[{"citation":{"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.","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>","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>.","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>.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.","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>"},"oa":1,"day":"01","publist_id":"4610","date_updated":"2021-01-12T06:56:44Z","year":"2012","_id":"2317","status":"public","title":"Microscopic derivation of the Ginzburg-Landau model","publisher":"World Scientific Publishing","quality_controlled":0,"doi":"10.1142/9789814449243_0060","conference":{"name":"ICMP: International Congress on Mathematical Physics"},"month":"08","type":"conference","date_published":"2012-08-01T00:00:00Z","fulldoi":"https://doi.org/10.1142/9789814449243_0060","extern":1,"page":"575 - 583","date_created":"2018-12-11T11:56:57Z","main_file_link":[{"url":"http://arxiv.org/abs/1209.1080","open_access":"1"}],"author":[{"full_name":"Frank, Rupert L","last_name":"Frank","first_name":"Rupert"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"first_name":"Jan","last_name":"Solovej","full_name":"Solovej, Jan P"}],"publication_status":"published","abstract":[{"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. ","lang":"eng"}]},{"abstract":[{"lang":"eng","text":"The Manin conjecture is established for Châtelet surfaces over Q aris-ing as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation."}],"intvolume":"       175","author":[{"first_name":"Régis","full_name":"de la Bretèche, Régis","last_name":"De La Bretèche"},{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"},{"full_name":"Peyre, Emmanuel","last_name":"Peyre","first_name":"Emmanuel"}],"issue":"1","publication_status":"published","date_created":"2018-12-11T11:45:22Z","extern":1,"page":"297 - 343","volume":175,"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","month":"01","type":"journal_article","date_published":"2012-01-01T00:00:00Z","fulldoi":"https://doi.org/10.4007/annals.2012.175.1.8","quality_controlled":0,"doi":"10.4007/annals.2012.175.1.8","publisher":"Princeton University Press","_id":"237","title":"On Manin's conjecture for a family of Châtelet surfaces","status":"public","year":"2012","date_updated":"2021-01-12T06:57:04Z","publist_id":"7667","day":"01","publication":"Annals of Mathematics","citation":{"ama":"De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. <i>Annals of Mathematics</i>. 2012;175(1):297-343. doi:<a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">10.4007/annals.2012.175.1.8</a>","short":"R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343.","mla":"De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” <i>Annals of Mathematics</i>, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:<a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">10.4007/annals.2012.175.1.8</a>.","chicago":"De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” <i>Annals of Mathematics</i>. Princeton University Press, 2012. <a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">https://doi.org/10.4007/annals.2012.175.1.8</a>.","ista":"De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.","ieee":"R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” <i>Annals of Mathematics</i>, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.","apa":"De La Bretèche, R., Browning, T. D., &#38; Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. <i>Annals of Mathematics</i>. Princeton University Press. <a href=\"https://doi.org/10.4007/annals.2012.175.1.8\">https://doi.org/10.4007/annals.2012.175.1.8</a>"}},{"publist_id":"7666","day":"20","publication":"Functiones et Approximatio, Commentarii Mathematici","citation":{"ista":"Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286.","apa":"Baier, S., &#38; Browning, T. D. (2012). Inhomogeneous quadratic congruences. <i>Functiones et Approximatio, Commentarii Mathematici</i>. Adam Mickiewicz University Press. <a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">https://doi.org/10.7169/facm/2012.47.2.9</a>","ieee":"S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” <i>Functiones et Approximatio, Commentarii Mathematici</i>, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012.","chicago":"Baier, Stephan, and Timothy D Browning. “Inhomogeneous Quadratic Congruences.” <i>Functiones et Approximatio, Commentarii Mathematici</i>. Adam Mickiewicz University Press, 2012. <a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">https://doi.org/10.7169/facm/2012.47.2.9</a>.","mla":"Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.” <i>Functiones et Approximatio, Commentarii Mathematici</i>, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:<a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">10.7169/facm/2012.47.2.9</a>.","short":"S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.","ama":"Baier S, Browning TD. Inhomogeneous quadratic congruences. <i>Functiones et Approximatio, Commentarii Mathematici</i>. 2012;47(2):267-286. doi:<a href=\"https://doi.org/10.7169/facm/2012.47.2.9\">10.7169/facm/2012.47.2.9</a>"},"status":"public","title":"Inhomogeneous quadratic congruences","_id":"238","year":"2012","date_updated":"2021-01-12T06:57:08Z","doi":"10.7169/facm/2012.47.2.9","quality_controlled":0,"publisher":"Adam Mickiewicz University Press","intvolume":"        47","abstract":[{"text":"For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q.","lang":"eng"}],"author":[{"last_name":"Baier","full_name":"Baier, Stephan","first_name":"Stephan"},{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"}],"publication_status":"published","issue":"2","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","volume":47,"extern":1,"date_created":"2018-12-11T11:45:22Z","page":"267 - 286","date_published":"2012-12-20T00:00:00Z","fulldoi":"https://doi.org/10.7169/facm/2012.47.2.9","month":"12","type":"journal_article"},{"date_updated":"2021-01-12T06:57:13Z","year":"2012","_id":"2394","status":"public","title":"The gap equation for spin-polarized fermions","citation":{"ama":"Freiji A, Hainzl C, Seiringer R. The gap equation for spin-polarized fermions. <i>Journal of Mathematical Physics</i>. 2012;53(1). doi:<a href=\"https://doi.org/10.1063/1.3670747\">10.1063/1.3670747</a>","ista":"Freiji A, Hainzl C, Seiringer R. 2012. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 53(1).","ieee":"A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized fermions,” <i>Journal of Mathematical Physics</i>, vol. 53, no. 1. American Institute of Physics, 2012.","apa":"Freiji, A., Hainzl, C., &#38; Seiringer, R. (2012). The gap equation for spin-polarized fermions. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.3670747\">https://doi.org/10.1063/1.3670747</a>","short":"A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).","mla":"Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” <i>Journal of Mathematical Physics</i>, vol. 53, no. 1, American Institute of Physics, 2012, doi:<a href=\"https://doi.org/10.1063/1.3670747\">10.1063/1.3670747</a>.","chicago":"Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” <i>Journal of Mathematical Physics</i>. American Institute of Physics, 2012. <a href=\"https://doi.org/10.1063/1.3670747\">https://doi.org/10.1063/1.3670747</a>."},"publication":"Journal of Mathematical Physics","day":"01","publist_id":"4532","type":"journal_article","month":"01","fulldoi":"https://doi.org/10.1063/1.3670747","date_published":"2012-01-01T00:00:00Z","extern":1,"date_created":"2018-12-11T11:57:25Z","volume":53,"publication_status":"published","issue":"1","author":[{"first_name":"Abraham","last_name":"Freiji","full_name":"Freiji, Abraham"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"intvolume":"        53","abstract":[{"text":"We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For cosh (δ μ/T) ≤ 2, with T the temperature and δμ the chemical potential difference, the question of existence of non-trivial solutions can be reduced to spectral properties of a linear operator, similar to the unpolarized case studied previously in [Frank, R. L., Hainzl, C., Naboko, S., and Seiringer, R., J., Geom. Anal.17, 559-567 (2007)10.1007/BF02937429; Hainzl, C., Hamza, E., Seiringer, R., and Solovej, J. P., Commun., Math. Phys.281, 349-367 (2008)10.1007/s00220-008-0489-2; and Hainzl, C. and Seiringer, R., Phys. Rev. B77, 184517-110 435 (2008)]10.1103/PhysRevB.77.184517. For cosh (δ μ/T) &gt; 2 the phase diagram is more complicated, however. We derive upper and lower bounds for the critical temperature, and study their behavior in the small coupling limit.","lang":"eng"}],"publisher":"American Institute of Physics","quality_controlled":0,"doi":"10.1063/1.3670747"},{"main_file_link":[{"url":"http://arxiv.org/abs/1102.4001","open_access":"1"}],"publication_status":"published","issue":"3","author":[{"full_name":"Frank, Rupert L","last_name":"Frank","first_name":"Rupert"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"first_name":"Jan","full_name":"Solovej, Jan P","last_name":"Solovej"}],"intvolume":"        25","abstract":[{"lang":"eng","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. "}],"type":"journal_article","month":"01","date_published":"2012-01-01T00:00:00Z","fulldoi":"https://doi.org/10.1090/S0894-0347-2012-00735-8","page":"667 - 713","date_created":"2018-12-11T11:57:25Z","extern":1,"volume":25,"publisher":"American Mathematical Society","quality_controlled":0,"doi":"10.1090/S0894-0347-2012-00735-8","_id":"2395","title":"Microscopic derivation of Ginzburg-Landau theory","status":"public","date_updated":"2021-01-12T06:57:13Z","year":"2012","day":"01","publication":"Journal of the American Mathematical Society","publist_id":"4531","citation":{"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.","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>","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.","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>.","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>.","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713."},"oa":1},{"date_created":"2018-12-11T11:57:25Z","page":"237 - 243","extern":1,"volume":100,"type":"journal_article","month":"06","date_published":"2012-06-01T00:00:00Z","fulldoi":"https://doi.org/10.1007/s11005-012-0566-5","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."}],"intvolume":"       100","author":[{"first_name":"Benjamin","last_name":"Landon","full_name":"Landon, Benjamin"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert"}],"publication_status":"published","main_file_link":[{"url":"http://arxiv.org/abs/1111.1683","open_access":"1"}],"issue":"3","quality_controlled":0,"doi":"10.1007/s11005-012-0566-5","publisher":"Springer","year":"2012","date_updated":"2021-01-12T06:57:13Z","_id":"2396","title":"The scattering length at positive temperature","status":"public","oa":1,"citation":{"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>","short":"B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.","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>.","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>.","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>","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.","ista":"Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243."},"publist_id":"4529","publication":"Letters in Mathematical Physics","day":"01"},{"status":"public","title":"Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs","_id":"2397","date_updated":"2021-01-12T06:57:14Z","year":"2012","publication":"Letters in Mathematical Physics","day":"01","publist_id":"4530","oa":1,"citation":{"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>","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>.","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>.","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>","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.","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."},"issue":"2","publication_status":"published","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1105.1100"}],"author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"abstract":[{"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.","lang":"eng"}],"intvolume":"       100","date_published":"2012-05-01T00:00:00Z","fulldoi":"https://doi.org/10.1007/s11005-011-0535-4","month":"05","type":"journal_article","volume":100,"date_created":"2018-12-11T11:57:25Z","page":"119 - 138","extern":1,"publisher":"Springer","doi":"10.1007/s11005-011-0535-4","quality_controlled":0},{"volume":24,"date_created":"2018-12-11T11:57:26Z","extern":1,"fulldoi":"https://doi.org/10.1142/S0129055X12300026","date_published":"2012-07-01T00:00:00Z","type":"review","month":"07","intvolume":"        24","abstract":[{"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.","lang":"eng"}],"publication_status":"published","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1109.3804"}],"issue":"6","author":[{"full_name":"Jakšić, Vojkan","last_name":"Jakšić","first_name":"Vojkan"},{"last_name":"Ogata","full_name":"Ogata, Yoshiko","first_name":"Yoshiko"},{"last_name":"Pillet","full_name":"Pillet, Claude A","first_name":"Claude"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer"}],"doi":"10.1142/S0129055X12300026","quality_controlled":0,"publisher":"World Scientific Publishing","year":"2012","date_updated":"2020-07-14T12:45:40Z","title":"Quantum hypothesis testing and non-equilibrium statistical mechanics","status":"public","_id":"2398","oa":1,"citation":{"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.","ista":"Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).","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>","short":"V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (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>.","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>.","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>"},"publist_id":"4528","day":"01","publication":"Reviews in Mathematical Physics"},{"publisher":"Springer","quality_controlled":0,"doi":"10.1007/978-3-642-29511-9_2","alternative_title":["Lecture Notes in Mathematics"],"publication_status":"published","author":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer"}],"abstract":[{"text":"Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures.\n","lang":"eng"}],"intvolume":"      2051","type":"book_chapter","month":"01","fulldoi":"https://doi.org/10.1007/978-3-642-29511-9_2","date_published":"2012-01-01T00:00:00Z","page":"55 - 92","date_created":"2018-12-11T11:57:26Z","extern":1,"volume":2051,"editor":[{"first_name":"Vincent","last_name":"Rivasseau","full_name":"Rivasseau, Vincent"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert"},{"first_name":"Jan","full_name":"Solovej, Jan P","last_name":"Solovej"},{"last_name":"Spencer","full_name":"Spencer, Thomas","first_name":"Thomas"}],"day":"01","publication":"Quantum Many Body Systems","publist_id":"4526","citation":{"chicago":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In <i>Quantum Many Body Systems</i>, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. <a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">https://doi.org/10.1007/978-3-642-29511-9_2</a>.","mla":"Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” <i>Quantum Many Body Systems</i>, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:<a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">10.1007/978-3-642-29511-9_2</a>.","short":"R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.","ieee":"R. Seiringer, “Cold quantum gases and bose einstein condensation,” in <i>Quantum Many Body Systems</i>, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and T. Spencer, Eds. Springer, 2012, pp. 55–92.","apa":"Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In V. Rivasseau, R. Seiringer, J. Solovej, &#38; T. Spencer (Eds.), <i>Quantum Many Body Systems</i> (Vol. 2051, pp. 55–92). Springer. <a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">https://doi.org/10.1007/978-3-642-29511-9_2</a>","ista":"Seiringer R. 2012.Cold quantum gases and bose einstein condensation. In: Quantum Many Body Systems. Lecture Notes in Mathematics, vol. 2051, 55–92.","ama":"Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau V, Seiringer R, Solovej J, Spencer T, eds. <i>Quantum Many Body Systems</i>. Vol 2051. Springer; 2012:55-92. doi:<a href=\"https://doi.org/10.1007/978-3-642-29511-9_2\">10.1007/978-3-642-29511-9_2</a>"},"_id":"2399","status":"public","title":"Cold quantum gases and bose einstein condensation","date_updated":"2021-01-12T06:57:14Z","year":"2012"},{"day":"23","publication":"Experimental Mathematics","publist_id":"7664","citation":{"apa":"Browning, T. D., &#38; Valckenborgh, K. V. (2012). Sums of three squareful numbers. <i>Experimental Mathematics</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/10586458.2011.605733\">https://doi.org/10.1080/10586458.2011.605733</a>","ista":"Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.","ieee":"T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” <i>Experimental Mathematics</i>, vol. 21, no. 2. Taylor &#38; Francis, pp. 204–211, 2012.","mla":"Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.” <i>Experimental Mathematics</i>, vol. 21, no. 2, Taylor &#38; Francis, 2012, pp. 204–11, doi:<a href=\"https://doi.org/10.1080/10586458.2011.605733\">10.1080/10586458.2011.605733</a>.","chicago":"Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.” <i>Experimental Mathematics</i>. Taylor &#38; Francis, 2012. <a href=\"https://doi.org/10.1080/10586458.2011.605733\">https://doi.org/10.1080/10586458.2011.605733</a>.","short":"T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.","ama":"Browning TD, Valckenborgh KV. Sums of three squareful numbers. <i>Experimental Mathematics</i>. 2012;21(2):204-211. doi:<a href=\"https://doi.org/10.1080/10586458.2011.605733\">10.1080/10586458.2011.605733</a>"},"status":"public","title":"Sums of three squareful numbers","_id":"240","date_updated":"2021-01-12T06:57:15Z","year":"2012","publisher":"Taylor & Francis","doi":"10.1080/10586458.2011.605733","quality_controlled":0,"publication_status":"published","issue":"2","author":[{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","last_name":"Browning"},{"last_name":"Valckenborgh","full_name":"Valckenborgh, K Van","first_name":"K Van"}],"intvolume":"        21","abstract":[{"lang":"eng","text":"We investigate the frequency of positive squareful numbers x, y, z≤B for which x+y=z and present a conjecture concerning its asymptotic behavior."}],"fulldoi":"https://doi.org/10.1080/10586458.2011.605733","date_published":"2012-05-23T00:00:00Z","month":"05","type":"journal_article","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","volume":21,"extern":1,"date_created":"2018-12-11T11:45:23Z","page":"204 - 211"},{"publication":"Communications in Mathematical Physics","day":"01","publist_id":"4527","citation":{"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>","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.","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>","ista":"Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424.","short":"R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.","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>.","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>."},"oa":1,"_id":"2400","status":"public","title":"Binding of polarons and atoms at threshold","date_updated":"2021-01-12T06:57:15Z","year":"2012","publisher":"Springer","quality_controlled":0,"doi":"10.1007/s00220-012-1436-9","publication_status":"published","author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"issue":"2","main_file_link":[{"url":"http://arxiv.org/abs/1106.0729","open_access":"1"}],"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."}],"intvolume":"       313","type":"journal_article","month":"07","fulldoi":"https://doi.org/10.1007/s00220-012-1436-9","date_published":"2012-07-01T00:00:00Z","extern":1,"date_created":"2018-12-11T11:57:27Z","page":"405 - 424","volume":313},{"publist_id":"4525","day":"01","publication":"Journal of Statistical Physics","oa":1,"citation":{"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>.","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>.","short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 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>","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.","ista":"Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91.","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>"},"status":"public","title":"Further implications of the Bessis-Moussa-Villani conjecture","_id":"2401","year":"2012","date_updated":"2021-01-12T06:57:16Z","doi":"10.1007/s10955-012-0585-8","quality_controlled":0,"publisher":"Springer","intvolume":"       149","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"}],"author":[{"first_name":"Élliott","full_name":"Lieb, Élliott H","last_name":"Lieb"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"publication_status":"published","issue":"1","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1206.0460"}],"volume":149,"page":"86 - 91","date_created":"2018-12-11T11:57:27Z","extern":1,"date_published":"2012-10-01T00:00:00Z","fulldoi":"https://doi.org/10.1007/s10955-012-0585-8","type":"journal_article","month":"10"},{"year":"2012","date_updated":"2021-01-12T06:57:16Z","_id":"2402","title":"Lieb-Thirring inequality for a model of particles with point interactions","status":"public","oa":1,"citation":{"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>.","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).","ista":"Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).","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.","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>"},"publist_id":"4524","day":"28","publication":"Journal of Mathematical Physics","extern":1,"date_created":"2018-12-11T11:57:27Z","volume":53,"type":"journal_article","month":"09","fulldoi":"https://doi.org/10.1063/1.3697416","date_published":"2012-09-28T00:00:00Z","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"}],"intvolume":"        53","publication_status":"published","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1112.5617"}],"issue":"9","author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"}],"quality_controlled":0,"doi":"10.1063/1.3697416","publisher":"American Institute of Physics"},{"issue":"11","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1207.7054"}],"author":[{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"first_name":"Jakob","full_name":"Yngvason, Jakob","last_name":"Yngvason"},{"first_name":"Valentin","last_name":"Zagrebnov","full_name":"Zagrebnov, Valentin A"}],"publication_status":"published","intvolume":"      2012","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"}],"fulldoi":"https://doi.org/10.1088/1742-5468/2012/11/P11007","date_published":"2012-11-01T00:00:00Z","type":"journal_article","month":"11","volume":2012,"extern":1,"date_created":"2018-12-11T11:57:28Z","publisher":"IOP Publishing Ltd.","doi":"10.1088/1742-5468/2012/11/P11007","quality_controlled":0,"status":"public","title":"Disordered Bose-Einstein condensates with interaction in one dimension","_id":"2403","date_updated":"2021-01-12T06:57:16Z","year":"2012","publication":"Journal of Statistical Mechanics Theory and Experiment","day":"01","publist_id":"4523","citation":{"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.","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).","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>","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>.","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>.","short":"R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).","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>"},"oa":1},{"month":"02","type":"journal_article","fulldoi":"https://doi.org/10.1007/s11856-012-0019-y","date_published":"2012-02-28T00:00:00Z","page":"973 - 1012","date_created":"2018-12-11T11:45:23Z","extern":1,"volume":191,"author":[{"first_name":"Régis","last_name":"De La Bretèche","full_name":"de la Bretèche, Régis"},{"orcid":"0000-0002-8314-0177","first_name":"Timothy D","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"}],"publication_status":"published","issue":"2","abstract":[{"lang":"eng","text":"The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Châtelet surfaces over ℚ."}],"intvolume":"       191","publisher":"Springer","quality_controlled":0,"doi":"10.1007/s11856-012-0019-y","date_updated":"2021-01-12T06:57:19Z","year":"2012","_id":"241","status":"public","title":"Binary forms as sums of two squares and Châtelet surfaces","citation":{"ama":"De La Bretèche R, Browning TD. Binary forms as sums of two squares and Châtelet surfaces. <i>Israel Journal of Mathematics</i>. 2012;191(2):973-1012. doi:<a href=\"https://doi.org/10.1007/s11856-012-0019-y\">10.1007/s11856-012-0019-y</a>","ista":"De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012.","apa":"De La Bretèche, R., &#38; Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. <i>Israel Journal of Mathematics</i>. Springer. <a href=\"https://doi.org/10.1007/s11856-012-0019-y\">https://doi.org/10.1007/s11856-012-0019-y</a>","ieee":"R. De La Bretèche and T. D. Browning, “Binary forms as sums of two squares and Châtelet surfaces,” <i>Israel Journal of Mathematics</i>, vol. 191, no. 2. Springer, pp. 973–1012, 2012.","short":"R. De La Bretèche, T.D. Browning, Israel Journal of Mathematics 191 (2012) 973–1012.","mla":"De La Bretèche, Régis, and Timothy D. Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” <i>Israel Journal of Mathematics</i>, vol. 191, no. 2, Springer, 2012, pp. 973–1012, doi:<a href=\"https://doi.org/10.1007/s11856-012-0019-y\">10.1007/s11856-012-0019-y</a>.","chicago":"De La Bretèche, Régis, and Timothy D Browning. “Binary Forms as Sums of Two Squares and Châtelet Surfaces.” <i>Israel Journal of Mathematics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s11856-012-0019-y\">https://doi.org/10.1007/s11856-012-0019-y</a>."},"publication":"Israel Journal of Mathematics","day":"28","publist_id":"7663"},{"has_accepted_license":"1","scopus_import":"1","file_date_updated":"2020-07-14T12:45:40Z","publisher":"Oxford University Press","volume":29,"pubrep_id":"384","license":"https://creativecommons.org/licenses/by-nc/4.0/","date_created":"2018-12-11T11:57:30Z","page":"1319 - 1334","type":"journal_article","ddc":["570","576"],"month":"05","file":[{"content_type":"application/pdf","relation":"main_file","file_size":754922,"file_id":"5013","checksum":"d565dcac27d1736c0c378ea6fcf22d69","date_updated":"2020-07-14T12:45:40Z","access_level":"open_access","date_created":"2018-12-12T10:13:30Z","file_name":"IST-2015-384-v1+1_Mol_Biol_Evol-2012-Ebersberger-1319-34.pdf","creator":"system"}],"language":[{"iso":"eng"}],"department":[{"_id":"JoBo"}],"oa":1,"day":"01","tmp":{"short":"CC BY-NC (4.0)","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"},"date_updated":"2025-09-30T08:21:34Z","title":"A consistent phylogenetic backbone for the fungi","doi":"10.1093/molbev/msr285","quality_controlled":"1","fulldoi":"https://doi.org/10.1093/molbev/msr285","date_published":"2012-05-01T00:00:00Z","isi":1,"oa_version":"Published Version","abstract":[{"lang":"eng","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."}],"intvolume":"        29","publication_status":"published","author":[{"last_name":"Ebersberger","full_name":"Ebersberger, Ingo","first_name":"Ingo"},{"full_name":"De Matos Simoes, Ricardo","last_name":"De Matos Simoes","first_name":"Ricardo"},{"id":"2BB22BC2-F248-11E8-B48F-1D18A9856A87","full_name":"Kupczok, Anne","last_name":"Kupczok","first_name":"Anne"},{"full_name":"Gube, Matthias","last_name":"Gube","first_name":"Matthias"},{"last_name":"Kothe","full_name":"Kothe, Erika","first_name":"Erika"},{"first_name":"Kerstin","full_name":"Voigt, Kerstin","last_name":"Voigt"},{"full_name":"Von Haeseler, Arndt","last_name":"Von Haeseler","first_name":"Arndt"}],"issue":"5","external_id":{"isi":["000303603300004"]},"article_processing_charge":"No","citation":{"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.","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>","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>.","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>.","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.","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>"},"publist_id":"4515","publication":"Molecular Biology and Evolution","year":"2012","status":"public","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","_id":"2411"},{"publisher":"Cambridge University Press","doi":"10.1017/S001309151100037X","quality_controlled":0,"date_published":"2012-10-01T00:00:00Z","fulldoi":"https://doi.org/10.1017/S001309151100037X","month":"10","type":"journal_article","volume":55,"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","page":"551 - 576","date_created":"2018-12-11T11:45:23Z","extern":1,"publication_status":"published","main_file_link":[{"url":"https://arxiv.org/abs/1101.5464","open_access":"1"}],"issue":"3","author":[{"first_name":"Stephan","full_name":"Baier, Stephan","last_name":"Baier"},{"last_name":"Browning","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177"},{"first_name":"Gihan","last_name":"Marasingha","full_name":"Marasingha, Gihan"},{"full_name":"Zhao, Liangyi","last_name":"Zhao","first_name":"Liangyi"}],"intvolume":"        55","abstract":[{"lang":"eng","text":"We investigate the first and second moments of shifted convolutions of the generalized divisor function d 3(n)."}],"oa":1,"citation":{"short":"S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh Mathematical Society 55 (2012) 551–576.","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>.","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.","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>"},"publication":"Proceedings of the Edinburgh Mathematical Society","day":"01","publist_id":"7662","date_updated":"2021-01-12T06:57:23Z","year":"2012","title":"Averages of shifted convolutions of d3 (n)","status":"public","_id":"242"},{"year":"2012","date_updated":"2021-01-12T06:57:26Z","title":"Quadratic polynomials represented by norm forms","status":"public","_id":"243","citation":{"ama":"Browning TD, Heath Brown R. Quadratic polynomials represented by norm forms. <i>Geometric and Functional Analysis</i>. 2012;22(5):1124-1190. doi:<a href=\"https://doi.org/10.1007/s00039-012-0168-5\">10.1007/s00039-012-0168-5</a>","short":"T.D. Browning, R. Heath Brown, Geometric and Functional Analysis 22 (2012) 1124–1190.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” <i>Geometric and Functional Analysis</i>. Springer Basel, 2012. <a href=\"https://doi.org/10.1007/s00039-012-0168-5\">https://doi.org/10.1007/s00039-012-0168-5</a>.","mla":"Browning, Timothy D., and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” <i>Geometric and Functional Analysis</i>, vol. 22, no. 5, Springer Basel, 2012, pp. 1124–90, doi:<a href=\"https://doi.org/10.1007/s00039-012-0168-5\">10.1007/s00039-012-0168-5</a>.","ista":"Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190.","ieee":"T. D. Browning and R. Heath Brown, “Quadratic polynomials represented by norm forms,” <i>Geometric and Functional Analysis</i>, vol. 22, no. 5. Springer Basel, pp. 1124–1190, 2012.","apa":"Browning, T. D., &#38; Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. <i>Geometric and Functional Analysis</i>. Springer Basel. <a href=\"https://doi.org/10.1007/s00039-012-0168-5\">https://doi.org/10.1007/s00039-012-0168-5</a>"},"publist_id":"7661","publication":"Geometric and Functional Analysis","day":"25","volume":22,"date_created":"2018-12-11T11:45:24Z","page":"1124 - 1190","extern":1,"fulldoi":"https://doi.org/10.1007/s00039-012-0168-5","date_published":"2012-08-25T00:00:00Z","type":"journal_article","month":"08","abstract":[{"text":"Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ℚ containing the roots of P(t). Let N K/ℚ(X) be a full norm form for the extension K/ℚ. We show that the variety P(t) =N K/ℚ(X)≠ 0 satisfies the Hasse principle and weak approximation. The proof uses analytic methods.","lang":"eng"}],"intvolume":"        22","author":[{"last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177"},{"full_name":"Heath-Brown, Roger","last_name":"Heath Brown","first_name":"Roger"}],"publication_status":"published","issue":"5","doi":"10.1007/s00039-012-0168-5","quality_controlled":0,"publisher":"Springer Basel"},{"intvolume":"        47","abstract":[{"text":"The colored Tverberg theorem asserts that for eve;ry d and r there exists t=t(d,r) such that for every set C ⊂ ℝ d of cardinality (d + 1)t, partitioned into t-point subsets C 1, C 2,...,C d+1 (which we think of as color classes; e. g., the points of C 1 are red, the points of C 2 blue, etc.), there exist r disjoint sets R 1, R 2,...,R r⊆C that are rainbow, meaning that {pipe}R i∩C j{pipe}≤1 for every i,j, and whose convex hulls all have a common point. All known proofs of this theorem are topological. We present a geometric version of a recent beautiful proof by Blagojević, Matschke, and Ziegler, avoiding a direct use of topological methods. The purpose of this de-topologization is to make the proof more concrete and intuitive, and accessible to a wider audience.","lang":"eng"}],"publication_status":"published","author":[{"first_name":"Jiří","full_name":"Matoušek, Jiří","last_name":"Matoušek"},{"last_name":"Tancer","full_name":"Martin Tancer","id":"38AC689C-F248-11E8-B48F-1D18A9856A87","first_name":"Martin","orcid":"0000-0002-1191-6714"},{"orcid":"0000-0002-1494-0568","first_name":"Uli","full_name":"Uli Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","last_name":"Wagner"}],"issue":"2","page":"245 - 265","date_created":"2018-12-11T11:57:39Z","extern":1,"acknowledgement":"We would like to thank Marek Krcál for useful discussions at initial stages of this research. We also thank Günter M. Ziegler for valuable comments, and Peter Landweber and two anonymous referees for detailed comments and corrections that greatly helped to improve the presentation. In particular, we are indebted to one of the referees for pointing out to us reference [19]. M. Tancer is supported by the grants SVV-2010-261313 (Discrete Methods and Algorithms) and GAUK 49209. U. Wagner’s research is supported by the Swiss National Science Foundation (SNF Projects 200021- 125309 and 200020-125027). ","volume":47,"month":"03","type":"journal_article","date_published":"2012-03-01T00:00:00Z","fulldoi":"https://doi.org/10.1007/s00454-011-9368-2","quality_controlled":0,"doi":"10.1007/s00454-011-9368-2","publisher":"Springer","_id":"2438","status":"public","title":"A geometric proof of the colored Tverberg theorem","year":"2012","date_updated":"2021-01-12T06:57:29Z","publist_id":"4468","publication":"Discrete & Computational Geometry","day":"01","citation":{"chicago":"Matoušek, Jiří, Martin Tancer, and Uli Wagner. “A Geometric Proof of the Colored Tverberg Theorem.” <i>Discrete &#38; Computational Geometry</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00454-011-9368-2\">https://doi.org/10.1007/s00454-011-9368-2</a>.","mla":"Matoušek, Jiří, et al. “A Geometric Proof of the Colored Tverberg Theorem.” <i>Discrete &#38; Computational Geometry</i>, vol. 47, no. 2, Springer, 2012, pp. 245–65, doi:<a href=\"https://doi.org/10.1007/s00454-011-9368-2\">10.1007/s00454-011-9368-2</a>.","short":"J. Matoušek, M. Tancer, U. Wagner, Discrete &#38; Computational Geometry 47 (2012) 245–265.","ieee":"J. Matoušek, M. Tancer, and U. Wagner, “A geometric proof of the colored Tverberg theorem,” <i>Discrete &#38; Computational Geometry</i>, vol. 47, no. 2. Springer, pp. 245–265, 2012.","apa":"Matoušek, J., Tancer, M., &#38; Wagner, U. (2012). A geometric proof of the colored Tverberg theorem. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/s00454-011-9368-2\">https://doi.org/10.1007/s00454-011-9368-2</a>","ista":"Matoušek J, Tancer M, Wagner U. 2012. A geometric proof of the colored Tverberg theorem. Discrete &#38; Computational Geometry. 47(2), 245–265.","ama":"Matoušek J, Tancer M, Wagner U. A geometric proof of the colored Tverberg theorem. <i>Discrete &#38; Computational Geometry</i>. 2012;47(2):245-265. doi:<a href=\"https://doi.org/10.1007/s00454-011-9368-2\">10.1007/s00454-011-9368-2</a>"}},{"abstract":[{"lang":"eng","text":"A Monte Carlo approximation algorithm for the Tukey depth problem in high dimensions is introduced. The algorithm is a generalization of an algorithm presented by Rousseeuw and Struyf (1998) . The performance of this algorithm is studied both analytically and experimentally."}],"intvolume":"        46","publication_status":"published","issue":"5","author":[{"last_name":"Chen","full_name":"Chen, Dan","first_name":"Dan"},{"full_name":"Morin, Pat","last_name":"Morin","first_name":"Pat"},{"orcid":"0000-0002-1494-0568","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Uli Wagner","last_name":"Wagner"}],"volume":46,"extern":1,"date_created":"2018-12-11T11:57:40Z","page":"566 - 573","fulldoi":"https://doi.org/10.1016/j.comgeo.2012.03.001","date_published":"2012-07-01T00:00:00Z","month":"07","type":"journal_article","doi":"10.1016/j.comgeo.2012.03.001","quality_controlled":0,"publisher":"Elsevier","title":"Absolute approximation of Tukey depth: Theory and experiments","status":"public","_id":"2439","year":"2012","date_updated":"2021-01-12T06:57:29Z","publist_id":"4467","publication":"Computational Geometry: Theory and Applications","day":"01","citation":{"ama":"Chen D, Morin P, Wagner U. Absolute approximation of Tukey depth: Theory and experiments. <i>Computational Geometry: Theory and Applications</i>. 2012;46(5):566-573. doi:<a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">10.1016/j.comgeo.2012.03.001</a>","ista":"Chen D, Morin P, Wagner U. 2012. Absolute approximation of Tukey depth: Theory and experiments. Computational Geometry: Theory and Applications. 46(5), 566–573.","apa":"Chen, D., Morin, P., &#38; Wagner, U. (2012). Absolute approximation of Tukey depth: Theory and experiments. <i>Computational Geometry: Theory and Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">https://doi.org/10.1016/j.comgeo.2012.03.001</a>","ieee":"D. Chen, P. Morin, and U. Wagner, “Absolute approximation of Tukey depth: Theory and experiments,” <i>Computational Geometry: Theory and Applications</i>, vol. 46, no. 5. Elsevier, pp. 566–573, 2012.","short":"D. Chen, P. Morin, U. Wagner, Computational Geometry: Theory and Applications 46 (2012) 566–573.","chicago":"Chen, Dan, Pat Morin, and Uli Wagner. “Absolute Approximation of Tukey Depth: Theory and Experiments.” <i>Computational Geometry: Theory and Applications</i>. Elsevier, 2012. <a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">https://doi.org/10.1016/j.comgeo.2012.03.001</a>.","mla":"Chen, Dan, et al. “Absolute Approximation of Tukey Depth: Theory and Experiments.” <i>Computational Geometry: Theory and Applications</i>, vol. 46, no. 5, Elsevier, 2012, pp. 566–73, doi:<a href=\"https://doi.org/10.1016/j.comgeo.2012.03.001\">10.1016/j.comgeo.2012.03.001</a>."}}]