[{"_id":"2317","day":"01","publication_status":"published","quality_controlled":0,"author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"last_name":"Solovej","first_name":"Jan","full_name":"Solovej, Jan P"}],"date_published":"2012-08-01T00:00:00Z","month":"08","main_file_link":[{"url":"http://arxiv.org/abs/1209.1080","open_access":"1"}],"status":"public","publisher":"World Scientific Publishing","doi":"10.1142/9789814449243_0060","publist_id":"4610","oa":1,"citation":{"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>","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>.","ieee":"R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of the Ginzburg-Landau model,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 575–583.","mla":"Frank, Rupert, et al. <i>Microscopic Derivation of the Ginzburg-Landau Model</i>. World Scientific Publishing, 2012, pp. 575–83, doi:<a href=\"https://doi.org/10.1142/9789814449243_0060\">10.1142/9789814449243_0060</a>.","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.","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>"},"date_updated":"2021-01-12T06:56:44Z","date_created":"2018-12-11T11:56:57Z","abstract":[{"lang":"eng","text":"We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. "}],"title":"Microscopic derivation of the Ginzburg-Landau model","year":"2012","type":"conference","page":"575 - 583","extern":1,"conference":{"name":"ICMP: International Congress on Mathematical Physics"}},{"date_updated":"2025-09-30T08:22:10Z","arxiv":1,"citation":{"ista":"Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.","short":"R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.","ama":"Seiringer R. Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. 2012;2(3):321-328. doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>","chicago":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>. European Mathematical Society, 2012. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>.","apa":"Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. <i>Journal of Spectral Theory</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JST/31\">https://doi.org/10.4171/JST/31</a>","mla":"Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” <i>Journal of Spectral Theory</i>, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:<a href=\"https://doi.org/10.4171/JST/31\">10.4171/JST/31</a>.","ieee":"R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” <i>Journal of Spectral Theory</i>, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012."},"publist_id":"4609","oa":1,"type":"journal_article","abstract":[{"lang":"eng","text":"We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. "}],"date_created":"2018-12-11T11:56:58Z","article_processing_charge":"No","acknowledgement":"Partial financial support by NSERC ","oa_version":"Preprint","date_published":"2012-06-24T00:00:00Z","language":[{"iso":"eng"}],"volume":2,"department":[{"_id":"RoSe"}],"day":"24","intvolume":"         2","external_id":{"arxiv":["1204.0435"],"isi":["000209021900004"]},"publication":"Journal of Spectral Theory","title":"Absence of bound states implies non-negativity of the scattering length","isi":1,"corr_author":"1","year":"2012","page":"321-328","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publisher":"European Mathematical Society","doi":"10.4171/JST/31","author":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"status":"public","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1204.0435"}],"month":"06","_id":"2318","issue":"3","quality_controlled":"1","publication_status":"published"},{"page":"297 - 343","extern":1,"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","date_updated":"2021-01-12T06:57:04Z","citation":{"short":"R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343.","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.","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>","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.","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>.","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":"7667","year":"2012","title":"On Manin's conjecture for a family of Châtelet surfaces","type":"journal_article","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."}],"date_created":"2018-12-11T11:45:22Z","publisher":"Princeton University Press","doi":"10.4007/annals.2012.175.1.8","volume":175,"status":"public","month":"01","date_published":"2012-01-01T00:00:00Z","author":[{"last_name":"De La Bretèche","first_name":"Régis","full_name":"de la Bretèche, Régis"},{"last_name":"Browning","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177"},{"last_name":"Peyre","first_name":"Emmanuel","full_name":"Peyre, Emmanuel"}],"publication_status":"published","quality_controlled":0,"publication":"Annals of Mathematics","_id":"237","day":"01","issue":"1","intvolume":"       175"},{"doi":"10.7169/facm/2012.47.2.9","publisher":"Adam Mickiewicz University Press","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","extern":1,"page":"267 - 286","date_created":"2018-12-11T11:45:22Z","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"}],"year":"2012","title":"Inhomogeneous quadratic congruences","type":"journal_article","publist_id":"7666","citation":{"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>","short":"S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286.","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>","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>.","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."},"date_updated":"2021-01-12T06:57:08Z","publication":"Functiones et Approximatio, Commentarii Mathematici","quality_controlled":0,"publication_status":"published","intvolume":"        47","issue":"2","day":"20","_id":"238","month":"12","status":"public","volume":47,"author":[{"first_name":"Stephan","full_name":"Baier, Stephan","last_name":"Baier"},{"orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","first_name":"Timothy D"}],"date_published":"2012-12-20T00:00:00Z"},{"doi":"10.1063/1.3670747","publisher":"American Institute of Physics","type":"journal_article","title":"The gap equation for spin-polarized fermions","year":"2012","date_created":"2018-12-11T11:57:25Z","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"}],"date_updated":"2021-01-12T06:57:13Z","citation":{"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.","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>.","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>","ista":"Freiji A, Hainzl C, Seiringer R. 2012. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 53(1).","short":"A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).","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>"},"publist_id":"4532","extern":1,"day":"01","issue":"1","intvolume":"        53","_id":"2394","publication":"Journal of Mathematical Physics","publication_status":"published","quality_controlled":0,"date_published":"2012-01-01T00:00:00Z","author":[{"last_name":"Freiji","full_name":"Freiji, Abraham","first_name":"Abraham"},{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"status":"public","month":"01","volume":53},{"doi":"10.1090/S0894-0347-2012-00735-8","publisher":"American Mathematical Society","type":"journal_article","title":"Microscopic derivation of Ginzburg-Landau theory","year":"2012","date_created":"2018-12-11T11:57:25Z","abstract":[{"text":"We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. ","lang":"eng"}],"date_updated":"2021-01-12T06:57:13Z","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>","short":"R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.","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.","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>.","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>.","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>"},"oa":1,"publist_id":"4531","extern":1,"page":"667 - 713","day":"01","issue":"3","intvolume":"        25","_id":"2395","publication":"Journal of the American Mathematical Society","publication_status":"published","quality_controlled":0,"date_published":"2012-01-01T00:00:00Z","author":[{"last_name":"Frank","full_name":"Frank, Rupert L","first_name":"Rupert"},{"last_name":"Hainzl","full_name":"Hainzl, Christian","first_name":"Christian"},{"full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"},{"first_name":"Jan","full_name":"Solovej, Jan P","last_name":"Solovej"}],"status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1102.4001","open_access":"1"}],"month":"01","volume":25},{"publisher":"Springer","doi":"10.1007/s11005-012-0566-5","page":"237 - 243","extern":1,"date_updated":"2021-01-12T06:57:13Z","oa":1,"publist_id":"4529","citation":{"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.","mla":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>.","chicago":"Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” <i>Letters in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>.","apa":"Landon, B., &#38; Seiringer, R. (2012). The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s11005-012-0566-5\">https://doi.org/10.1007/s11005-012-0566-5</a>","ama":"Landon B, Seiringer R. The scattering length at positive temperature. <i>Letters in Mathematical Physics</i>. 2012;100(3):237-243. doi:<a href=\"https://doi.org/10.1007/s11005-012-0566-5\">10.1007/s11005-012-0566-5</a>","ista":"Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243.","short":"B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243."},"year":"2012","type":"journal_article","title":"The scattering length at positive temperature","abstract":[{"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.","lang":"eng"}],"date_created":"2018-12-11T11:57:25Z","quality_controlled":0,"publication_status":"published","publication":"Letters in Mathematical Physics","_id":"2396","issue":"3","day":"01","intvolume":"       100","volume":100,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1111.1683"}],"status":"public","month":"06","date_published":"2012-06-01T00:00:00Z","author":[{"first_name":"Benjamin","full_name":"Landon, Benjamin","last_name":"Landon"},{"first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}]},{"status":"public","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1105.1100"}],"month":"05","volume":100,"date_published":"2012-05-01T00:00:00Z","author":[{"first_name":"Christian","full_name":"Hainzl, Christian","last_name":"Hainzl"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"publication":"Letters in Mathematical Physics","publication_status":"published","quality_controlled":0,"issue":"2","day":"01","intvolume":"       100","_id":"2397","extern":1,"page":"119 - 138","type":"journal_article","year":"2012","title":"Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs","date_created":"2018-12-11T11:57:25Z","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"}],"date_updated":"2021-01-12T06:57:14Z","oa":1,"publist_id":"4530","citation":{"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>","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>.","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.","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>.","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>","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.","short":"C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138."},"doi":"10.1007/s11005-011-0535-4","publisher":"Springer"},{"_id":"2398","day":"01","issue":"6","intvolume":"        24","publication_status":"published","quality_controlled":0,"publication":"Reviews in Mathematical Physics","date_published":"2012-07-01T00:00:00Z","author":[{"first_name":"Vojkan","full_name":"Jakšić, Vojkan","last_name":"Jakšić"},{"full_name":"Ogata, Yoshiko","first_name":"Yoshiko","last_name":"Ogata"},{"first_name":"Claude","full_name":"Pillet, Claude A","last_name":"Pillet"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"volume":24,"status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1109.3804","open_access":"1"}],"month":"07","publisher":"World Scientific Publishing","doi":"10.1142/S0129055X12300026","date_updated":"2020-07-14T12:45:40Z","citation":{"ama":"Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium statistical mechanics. <i>Reviews in Mathematical Physics</i>. 2012;24(6). doi:<a href=\"https://doi.org/10.1142/S0129055X12300026\">10.1142/S0129055X12300026</a>","ista":"Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).","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>.","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.","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>.","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>"},"oa":1,"publist_id":"4528","title":"Quantum hypothesis testing and non-equilibrium statistical mechanics","year":"2012","type":"review","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"}],"date_created":"2018-12-11T11:57:26Z","extern":1},{"status":"public","month":"01","volume":2051,"date_published":"2012-01-01T00:00:00Z","author":[{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer"}],"publication":"Quantum Many Body Systems","alternative_title":["Lecture Notes in Mathematics"],"publication_status":"published","quality_controlled":0,"day":"01","intvolume":"      2051","_id":"2399","extern":1,"page":"55 - 92","editor":[{"last_name":"Rivasseau","full_name":"Rivasseau, Vincent","first_name":"Vincent"},{"first_name":"Robert","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521"},{"last_name":"Solovej","full_name":"Solovej, Jan P","first_name":"Jan"},{"first_name":"Thomas","full_name":"Spencer, Thomas","last_name":"Spencer"}],"year":"2012","type":"book_chapter","title":"Cold quantum gases and bose einstein condensation","date_created":"2018-12-11T11:57:26Z","abstract":[{"lang":"eng","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"}],"date_updated":"2021-01-12T06:57:14Z","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>.","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>","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>.","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.","ista":"Seiringer R. 2012.Cold quantum gases and bose einstein condensation. In: Quantum Many Body Systems. Lecture Notes in Mathematics, vol. 2051, 55–92.","short":"R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 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>"},"publist_id":"4526","doi":"10.1007/978-3-642-29511-9_2","publisher":"Springer"},{"page":"204 - 211","extern":1,"acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","date_updated":"2021-01-12T06:57:15Z","citation":{"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>","ista":"Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.","short":"T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.","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>","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>.","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>.","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."},"publist_id":"7664","title":"Sums of three squareful numbers","type":"journal_article","year":"2012","abstract":[{"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.","lang":"eng"}],"date_created":"2018-12-11T11:45:23Z","publisher":"Taylor & Francis","doi":"10.1080/10586458.2011.605733","volume":21,"status":"public","month":"05","date_published":"2012-05-23T00:00:00Z","author":[{"orcid":"0000-0002-8314-0177","last_name":"Browning","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D"},{"full_name":"Valckenborgh, K Van","first_name":"K Van","last_name":"Valckenborgh"}],"publication_status":"published","quality_controlled":0,"publication":"Experimental Mathematics","_id":"240","issue":"2","day":"23","intvolume":"        21"},{"intvolume":"       313","issue":"2","day":"01","_id":"2400","publication":"Communications in Mathematical Physics","quality_controlled":0,"publication_status":"published","author":[{"full_name":"Frank, Rupert L","first_name":"Rupert","last_name":"Frank"},{"full_name":"Lieb, Élliott H","first_name":"Élliott","last_name":"Lieb"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"date_published":"2012-07-01T00:00:00Z","month":"07","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1106.0729","open_access":"1"}],"volume":313,"doi":"10.1007/s00220-012-1436-9","publisher":"Springer","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."}],"date_created":"2018-12-11T11:57:27Z","type":"journal_article","title":"Binding of polarons and atoms at threshold","year":"2012","publist_id":"4527","citation":{"mla":"Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” <i>Communications in Mathematical Physics</i>, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:<a href=\"https://doi.org/10.1007/s00220-012-1436-9\">10.1007/s00220-012-1436-9</a>.","ieee":"R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” <i>Communications in Mathematical Physics</i>, vol. 313, no. 2. Springer, pp. 405–424, 2012.","chicago":"Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-012-1436-9\">https://doi.org/10.1007/s00220-012-1436-9</a>.","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>","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>","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."},"oa":1,"date_updated":"2021-01-12T06:57:15Z","extern":1,"page":"405 - 424"},{"extern":1,"page":"86 - 91","date_created":"2018-12-11T11:57:27Z","abstract":[{"lang":"eng","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,∞]."}],"type":"journal_article","title":"Further implications of the Bessis-Moussa-Villani conjecture","year":"2012","citation":{"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>","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>.","ieee":"É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani conjecture,” <i>Journal of Statistical Physics</i>, vol. 149, no. 1. Springer, pp. 86–91, 2012.","mla":"Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” <i>Journal of Statistical Physics</i>, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:<a href=\"https://doi.org/10.1007/s10955-012-0585-8\">10.1007/s10955-012-0585-8</a>.","ista":"Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91.","short":"É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 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>"},"publist_id":"4525","oa":1,"date_updated":"2021-01-12T06:57:16Z","doi":"10.1007/s10955-012-0585-8","publisher":"Springer","month":"10","status":"public","main_file_link":[{"url":"http://arxiv.org/abs/1206.0460","open_access":"1"}],"volume":149,"author":[{"last_name":"Lieb","first_name":"Élliott","full_name":"Lieb, Élliott H"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer"}],"date_published":"2012-10-01T00:00:00Z","publication":"Journal of Statistical Physics","quality_controlled":0,"publication_status":"published","intvolume":"       149","issue":"1","day":"01","_id":"2401"},{"date_created":"2018-12-11T11:57:27Z","abstract":[{"lang":"eng","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."}],"year":"2012","title":"Lieb-Thirring inequality for a model of particles with point interactions","type":"journal_article","citation":{"apa":"Frank, R., &#38; Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. <i>Journal of Mathematical Physics</i>. American Institute of Physics. <a href=\"https://doi.org/10.1063/1.3697416\">https://doi.org/10.1063/1.3697416</a>","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>.","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.","ista":"Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).","short":"R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).","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>"},"oa":1,"publist_id":"4524","date_updated":"2021-01-12T06:57:16Z","extern":1,"doi":"10.1063/1.3697416","publisher":"American Institute of Physics","author":[{"last_name":"Frank","first_name":"Rupert","full_name":"Frank, Rupert L"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","last_name":"Seiringer"}],"date_published":"2012-09-28T00:00:00Z","month":"09","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1112.5617"}],"status":"public","volume":53,"intvolume":"        53","issue":"9","day":"28","_id":"2402","publication":"Journal of Mathematical Physics","quality_controlled":0,"publication_status":"published"},{"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"}],"date_created":"2018-12-11T11:57:28Z","type":"journal_article","title":"Disordered Bose-Einstein condensates with interaction in one dimension","year":"2012","oa":1,"publist_id":"4523","citation":{"mla":"Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:<a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">10.1088/1742-5468/2012/11/P11007</a>.","ieee":"R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2012, no. 11. IOP Publishing Ltd., 2012.","chicago":"Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical Mechanics Theory and Experiment</i>. IOP Publishing Ltd., 2012. <a href=\"https://doi.org/10.1088/1742-5468/2012/11/P11007\">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>.","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>","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>","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).","short":"R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012)."},"date_updated":"2021-01-12T06:57:16Z","extern":1,"doi":"10.1088/1742-5468/2012/11/P11007","publisher":"IOP Publishing Ltd.","author":[{"last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"last_name":"Yngvason","first_name":"Jakob","full_name":"Yngvason, Jakob"},{"last_name":"Zagrebnov","full_name":"Zagrebnov, Valentin A","first_name":"Valentin"}],"date_published":"2012-11-01T00:00:00Z","month":"11","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1207.7054"}],"status":"public","volume":2012,"intvolume":"      2012","issue":"11","day":"01","_id":"2403","publication":"Journal of Statistical Mechanics Theory and Experiment","quality_controlled":0,"publication_status":"published"},{"date_published":"2012-02-28T00:00:00Z","author":[{"first_name":"Régis","full_name":"de la Bretèche, Régis","last_name":"De La Bretèche"},{"first_name":"Timothy D","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning","orcid":"0000-0002-8314-0177"}],"status":"public","month":"02","volume":191,"issue":"2","day":"28","intvolume":"       191","_id":"241","publication":"Israel Journal of Mathematics","publication_status":"published","quality_controlled":0,"year":"2012","type":"journal_article","title":"Binary forms as sums of two squares and Châtelet surfaces","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."}],"date_created":"2018-12-11T11:45:23Z","date_updated":"2021-01-12T06:57:19Z","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.","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>.","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.","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>","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>."},"publist_id":"7663","extern":1,"page":"973 - 1012","doi":"10.1007/s11856-012-0019-y","publisher":"Springer"},{"doi":"10.1093/molbev/msr285","publisher":"Oxford University Press","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","pubrep_id":"384","page":"1319 - 1334","file":[{"file_name":"IST-2015-384-v1+1_Mol_Biol_Evol-2012-Ebersberger-1319-34.pdf","date_created":"2018-12-12T10:13:30Z","date_updated":"2020-07-14T12:45:40Z","file_id":"5013","file_size":754922,"creator":"system","checksum":"d565dcac27d1736c0c378ea6fcf22d69","access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"title":"A consistent phylogenetic backbone for the fungi","year":"2012","isi":1,"quality_controlled":"1","publication_status":"published","file_date_updated":"2020-07-14T12:45:40Z","issue":"5","_id":"2411","month":"05","status":"public","author":[{"last_name":"Ebersberger","first_name":"Ingo","full_name":"Ebersberger, Ingo"},{"full_name":"De Matos Simoes, Ricardo","first_name":"Ricardo","last_name":"De Matos Simoes"},{"id":"2BB22BC2-F248-11E8-B48F-1D18A9856A87","full_name":"Kupczok, Anne","first_name":"Anne","last_name":"Kupczok"},{"last_name":"Gube","first_name":"Matthias","full_name":"Gube, Matthias"},{"first_name":"Erika","full_name":"Kothe, Erika","last_name":"Kothe"},{"full_name":"Voigt, Kerstin","first_name":"Kerstin","last_name":"Voigt"},{"first_name":"Arndt","full_name":"Von Haeseler, Arndt","last_name":"Von Haeseler"}],"oa_version":"Published Version","scopus_import":"1","article_processing_charge":"No","date_created":"2018-12-11T11:57:30Z","abstract":[{"text":"The kingdom of fungi provides model organisms for biotechnology, cell biology, genetics, and life sciences in general. Only when their phylogenetic relationships are stably resolved, can individual results from fungal research be integrated into a holistic picture of biology. However, and despite recent progress, many deep relationships within the fungi remain unclear. Here, we present the first phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion to strengthen phylogenetic conclusions. We reason that branches (splits) recovered with independent data and different tree reconstruction methods are likely to reflect true evolutionary relationships. Two complementary phylogenomic data sets based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed with four different tree reconstruction methods shed light from different angles on the fungal tree of life. Eleven additional data sets address specifically the phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes, respectively. The combined evidence from the resulting trees supports the deep-level stability of the fungal groups toward a comprehensive natural system of the fungi. In addition, our analysis reveals methodologically interesting aspects. Enrichment for EST encoded data-a common practice in phylogenomic analyses-introduces a strong bias toward slowly evolving and functionally correlated genes. Consequently, the generalization of phylogenomic data sets as collections of randomly selected genes cannot be taken for granted. A thorough characterization of the data to assess possible influences on the tree reconstruction should therefore become a standard in phylogenomic analyses.","lang":"eng"}],"type":"journal_article","publist_id":"4515","citation":{"ama":"Ebersberger I, De Matos Simoes R, Kupczok A, et al. A consistent phylogenetic backbone for the fungi. <i>Molecular Biology and Evolution</i>. 2012;29(5):1319-1334. doi:<a href=\"https://doi.org/10.1093/molbev/msr285\">10.1093/molbev/msr285</a>","ista":"Ebersberger I, De Matos Simoes R, Kupczok A, Gube M, Kothe E, Voigt K, Von Haeseler A. 2012. A consistent phylogenetic backbone for the fungi. Molecular Biology and Evolution. 29(5), 1319–1334.","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.","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>.","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>","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>.","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."},"oa":1,"date_updated":"2025-09-30T08:21:34Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","image":"/images/cc_by_nc.png","short":"CC BY-NC (4.0)"},"publication":"Molecular Biology and Evolution","external_id":{"isi":["000303603300004"]},"has_accepted_license":"1","intvolume":"        29","day":"01","department":[{"_id":"JoBo"}],"ddc":["570","576"],"volume":29,"language":[{"iso":"eng"}],"date_published":"2012-05-01T00:00:00Z"},{"publisher":"Cambridge University Press","doi":"10.1017/S001309151100037X","citation":{"chicago":"Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao. “Averages of Shifted Convolutions of D3 (N).” <i>Proceedings of the Edinburgh Mathematical Society</i>. Cambridge University Press, 2012. <a href=\"https://doi.org/10.1017/S001309151100037X\">https://doi.org/10.1017/S001309151100037X</a>.","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>","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.","mla":"Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” <i>Proceedings of the Edinburgh Mathematical Society</i>, vol. 55, no. 3, Cambridge University Press, 2012, pp. 551–76, doi:<a href=\"https://doi.org/10.1017/S001309151100037X\">10.1017/S001309151100037X</a>.","short":"S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh Mathematical Society 55 (2012) 551–576.","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.","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>"},"publist_id":"7662","oa":1,"date_updated":"2021-01-12T06:57:23Z","date_created":"2018-12-11T11:45:23Z","abstract":[{"text":"We investigate the first and second moments of shifted convolutions of the generalized divisor function d 3(n).","lang":"eng"}],"type":"journal_article","year":"2012","title":"Averages of shifted convolutions of d3 (n)","page":"551 - 576","acknowledgement":"EP/E053262/1\tEngineering and Physical Sciences Research Council","extern":1,"_id":"242","intvolume":"        55","day":"01","issue":"3","publication_status":"published","quality_controlled":0,"publication":"Proceedings of the Edinburgh Mathematical Society","author":[{"last_name":"Baier","full_name":"Baier, Stephan","first_name":"Stephan"},{"orcid":"0000-0002-8314-0177","last_name":"Browning","first_name":"Timothy D","full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Marasingha","first_name":"Gihan","full_name":"Marasingha, Gihan"},{"last_name":"Zhao","first_name":"Liangyi","full_name":"Zhao, Liangyi"}],"date_published":"2012-10-01T00:00:00Z","volume":55,"month":"10","status":"public","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1101.5464"}]},{"page":"1124 - 1190","extern":1,"publist_id":"7661","citation":{"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>.","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>","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>.","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.","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.","ista":"Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190."},"date_updated":"2021-01-12T06:57:26Z","abstract":[{"lang":"eng","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."}],"date_created":"2018-12-11T11:45:24Z","title":"Quadratic polynomials represented by norm forms","year":"2012","type":"journal_article","publisher":"Springer Basel","doi":"10.1007/s00039-012-0168-5","volume":22,"month":"08","status":"public","author":[{"orcid":"0000-0002-8314-0177","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","full_name":"Timothy Browning","first_name":"Timothy D"},{"last_name":"Heath Brown","first_name":"Roger","full_name":"Heath-Brown, Roger"}],"date_published":"2012-08-25T00:00:00Z","quality_controlled":0,"publication_status":"published","publication":"Geometric and Functional Analysis","_id":"243","intvolume":"        22","day":"25","issue":"5"},{"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). ","page":"245 - 265","year":"2012","type":"journal_article","title":"A geometric proof of the colored Tverberg theorem","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"}],"date_created":"2018-12-11T11:57:39Z","date_updated":"2021-01-12T06:57:29Z","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>.","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>","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>.","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.","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>","short":"J. Matoušek, M. Tancer, U. Wagner, Discrete &#38; Computational Geometry 47 (2012) 245–265.","ista":"Matoušek J, Tancer M, Wagner U. 2012. A geometric proof of the colored Tverberg theorem. Discrete &#38; Computational Geometry. 47(2), 245–265."},"publist_id":"4468","doi":"10.1007/s00454-011-9368-2","publisher":"Springer","status":"public","month":"03","volume":47,"date_published":"2012-03-01T00:00:00Z","author":[{"last_name":"Matoušek","first_name":"Jiří","full_name":"Matoušek, Jiří"},{"first_name":"Martin","full_name":"Martin Tancer","id":"38AC689C-F248-11E8-B48F-1D18A9856A87","last_name":"Tancer","orcid":"0000-0002-1191-6714"},{"first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","full_name":"Uli Wagner","last_name":"Wagner","orcid":"0000-0002-1494-0568"}],"publication":"Discrete & Computational Geometry","publication_status":"published","quality_controlled":0,"issue":"2","day":"01","intvolume":"        47","_id":"2438"}]