-006-1524-9","abstract":[{"text":"     We prove that the Gross-Pitaevskii equation correctly describes the ground state energy and corresponding one-particle density matrix of rotating, dilute, trapped Bose gases with repulsive two-body interactions. We also show that there is 100% Bose-Einstein condensation. While a proof that the GP equation correctly describes non-rotating or slowly rotating gases was known for some time, the rapidly rotating case was unclear because the Bose (i.e., symmetric) ground state is not the lowest eigenstate of the Hamiltonian in this case. We have been able to overcome this difficulty with the aid of coherent states. Our proof also conceptually simplifies the previous proof for the slowly rotating case. In the case of axially symmetric traps, our results show that the appearance of quantized vortices causes spontaneous symmetry breaking in the ground state. ","lang":"eng"}],"publist_id":"4561","issue":"2","_id":"2363","status":"public","volume":264,"publication":"Communications in Mathematical Physics","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0504042"}],"year":"2006","page":"505 - 537","date_created":"2018-12-11T11:57:13Z","intvolume":"       264","quality_controlled":0,"date_published":"2006-01-01T00:00:00Z","title":"Derivation of the Gross-Pitaevskii equation for rotating Bose gases","publisher":"Springer"},{"month":"04","type":"journal_article","publication_status":"published","date_updated":"2021-01-12T06:57:02Z","oa":1,"extern":1,"author":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"day":"01","citation":{"ista":"Seiringer R. 2006. A correlation estimate for quantum many-body systems at positive temperature. Reviews in Mathematical Physics. 18(3), 233–253.","mla":"Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature.” <i>Reviews in Mathematical Physics</i>, vol. 18, no. 3, World Scientific Publishing, 2006, pp. 233–53, doi:<a href=\"https://doi.org/10.1142/S0129055X06002632\">10.1142/S0129055X06002632</a>.","apa":"Seiringer, R. (2006). A correlation estimate for quantum many-body systems at positive temperature. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X06002632\">https://doi.org/10.1142/S0129055X06002632</a>","ieee":"R. Seiringer, “A correlation estimate for quantum many-body systems at positive temperature,” <i>Reviews in Mathematical Physics</i>, vol. 18, no. 3. World Scientific Publishing, pp. 233–253, 2006.","ama":"Seiringer R. A correlation estimate for quantum many-body systems at positive temperature. <i>Reviews in Mathematical Physics</i>. 2006;18(3):233-253. doi:<a href=\"https://doi.org/10.1142/S0129055X06002632\">10.1142/S0129055X06002632</a>","short":"R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.","chicago":"Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2006. <a href=\"https://doi.org/10.1142/S0129055X06002632\">https://doi.org/10.1142/S0129055X06002632</a>."},"_id":"2364","status":"public","issue":"3","publist_id":"4562","abstract":[{"text":"We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of non-interacting systems and the difference in the free energy. This bound can be viewed as a rigorous version of first-order perturbation theory for many-body systems at positive temperature. As an application, we give a proof of the first two terms in a high density (and high temperature) expansion of the free energy of jellium with Coulomb interactions, both in the fermionic and bosonic case. For bosons, our method works above the transition temperature (for the non-interacting gas) for Bose-Einstein condensation.","lang":"eng"}],"doi":"10.1142/S0129055X06002632","intvolume":"        18","date_created":"2018-12-11T11:57:14Z","page":"233 - 253","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0601051"}],"year":"2006","volume":18,"publication":"Reviews in Mathematical Physics","publisher":"World Scientific Publishing","date_published":"2006-04-01T00:00:00Z","title":"A correlation estimate for quantum many-body systems at positive temperature","quality_controlled":0},{"type":"journal_article","month":"02","date_updated":"2021-01-12T06:57:02Z","publication_status":"published","citation":{"mla":"Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” <i>Communications in Mathematical Physics</i>, vol. 261, no. 3, Springer, 2006, pp. 729–57, doi:<a href=\"https://doi.org/10.1007/s00220-005-1433-3\">10.1007/s00220-005-1433-3</a>.","apa":"Seiringer, R. (2006). The thermodynamic pressure of a dilute fermi gas. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-005-1433-3\">https://doi.org/10.1007/s00220-005-1433-3</a>","ista":"Seiringer R. 2006. The thermodynamic pressure of a dilute fermi gas. Communications in Mathematical Physics. 261(3), 729–757.","ieee":"R. Seiringer, “The thermodynamic pressure of a dilute fermi gas,” <i>Communications in Mathematical Physics</i>, vol. 261, no. 3. Springer, pp. 729–757, 2006.","chicago":"Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” <i>Communications in Mathematical Physics</i>. Springer, 2006. <a href=\"https://doi.org/10.1007/s00220-005-1433-3\">https://doi.org/10.1007/s00220-005-1433-3</a>.","short":"R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.","ama":"Seiringer R. The thermodynamic pressure of a dilute fermi gas. <i>Communications in Mathematical Physics</i>. 2006;261(3):729-757. doi:<a href=\"https://doi.org/10.1007/s00220-005-1433-3\">10.1007/s00220-005-1433-3</a>"},"day":"01","oa":1,"extern":1,"author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"status":"public","_id":"2365","issue":"3","publist_id":"4563","abstract":[{"text":"We consider a gas of fermions with non-zero spin at temperature T and chemical potential μ. We show that if the range of the interparticle interaction is small compared to the mean particle distance, the thermodynamic pressure differs to leading order from the corresponding expression for non-interacting particles by a term proportional to the scattering length of the interparticle interaction. This is true for any repulsive interaction, including hard cores. The result is uniform in the temperature as long as T is of the same order as the Fermi temperature, or smaller.","lang":"eng"}],"doi":"10.1007/s00220-005-1433-3","date_created":"2018-12-11T11:57:14Z","intvolume":"       261","page":"729 - 757","year":"2006","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0412086"}],"publication":"Communications in Mathematical Physics","volume":261,"publisher":"Springer","date_published":"2006-02-01T00:00:00Z","title":"The thermodynamic pressure of a dilute fermi gas","quality_controlled":0},{"type":"journal_article","month":"09","day":"01","citation":{"ista":"Frank R, Laptev A, Lieb É, Seiringer R. 2006. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Letters in Mathematical Physics. 77(3), 309–316.","apa":"Frank, R., Laptev, A., Lieb, É., &#38; Seiringer, R. (2006). Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-006-0095-1\">https://doi.org/10.1007/s11005-006-0095-1</a>","mla":"Frank, Rupert, et al. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” <i>Letters in Mathematical Physics</i>, vol. 77, no. 3, Springer, 2006, pp. 309–16, doi:<a href=\"https://doi.org/10.1007/s11005-006-0095-1\">10.1007/s11005-006-0095-1</a>.","ieee":"R. Frank, A. Laptev, É. Lieb, and R. Seiringer, “Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials,” <i>Letters in Mathematical Physics</i>, vol. 77, no. 3. Springer, pp. 309–316, 2006.","ama":"Frank R, Laptev A, Lieb É, Seiringer R. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. <i>Letters in Mathematical Physics</i>. 2006;77(3):309-316. doi:<a href=\"https://doi.org/10.1007/s11005-006-0095-1\">10.1007/s11005-006-0095-1</a>","short":"R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.","chicago":"Frank, Rupert, Ari Laptev, Élliott Lieb, and Robert Seiringer. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” <i>Letters in Mathematical Physics</i>. Springer, 2006. <a href=\"https://doi.org/10.1007/s11005-006-0095-1\">https://doi.org/10.1007/s11005-006-0095-1</a>."},"extern":1,"author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"last_name":"Laptev","first_name":"Ari","full_name":"Laptev, Ari"},{"first_name":"Élliott","full_name":"Lieb, Élliott H","last_name":"Lieb"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer"}],"oa":1,"date_updated":"2021-01-12T06:57:03Z","publication_status":"published","status":"public","_id":"2366","abstract":[{"text":"Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.","lang":"eng"}],"doi":"10.1007/s11005-006-0095-1","publist_id":"4560","issue":"3","page":"309 - 316","date_created":"2018-12-11T11:57:15Z","intvolume":"        77","publication":"Letters in Mathematical Physics","volume":77,"year":"2006","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0605017"}],"publisher":"Springer","quality_controlled":0,"date_published":"2006-09-01T00:00:00Z","title":"Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials"},{"publisher":"Springer","quality_controlled":0,"date_published":"2006-01-01T00:00:00Z","title":"Dilute, trapped Bose gases and Bose-Einstein condensation","page":"249 - 274","date_created":"2018-12-11T11:57:15Z","intvolume":"       695","publication":"Large Coulomb Systems","volume":695,"year":"2006","editor":[{"full_name":"Dereziński, Jan","first_name":"Jan","last_name":"Dereziński"},{"full_name":"Siedentop, Heinz","first_name":"Heinz","last_name":"Siedentop"}],"status":"public","_id":"2368","doi":"10.1007/3-540-32579-4_6","publist_id":"4558","abstract":[{"lang":"eng","text":"The recent experimental success in creating Bose-Einstein condensates of alkali atoms, honored by the Nobel prize awards in 2001 [1,5], led to renewed interest in the mathematical description of interacting Bose gases."}],"type":"book_chapter","month":"01","alternative_title":["LNP"],"citation":{"short":"R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.","ama":"Seiringer R. Dilute, trapped Bose gases and Bose-Einstein condensation. In: Dereziński J, Siedentop H, eds. <i>Large Coulomb Systems</i>. Vol 695. Springer; 2006:249-274. doi:<a href=\"https://doi.org/10.1007/3-540-32579-4_6\">10.1007/3-540-32579-4_6</a>","chicago":"Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” In <i>Large Coulomb Systems</i>, edited by Jan Dereziński and Heinz Siedentop, 695:249–74. Springer, 2006. <a href=\"https://doi.org/10.1007/3-540-32579-4_6\">https://doi.org/10.1007/3-540-32579-4_6</a>.","ieee":"R. Seiringer, “Dilute, trapped Bose gases and Bose-Einstein condensation,” in <i>Large Coulomb Systems</i>, vol. 695, J. Dereziński and H. Siedentop, Eds. Springer, 2006, pp. 249–274.","ista":"Seiringer R. 2006.Dilute, trapped Bose gases and Bose-Einstein condensation. In: Large Coulomb Systems. LNP, vol. 695, 249–274.","mla":"Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” <i>Large Coulomb Systems</i>, edited by Jan Dereziński and Heinz Siedentop, vol. 695, Springer, 2006, pp. 249–74, doi:<a href=\"https://doi.org/10.1007/3-540-32579-4_6\">10.1007/3-540-32579-4_6</a>.","apa":"Seiringer, R. (2006). Dilute, trapped Bose gases and Bose-Einstein condensation. In J. Dereziński &#38; H. Siedentop (Eds.), <i>Large Coulomb Systems</i> (Vol. 695, pp. 249–274). Springer. <a href=\"https://doi.org/10.1007/3-540-32579-4_6\">https://doi.org/10.1007/3-540-32579-4_6</a>"},"day":"01","extern":1,"author":[{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication_status":"published","date_updated":"2021-01-12T06:57:03Z"},{"page":"199 - 215","intvolume":"       690","date_created":"2018-12-11T11:57:16Z","volume":690,"publication":"Mathematical Physics of Quantum Mechanics","main_file_link":[{"url":"http://arxiv.org/abs/cond-mat/0412034","open_access":"1"}],"year":"2006","publisher":"Springer","quality_controlled":0,"date_published":"2006-01-01T00:00:00Z","title":"Bose-Einstein condensation as a quantum phase transition in an optical lattice","month":"01","type":"book_chapter","alternative_title":["LNP"],"extern":1,"author":[{"last_name":"Aizenman","first_name":"Michael","full_name":"Aizenman, Michael"},{"last_name":"Lieb","full_name":"Lieb, Élliott H","first_name":"Élliott"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"}],"oa":1,"day":"01","citation":{"mla":"Aizenman, Michael, et al. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” <i>Mathematical Physics of Quantum Mechanics</i>, edited by Joachim Asch and Alain Joye, vol. 690, Springer, 2006, pp. 199–215, doi:<a href=\"https://doi.org/10.1007/b11573432\">10.1007/b11573432</a>.","apa":"Aizenman, M., Lieb, É., Seiringer, R., Solovej, J., &#38; Yngvason, J. (2006). Bose-Einstein condensation as a quantum phase transition in an optical lattice. In J. Asch &#38; A. Joye (Eds.), <i>Mathematical Physics of Quantum Mechanics</i> (Vol. 690, pp. 199–215). Springer. <a href=\"https://doi.org/10.1007/b11573432\">https://doi.org/10.1007/b11573432</a>","ista":"Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2006.Bose-Einstein condensation as a quantum phase transition in an optical lattice. In: Mathematical Physics of Quantum Mechanics. LNP, vol. 690, 199–215.","chicago":"Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” In <i>Mathematical Physics of Quantum Mechanics</i>, edited by Joachim Asch and Alain Joye, 690:199–215. Springer, 2006. <a href=\"https://doi.org/10.1007/b11573432\">https://doi.org/10.1007/b11573432</a>.","ama":"Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. Bose-Einstein condensation as a quantum phase transition in an optical lattice. In: Asch J, Joye A, eds. <i>Mathematical Physics of Quantum Mechanics</i>. Vol 690. Springer; 2006:199-215. doi:<a href=\"https://doi.org/10.1007/b11573432\">10.1007/b11573432</a>","short":"M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.","ieee":"M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “Bose-Einstein condensation as a quantum phase transition in an optical lattice,” in <i>Mathematical Physics of Quantum Mechanics</i>, vol. 690, J. Asch and A. Joye, Eds. Springer, 2006, pp. 199–215."},"date_updated":"2021-01-12T06:57:04Z","publication_status":"published","editor":[{"last_name":"Asch","first_name":"Joachim","full_name":"Asch, Joachim"},{"first_name":"Alain","full_name":"Joye, Alain","last_name":"Joye"}],"_id":"2369","status":"public","doi":"10.1007/b11573432","abstract":[{"text":"One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical trapping potential is varied. In [1] a model of this phenomenon has been analyzed rigorously. The gas is a hard core lattice gas and the optical lattice is modeled by a periodic potential of strength λ. For small λ and temperature Bose- Einstein condensation (BEC) is proved to occur, while at large λ BEC disappears, even in the ground state, which is a Mott-insulator state with a characteristic gap. The inter-particle interaction is essential for this effect. This contribution gives a pedagogical survey of these results.","lang":"eng"}],"publist_id":"4559"},{"publisher":"Springer","date_published":"2006-01-01T00:00:00Z","title":"On six problems posed by Jarik Nešetřil","quality_controlled":0,"intvolume":"        26","date_created":"2018-12-11T11:57:32Z","page":"613 - 627","year":"2006","publication":"Topics in Discrete Mathematics","volume":26,"status":"public","_id":"2416","publist_id":"4509","doi":"10.1007/3-540-33700-8_30","alternative_title":["Algorithms and Combinatorics"],"type":"book_chapter","month":"01","date_updated":"2021-01-12T06:57:21Z","publication_status":"published","day":"01","citation":{"ista":"Bang Jensen J, Reed B, Schacht B, Šámal R, Toft B, Wagner U. 2006.On six problems posed by Jarik Nešetřil. In: Topics in Discrete Mathematics. Algorithms and Combinatorics, vol. 26, 613–627.","apa":"Bang Jensen, J., Reed, B., Schacht, B., Šámal, R., Toft, B., &#38; Wagner, U. (2006). On six problems posed by Jarik Nešetřil. In <i>Topics in Discrete Mathematics</i> (Vol. 26, pp. 613–627). Springer. <a href=\"https://doi.org/10.1007/3-540-33700-8_30\">https://doi.org/10.1007/3-540-33700-8_30</a>","mla":"Bang Jensen, Jørgen, et al. “On Six Problems Posed by Jarik Nešetřil.” <i>Topics in Discrete Mathematics</i>, vol. 26, Springer, 2006, pp. 613–27, doi:<a href=\"https://doi.org/10.1007/3-540-33700-8_30\">10.1007/3-540-33700-8_30</a>.","ieee":"J. Bang Jensen, B. Reed, B. Schacht, R. Šámal, B. Toft, and U. Wagner, “On six problems posed by Jarik Nešetřil,” in <i>Topics in Discrete Mathematics</i>, vol. 26, Springer, 2006, pp. 613–627.","ama":"Bang Jensen J, Reed B, Schacht B, Šámal R, Toft B, Wagner U. On six problems posed by Jarik Nešetřil. In: <i>Topics in Discrete Mathematics</i>. Vol 26. Springer; 2006:613-627. doi:<a href=\"https://doi.org/10.1007/3-540-33700-8_30\">10.1007/3-540-33700-8_30</a>","short":"J. Bang Jensen, B. Reed, B. Schacht, R. Šámal, B. Toft, U. Wagner, in:, Topics in Discrete Mathematics, Springer, 2006, pp. 613–627.","chicago":"Bang Jensen, Jørgen, Bruce Reed, Bruce Schacht, Robert Šámal, Bjarne Toft, and Uli Wagner. “On Six Problems Posed by Jarik Nešetřil.” In <i>Topics in Discrete Mathematics</i>, 26:613–27. Springer, 2006. <a href=\"https://doi.org/10.1007/3-540-33700-8_30\">https://doi.org/10.1007/3-540-33700-8_30</a>."},"extern":1,"author":[{"last_name":"Bang Jensen","first_name":"Jørgen","full_name":"Bang-Jensen, Jørgen"},{"first_name":"Bruce","full_name":"Reed, Bruce","last_name":"Reed"},{"last_name":"Schacht","full_name":"Schacht, Bruce","first_name":"Bruce"},{"full_name":"Šámal, Robert","first_name":"Robert","last_name":"Šámal"},{"full_name":"Toft, Bjarne","first_name":"Bjarne","last_name":"Toft"},{"last_name":"Wagner","orcid":"0000-0002-1494-0568","first_name":"Uli","full_name":"Uli Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}]},{"_id":"2429","status":"public","issue":"2","abstract":[{"text":"We show, with an elementary proof, that the number of halving simplices in a set of n points in 4 in general position is O(n4-2/45). This improves the previous bound of O(n4-1/134). Our main new ingredient is a bound on the maximum number of halving simplices intersecting a fixed 2-plane. ","lang":"eng"}],"doi":"10.1007/s00454-005-1200-4","publist_id":"4495","month":"02","type":"journal_article","date_updated":"2021-01-12T06:57:26Z","publication_status":"published","extern":1,"author":[{"last_name":"Matoušek","first_name":"Jiří","full_name":"Matoušek, Jiří"},{"last_name":"Sharir","full_name":"Sharir, Micha","first_name":"Micha"},{"full_name":"Smorodinsky, Shakhar","first_name":"Shakhar","last_name":"Smorodinsky"},{"full_name":"Uli Wagner","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","last_name":"Wagner"}],"citation":{"ista":"Matoušek J, Sharir M, Smorodinsky S, Wagner U. 2006. K-sets in four dimensions. Discrete &#38; Computational Geometry. 35(2), 177–191.","mla":"Matoušek, Jiří, et al. “K-Sets in Four Dimensions.” <i>Discrete &#38; Computational Geometry</i>, vol. 35, no. 2, Springer, 2006, pp. 177–91, doi:<a href=\"https://doi.org/10.1007/s00454-005-1200-4\">10.1007/s00454-005-1200-4</a>.","apa":"Matoušek, J., Sharir, M., Smorodinsky, S., &#38; Wagner, U. (2006). K-sets in four dimensions. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s00454-005-1200-4\">https://doi.org/10.1007/s00454-005-1200-4</a>","ieee":"J. Matoušek, M. Sharir, S. Smorodinsky, and U. Wagner, “K-sets in four dimensions,” <i>Discrete &#38; Computational Geometry</i>, vol. 35, no. 2. Springer, pp. 177–191, 2006.","ama":"Matoušek J, Sharir M, Smorodinsky S, Wagner U. K-sets in four dimensions. <i>Discrete &#38; Computational Geometry</i>. 2006;35(2):177-191. doi:<a href=\"https://doi.org/10.1007/s00454-005-1200-4\">10.1007/s00454-005-1200-4</a>","short":"J. Matoušek, M. Sharir, S. Smorodinsky, U. Wagner, Discrete &#38; Computational Geometry 35 (2006) 177–191.","chicago":"Matoušek, Jiří, Micha Sharir, Shakhar Smorodinsky, and Uli Wagner. “K-Sets in Four Dimensions.” <i>Discrete &#38; Computational Geometry</i>. Springer, 2006. <a href=\"https://doi.org/10.1007/s00454-005-1200-4\">https://doi.org/10.1007/s00454-005-1200-4</a>."},"day":"01","publisher":"Springer","date_published":"2006-02-01T00:00:00Z","title":"K-sets in four dimensions","quality_controlled":0,"intvolume":"        35","date_created":"2018-12-11T11:57:37Z","page":"177 - 191","year":"2006","volume":35,"publication":"Discrete & Computational Geometry"},{"status":"public","_id":"2430","publist_id":"4490","abstract":[{"lang":"eng","text":"We consider an online version of the conflict-free coloring of a set of points on the line, where each newly inserted point must be assigned a color upon insertion, and at all times the coloring has to be conflict-free, in the sense that in every interval I there is a color that appears exactly once in I. We present deterministic and randomized algorithms for achieving this goal, and analyze their performance, that is, the maximum number of colors that they need to use, as a function of the number n of inserted points. We first show that a natural and simple (deterministic) approach may perform rather poorly, requiring Ω(√̃) colors in the worst case. We then derive two efficient variants of this simple algorithm. The first is deterministic and uses O(log 2 n) colors, and the second is randomized and uses O(log n) colors with high probability. We also show that the O(log 2 n) bound on the number of colors used by our deterministic algorithm is tight on the worst case. We also analyze the performance of the simplest proposed algorithm when the points are inserted in a random order and present an incomplete analysis that indicates that, with high probability, it uses only O(log n) colors. Finally, we show that in the extension of this problem to two dimensions, where the relevant ranges are disks, n colors may be required in the worst case."}],"doi":"10.1137/S0097539704446682","issue":"5","type":"journal_article","month":"01","day":"01","citation":{"ieee":"K. Chent <i>et al.</i>, “Online conflict-free coloring for intervals,” <i>SIAM Journal on Computing</i>, vol. 36, no. 5. SIAM, pp. 1342–1359, 2006.","chicago":"Chent, Ke, Amos Fiat, Haim Kaplan, Meital Levy, Jiří Matoušek, Elchanan Mossel, János Pach, et al. “Online Conflict-Free Coloring for Intervals.” <i>SIAM Journal on Computing</i>. SIAM, 2006. <a href=\"https://doi.org/10.1137/S0097539704446682\">https://doi.org/10.1137/S0097539704446682</a>.","short":"K. Chent, A. Fiat, H. Kaplan, M. Levy, J. Matoušek, E. Mossel, J. Pach, M. Sharir, S. Smorodinsky, U. Wagner, E. Welzl, SIAM Journal on Computing 36 (2006) 1342–1359.","ama":"Chent K, Fiat A, Kaplan H, et al. Online conflict-free coloring for intervals. <i>SIAM Journal on Computing</i>. 2006;36(5):1342-1359. doi:<a href=\"https://doi.org/10.1137/S0097539704446682\">10.1137/S0097539704446682</a>","apa":"Chent, K., Fiat, A., Kaplan, H., Levy, M., Matoušek, J., Mossel, E., … Welzl, E. (2006). Online conflict-free coloring for intervals. <i>SIAM Journal on Computing</i>. SIAM. <a href=\"https://doi.org/10.1137/S0097539704446682\">https://doi.org/10.1137/S0097539704446682</a>","mla":"Chent, Ke, et al. “Online Conflict-Free Coloring for Intervals.” <i>SIAM Journal on Computing</i>, vol. 36, no. 5, SIAM, 2006, pp. 1342–59, doi:<a href=\"https://doi.org/10.1137/S0097539704446682\">10.1137/S0097539704446682</a>.","ista":"Chent K, Fiat A, Kaplan H, Levy M, Matoušek J, Mossel E, Pach J, Sharir M, Smorodinsky S, Wagner U, Welzl E. 2006. Online conflict-free coloring for intervals. SIAM Journal on Computing. 36(5), 1342–1359."},"author":[{"first_name":"Ke","full_name":"Chent, Ke","last_name":"Chent"},{"last_name":"Fiat","first_name":"Amos","full_name":"Fiat, Amos"},{"last_name":"Kaplan","full_name":"Kaplan, Haim","first_name":"Haim"},{"last_name":"Levy","full_name":"Levy, Meital B","first_name":"Meital"},{"full_name":"Matoušek, Jiří","first_name":"Jiří","last_name":"Matoušek"},{"last_name":"Mossel","full_name":"Mossel, Elchanan","first_name":"Elchanan"},{"last_name":"Pach","first_name":"János","full_name":"Pach, János"},{"last_name":"Sharir","first_name":"Micha","full_name":"Sharir, Micha"},{"full_name":"Smorodinsky, Shakhar","first_name":"Shakhar","last_name":"Smorodinsky"},{"last_name":"Wagner","orcid":"0000-0002-1494-0568","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","first_name":"Uli","full_name":"Uli Wagner"},{"full_name":"Welzl, Emo","first_name":"Emo","last_name":"Welzl"}],"extern":1,"date_updated":"2021-01-12T06:57:26Z","publication_status":"published","publisher":"SIAM","quality_controlled":0,"title":"Online conflict-free coloring for intervals","date_published":"2006-01-01T00:00:00Z","page":"1342 - 1359","intvolume":"        36","date_created":"2018-12-11T11:57:37Z","publication":"SIAM Journal on Computing","volume":36,"year":"2006"},{"publist_id":"4489","doi":"10.1109/FOCS.2006.53","abstract":[{"lang":"eng","text":"We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most t in an arrangement of n halfspaces in R , for arbitrary n and d (in particular, the dimension d is not considered constant). This partially settles a conjecture of Eckhoff, Linhart, and Welzl. Up to the factor of 2, the result generalizes McMullen's Upper Bound Theorem for convex polytopes (the case ℓ = O) and extends a theorem of Linhart for the case d ≤ 4. Moreover, the bound sharpens asymptotic estimates obtained by Clarkson and Shor. The proof is based on the h-matrix of the arrangement (a generalization, introduced by Mulmuley, of the h-vector of a convex polytope). We show that bounding appropriate sums of entries of this matrix reduces to a lemma about quadrupels of sets with certain intersection properties, and we prove this lemma, up to a factor of 2, using tools from multilinear algebra. This extends an approach of Alon and Kalai, who used linear algebra methods for an alternative proof of the classical Upper Bound Theorem. The bounds for the entries of the h-matrix also imply bounds for the number of i-dimensional faces, i &gt; 0, at level at most ℓ. Furthermore, we discuss a connection with crossing numbers of graphs that was one of the main motivations for investigating exact bounds that are valid for arbitrary dimensions."}],"_id":"2431","status":"public","extern":1,"author":[{"first_name":"Uli","full_name":"Uli Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1494-0568","last_name":"Wagner"}],"citation":{"mla":"Wagner, Uli. <i>On a Geometric Generalization of the Upper Bound Theorem</i>. IEEE, 2006, pp. 635–45, doi:<a href=\"https://doi.org/10.1109/FOCS.2006.53\">10.1109/FOCS.2006.53</a>.","apa":"Wagner, U. (2006). On a geometric generalization of the Upper Bound Theorem (pp. 635–645). Presented at the FOCS: Foundations of Computer Science, IEEE. <a href=\"https://doi.org/10.1109/FOCS.2006.53\">https://doi.org/10.1109/FOCS.2006.53</a>","ista":"Wagner U. 2006. On a geometric generalization of the Upper Bound Theorem. FOCS: Foundations of Computer Science, IEEE Conference Proceedings, , 635–645.","chicago":"Wagner, Uli. “On a Geometric Generalization of the Upper Bound Theorem,” 635–45. IEEE, 2006. <a href=\"https://doi.org/10.1109/FOCS.2006.53\">https://doi.org/10.1109/FOCS.2006.53</a>.","ama":"Wagner U. On a geometric generalization of the Upper Bound Theorem. In: IEEE; 2006:635-645. doi:<a href=\"https://doi.org/10.1109/FOCS.2006.53\">10.1109/FOCS.2006.53</a>","short":"U. Wagner, in:, IEEE, 2006, pp. 635–645.","ieee":"U. Wagner, “On a geometric generalization of the Upper Bound Theorem,” presented at the FOCS: Foundations of Computer Science, 2006, pp. 635–645."},"day":"08","date_updated":"2021-01-12T06:57:27Z","publication_status":"published","month":"06","type":"conference","alternative_title":["IEEE Conference Proceedings"],"quality_controlled":0,"date_published":"2006-06-08T00:00:00Z","title":"On a geometric generalization of the Upper Bound Theorem","publisher":"IEEE","conference":{"name":"FOCS: Foundations of Computer Science"},"year":"2006","page":"635 - 645","date_created":"2018-12-11T11:57:37Z"},{"page":"963-968","intvolume":"         3","date_created":"2020-01-15T12:22:44Z","volume":3,"article_processing_charge":"No","language":[{"iso":"eng"}],"publication":"ECS Transactions","year":"2006","publisher":"ECS","conference":{"name":"ECS Meeting","end_date":"2006-11-03","start_date":"2006-10-29","location":"Cancun, Mexico"},"quality_controlled":"1","title":"What is learned beyond the scale of single cells?","date_published":"2006-11-03T00:00:00Z","month":"11","type":"conference","extern":"1","author":[{"first_name":"Felix N.","full_name":"Büchi, Felix N.","last_name":"Büchi"},{"last_name":"Freunberger","orcid":"0000-0003-2902-5319","full_name":"Freunberger, Stefan Alexander","first_name":"Stefan Alexander","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425"},{"last_name":"Santis","full_name":"Santis, Marco","first_name":"Marco"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Büchi, Felix N., et al. “What Is Learned beyond the Scale of Single Cells?” <i>ECS Transactions</i>, vol. 3, no. 1, ECS, 2006, pp. 963–68, doi:<a href=\"https://doi.org/10.1149/1.2356215\">10.1149/1.2356215</a>.","apa":"Büchi, F. N., Freunberger, S. A., &#38; Santis, M. (2006). What is learned beyond the scale of single cells? In <i>ECS Transactions</i> (Vol. 3, pp. 963–968). Cancun, Mexico: ECS. <a href=\"https://doi.org/10.1149/1.2356215\">https://doi.org/10.1149/1.2356215</a>","ista":"Büchi FN, Freunberger SA, Santis M. 2006. What is learned beyond the scale of single cells? ECS Transactions. ECS Meeting vol. 3, 963–968.","ieee":"F. N. Büchi, S. A. Freunberger, and M. Santis, “What is learned beyond the scale of single cells?,” in <i>ECS Transactions</i>, Cancun, Mexico, 2006, vol. 3, no. 1, pp. 963–968.","chicago":"Büchi, Felix N., Stefan Alexander Freunberger, and Marco Santis. “What Is Learned beyond the Scale of Single Cells?” In <i>ECS Transactions</i>, 3:963–68. ECS, 2006. <a href=\"https://doi.org/10.1149/1.2356215\">https://doi.org/10.1149/1.2356215</a>.","short":"F.N. Büchi, S.A. Freunberger, M. Santis, in:, ECS Transactions, ECS, 2006, pp. 963–968.","ama":"Büchi FN, Freunberger SA, Santis M. What is learned beyond the scale of single cells? In: <i>ECS Transactions</i>. Vol 3. ECS; 2006:963-968. doi:<a href=\"https://doi.org/10.1149/1.2356215\">10.1149/1.2356215</a>"},"day":"03","oa_version":"None","publication_status":"published","date_updated":"2021-01-12T08:13:05Z","_id":"7326","status":"public","abstract":[{"lang":"eng","text":"Often the properties of a single cell are considered as representative for a complete polymer electrolyte fuel cell stack or even a fuel cell system. In some cases this comes close, however, in many real cases differences on several scales become important. Cell interaction phenomena in fuel cell stacks that arise from inequalities between adjacent cells are investigated in detail experimentally. For that, a specialized 2-cell stack with advanced localized diagnostics was developed. The results show that inequalities propagate by electrical coupling, inhomogeneous cell polarization and inducing in-plane current in the common bipolar plate. The effects of the different loss-mechanisms are analyzed and quantified. "}],"doi":"10.1149/1.2356215","issue":"1"},{"publication_status":"published","date_updated":"2021-01-12T08:13:06Z","oa_version":"None","extern":"1","author":[{"last_name":"Santis","first_name":"Marco","full_name":"Santis, Marco"},{"orcid":"0000-0003-2902-5319","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","first_name":"Stefan Alexander","full_name":"Freunberger, Stefan Alexander","last_name":"Freunberger"},{"last_name":"Papra","full_name":"Papra, Matthias","first_name":"Matthias"},{"first_name":"Alexander","full_name":"Wokaun, Alexander","last_name":"Wokaun"},{"last_name":"Büchi","full_name":"Büchi, Felix N.","first_name":"Felix N."}],"citation":{"ista":"Santis M, Freunberger SA, Papra M, Wokaun A, Büchi FN. 2006. Experimental investigation of coupling phenomena in polymer electrolyte fuel cell stacks. Journal of Power Sources. 161(2), 1076–1083.","mla":"Santis, Marco, et al. “Experimental Investigation of Coupling Phenomena in Polymer Electrolyte Fuel Cell Stacks.” <i>Journal of Power Sources</i>, vol. 161, no. 2, Elsevier, 2006, pp. 1076–83, doi:<a href=\"https://doi.org/10.1016/j.jpowsour.2006.06.007\">10.1016/j.jpowsour.2006.06.007</a>.","apa":"Santis, M., Freunberger, S. A., Papra, M., Wokaun, A., &#38; Büchi, F. N. (2006). Experimental investigation of coupling phenomena in polymer electrolyte fuel cell stacks. <i>Journal of Power Sources</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jpowsour.2006.06.007\">https://doi.org/10.1016/j.jpowsour.2006.06.007</a>","ama":"Santis M, Freunberger SA, Papra M, Wokaun A, Büchi FN. Experimental investigation of coupling phenomena in polymer electrolyte fuel cell stacks. <i>Journal of Power Sources</i>. 2006;161(2):1076-1083. doi:<a href=\"https://doi.org/10.1016/j.jpowsour.2006.06.007\">10.1016/j.jpowsour.2006.06.007</a>","short":"M. Santis, S.A. Freunberger, M. Papra, A. Wokaun, F.N. Büchi, Journal of Power Sources 161 (2006) 1076–1083.","chicago":"Santis, Marco, Stefan Alexander Freunberger, Matthias Papra, Alexander Wokaun, and Felix N. Büchi. “Experimental Investigation of Coupling Phenomena in Polymer Electrolyte Fuel Cell Stacks.” <i>Journal of Power Sources</i>. Elsevier, 2006. <a href=\"https://doi.org/10.1016/j.jpowsour.2006.06.007\">https://doi.org/10.1016/j.jpowsour.2006.06.007</a>.","ieee":"M. Santis, S. A. Freunberger, M. Papra, A. Wokaun, and F. N. Büchi, “Experimental investigation of coupling phenomena in polymer electrolyte fuel cell stacks,” <i>Journal of Power Sources</i>, vol. 161, no. 2. Elsevier, pp. 1076–1083, 2006."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","day":"27","month":"10","type":"journal_article","issue":"2","doi":"10.1016/j.jpowsour.2006.06.007","abstract":[{"lang":"eng","text":"Propagation of performance changes to adjacent cells in polymer electrolyte fuel cell stacks is studied by means of voltage monitoring and local current density measurements in peripheral cells of the stack. A technical fuel cell stack has been modified by implementing two independent reactant and coolant supplies in order to deliberately change the performance of one cell (anomalous cell) and study the coupling phenomena to adjacent cells (coupling cells), while keeping the working conditions of the later cell-group unaltered.\r\nTwo anomalies are studied: (i) air starvation and (ii) thermal anomaly, in a single anomalous cell in the stack and their coupling to adjacent cells. The results have shown that anomalies inducing considerable changes in the local current density of the anomalous cell (such as air starvation) propagate to adjacent cells affecting their performance. The propagation of local current density changes takes place via the common bipolar plate due to its finite thickness and in-plane conductivity. Consequently, anomalies which do not strongly influence the local current density distribution (such as a thermal anomaly under the studied working conditions) do not propagate to adjacent cells."}],"_id":"7327","status":"public","publication_identifier":{"issn":["0378-7753"]},"year":"2006","article_processing_charge":"No","language":[{"iso":"eng"}],"volume":161,"publication":"Journal of Power Sources","intvolume":"       161","date_created":"2020-01-15T12:22:56Z","page":"1076-1083","article_type":"original","title":"Experimental investigation of coupling phenomena in polymer electrolyte fuel cell stacks","date_published":"2006-10-27T00:00:00Z","publisher":"Elsevier"},{"quality_controlled":"1","title":"Measuring the current distribution in PEFCs with sub-millimeter resolution","date_published":"2006-09-20T00:00:00Z","publisher":"The Electrochemical Society","publication":"Journal of The Electrochemical Society","volume":153,"article_processing_charge":"No","language":[{"iso":"eng"}],"year":"2006","article_type":"original","article_number":"A2158","date_created":"2020-01-15T12:23:12Z","intvolume":"       153","abstract":[{"lang":"eng","text":"An experimental technique for measuring the current density distribution with a resolution smaller than the channel/rib scale of the flow field in polymer electrolyte fuel cells (PEFCs) is presented. The electron conductors in a plane perpendicular to the channel direction are considered as two-dimensional resistors. Hence, the current density is obtained from the solution of Laplace's equation with the potentials at current collector and reaction layer as boundary conditions. Using ohmic drop for calculating the local current, detailed knowledge of all resistances involved is of prime importance. In particular, the contact resistance between the gas diffusion layer (GDL) and flow field rib, as well as GDL bulk conductivity, are strongly dependent on clamping pressure. They represent a substantial amount of the total ohmic drop and therefore require careful consideration. The detailed experimental setup as well as the concise procedure for quantitative data evaluation is described. Finally, the method is applied successfully to a cell operated on pure oxygen and air up to high current densities. The results show that electrical and ionic resistances seem to govern the current distribution at low current regimes, whereas mass transport limitations locally hamper the current production at high loads."}],"doi":"10.1149/1.2345591","issue":"11","publication_identifier":{"issn":["0013-4651"]},"status":"public","_id":"7328","day":"20","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Freunberger SA, Reum M, Evertz J, Wokaun A, Büchi FN. 2006. Measuring the current distribution in PEFCs with sub-millimeter resolution. Journal of The Electrochemical Society. 153(11), A2158.","mla":"Freunberger, Stefan Alexander, et al. “Measuring the Current Distribution in PEFCs with Sub-Millimeter Resolution.” <i>Journal of The Electrochemical Society</i>, vol. 153, no. 11, A2158, The Electrochemical Society, 2006, doi:<a href=\"https://doi.org/10.1149/1.2345591\">10.1149/1.2345591</a>.","apa":"Freunberger, S. A., Reum, M., Evertz, J., Wokaun, A., &#38; Büchi, F. N. (2006). Measuring the current distribution in PEFCs with sub-millimeter resolution. <i>Journal of The Electrochemical Society</i>. The Electrochemical Society. <a href=\"https://doi.org/10.1149/1.2345591\">https://doi.org/10.1149/1.2345591</a>","short":"S.A. Freunberger, M. Reum, J. Evertz, A. Wokaun, F.N. Büchi, Journal of The Electrochemical Society 153 (2006).","ama":"Freunberger SA, Reum M, Evertz J, Wokaun A, Büchi FN. Measuring the current distribution in PEFCs with sub-millimeter resolution. <i>Journal of The Electrochemical Society</i>. 2006;153(11). doi:<a href=\"https://doi.org/10.1149/1.2345591\">10.1149/1.2345591</a>","chicago":"Freunberger, Stefan Alexander, Mathias Reum, Jörg Evertz, Alexander Wokaun, and Felix N. Büchi. “Measuring the Current Distribution in PEFCs with Sub-Millimeter Resolution.” <i>Journal of The Electrochemical Society</i>. The Electrochemical Society, 2006. <a href=\"https://doi.org/10.1149/1.2345591\">https://doi.org/10.1149/1.2345591</a>.","ieee":"S. A. Freunberger, M. Reum, J. Evertz, A. Wokaun, and F. N. Büchi, “Measuring the current distribution in PEFCs with sub-millimeter resolution,” <i>Journal of The Electrochemical Society</i>, vol. 153, no. 11. The Electrochemical Society, 2006."},"author":[{"orcid":"0000-0003-2902-5319","first_name":"Stefan Alexander","full_name":"Freunberger, Stefan Alexander","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","last_name":"Freunberger"},{"last_name":"Reum","full_name":"Reum, Mathias","first_name":"Mathias"},{"last_name":"Evertz","first_name":"Jörg","full_name":"Evertz, Jörg"},{"first_name":"Alexander","full_name":"Wokaun, Alexander","last_name":"Wokaun"},{"last_name":"Büchi","full_name":"Büchi, Felix N.","first_name":"Felix N."}],"extern":"1","oa_version":"None","publication_status":"published","date_updated":"2021-01-12T08:13:06Z","type":"journal_article","month":"09"},{"article_type":"original","page":"1435-1438","intvolume":"         8","date_created":"2020-01-15T12:23:22Z","volume":8,"language":[{"iso":"eng"}],"article_processing_charge":"No","publication":"Electrochemistry Communications","year":"2006","publisher":"Elsevier","quality_controlled":"1","title":"Expanding current distribution measurement in PEFCs to sub-millimeter resolution","date_published":"2006-09-01T00:00:00Z","month":"09","type":"journal_article","extern":"1","author":[{"full_name":"Freunberger, Stefan Alexander","first_name":"Stefan Alexander","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","orcid":"0000-0003-2902-5319","last_name":"Freunberger"},{"last_name":"Reum","full_name":"Reum, Mathias","first_name":"Mathias"},{"last_name":"Wokaun","full_name":"Wokaun, Alexander","first_name":"Alexander"},{"first_name":"Felix N.","full_name":"Büchi, Felix N.","last_name":"Büchi"}],"day":"01","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"chicago":"Freunberger, Stefan Alexander, Mathias Reum, Alexander Wokaun, and Felix N. Büchi. “Expanding Current Distribution Measurement in PEFCs to Sub-Millimeter Resolution.” <i>Electrochemistry Communications</i>. Elsevier, 2006. <a href=\"https://doi.org/10.1016/j.elecom.2006.05.032\">https://doi.org/10.1016/j.elecom.2006.05.032</a>.","ama":"Freunberger SA, Reum M, Wokaun A, Büchi FN. Expanding current distribution measurement in PEFCs to sub-millimeter resolution. <i>Electrochemistry Communications</i>. 2006;8(9):1435-1438. doi:<a href=\"https://doi.org/10.1016/j.elecom.2006.05.032\">10.1016/j.elecom.2006.05.032</a>","short":"S.A. Freunberger, M. Reum, A. Wokaun, F.N. Büchi, Electrochemistry Communications 8 (2006) 1435–1438.","ieee":"S. A. Freunberger, M. Reum, A. Wokaun, and F. N. Büchi, “Expanding current distribution measurement in PEFCs to sub-millimeter resolution,” <i>Electrochemistry Communications</i>, vol. 8, no. 9. Elsevier, pp. 1435–1438, 2006.","apa":"Freunberger, S. A., Reum, M., Wokaun, A., &#38; Büchi, F. N. (2006). Expanding current distribution measurement in PEFCs to sub-millimeter resolution. <i>Electrochemistry Communications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.elecom.2006.05.032\">https://doi.org/10.1016/j.elecom.2006.05.032</a>","mla":"Freunberger, Stefan Alexander, et al. “Expanding Current Distribution Measurement in PEFCs to Sub-Millimeter Resolution.” <i>Electrochemistry Communications</i>, vol. 8, no. 9, Elsevier, 2006, pp. 1435–38, doi:<a href=\"https://doi.org/10.1016/j.elecom.2006.05.032\">10.1016/j.elecom.2006.05.032</a>.","ista":"Freunberger SA, Reum M, Wokaun A, Büchi FN. 2006. Expanding current distribution measurement in PEFCs to sub-millimeter resolution. Electrochemistry Communications. 8(9), 1435–1438."},"publication_status":"published","oa_version":"None","date_updated":"2021-01-12T08:13:06Z","publication_identifier":{"issn":["1388-2481"]},"_id":"7329","status":"public","doi":"10.1016/j.elecom.2006.05.032","abstract":[{"lang":"eng","text":"A novel measurement principle for measuring the current distribution in polymer electrolyte fuel cells (PEFCs) is introduced. It allows, in contrast to all other known techniques, for the first time for a resolution smaller than the channel/rib scale of the flow field in PEFCs. The current density is obtained by considering the electron conductors in the cell as a two-dimensional resistor with the voltage drop caused by the current. The method was applied to a cell operated on oxygen up to high current densities. The results show that the ohmic resistances govern the current distribution in the low current regime, whereas mass transport limitations hamper the current production under the land at high loads."}],"issue":"9"}]