--- _id: '2314' abstract: - lang: eng text: Autism spectrum disorders are a genetically heterogeneous constellation of syndromes characterized by impairments in reciprocal social interaction. Available somatic treatments have limited efficacy. We have identified inactivating mutations in the gene BCKDK (Branched Chain Ketoacid Dehydrogenase Kinase) in consanguineous families with autism, epilepsy, and intellectual disability. The encoded protein is responsible for phosphorylation-mediated inactivation of the E1α subunit of branched-chain ketoacid dehydrogenase (BCKDH). Patients with homozygous BCKDK mutations display reductions in BCKDK messenger RNA and protein, E1α phosphorylation, and plasma branched-chain amino acids. Bckdk knockout mice show abnormal brain amino acid profiles and neurobehavioral deficits that respond to dietary supplementation. Thus, autism presenting with intellectual disability and epilepsy caused by BCKDK mutations represents a potentially treatable syndrome. author: - first_name: Gaia full_name: Gaia Novarino id: 3E57A680-F248-11E8-B48F-1D18A9856A87 last_name: Novarino orcid: 0000-0002-7673-7178 - first_name: Paul full_name: El-Fishawy, Paul last_name: El Fishawy - first_name: Hülya full_name: Kayserili, Hülya last_name: Kayserili - first_name: Nagwa full_name: Meguid, Nagwa A last_name: Meguid - first_name: Eric full_name: Scott, Eric M last_name: Scott - first_name: Jana full_name: Schroth, Jana last_name: Schroth - first_name: Jennifer full_name: Silhavy, Jennifer L last_name: Silhavy - first_name: Majdi full_name: Kara, Majdi last_name: Kara - first_name: Rehab full_name: Khalil, Rehab O last_name: Khalil - first_name: Tawfeg full_name: Ben-Omran, Tawfeg I last_name: Ben Omran - first_name: Adife full_name: Ercan-Sencicek, Adife G last_name: Ercan Sencicek - first_name: Adel full_name: Hashish, Adel F last_name: Hashish - first_name: Stephan full_name: Sanders, Stephan J last_name: Sanders - first_name: Abha full_name: Gupta, Abha R last_name: Gupta - first_name: Hebatalla full_name: Hashem, Hebatalla S last_name: Hashem - first_name: Dietrich full_name: Matern, Dietrich last_name: Matern - first_name: Stacey full_name: Gabriel, Stacey B last_name: Gabriel - first_name: Lawrence full_name: Sweetman, Lawrence last_name: Sweetman - first_name: Yasmeen full_name: Rahimi, Yasmeen last_name: Rahimi - first_name: Robert full_name: Harris, Robert A last_name: Harris - first_name: Matthew full_name: State, Matthew W last_name: State - first_name: Joseph full_name: Gleeson, Joseph G last_name: Gleeson citation: ama: Novarino G, El Fishawy P, Kayserili H, et al. Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy. Science. 2012;338(6105):394-397. doi:10.1126/science.1224631 apa: Novarino, G., El Fishawy, P., Kayserili, H., Meguid, N., Scott, E., Schroth, J., … Gleeson, J. (2012). Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy. Science. American Association for the Advancement of Science. https://doi.org/10.1126/science.1224631 chicago: Novarino, Gaia, Paul El Fishawy, Hülya Kayserili, Nagwa Meguid, Eric Scott, Jana Schroth, Jennifer Silhavy, et al. “Mutations in BCKD-Kinase Lead to a Potentially Treatable Form of Autism with Epilepsy.” Science. American Association for the Advancement of Science, 2012. https://doi.org/10.1126/science.1224631. ieee: G. Novarino et al., “Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy,” Science, vol. 338, no. 6105. American Association for the Advancement of Science, pp. 394–397, 2012. ista: Novarino G, El Fishawy P, Kayserili H, Meguid N, Scott E, Schroth J, Silhavy J, Kara M, Khalil R, Ben Omran T, Ercan Sencicek A, Hashish A, Sanders S, Gupta A, Hashem H, Matern D, Gabriel S, Sweetman L, Rahimi Y, Harris R, State M, Gleeson J. 2012. Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy. Science. 338(6105), 394–397. mla: Novarino, Gaia, et al. “Mutations in BCKD-Kinase Lead to a Potentially Treatable Form of Autism with Epilepsy.” Science, vol. 338, no. 6105, American Association for the Advancement of Science, 2012, pp. 394–97, doi:10.1126/science.1224631. short: G. Novarino, P. El Fishawy, H. Kayserili, N. Meguid, E. Scott, J. Schroth, J. Silhavy, M. Kara, R. Khalil, T. Ben Omran, A. Ercan Sencicek, A. Hashish, S. Sanders, A. Gupta, H. Hashem, D. Matern, S. Gabriel, L. Sweetman, Y. Rahimi, R. Harris, M. State, J. Gleeson, Science 338 (2012) 394–397. date_created: 2018-12-11T11:56:56Z date_published: 2012-10-19T00:00:00Z date_updated: 2021-01-12T06:56:43Z day: '19' doi: 10.1126/science.1224631 extern: 1 intvolume: ' 338' issue: '6105' month: '10' page: 394 - 397 publication: Science publication_status: published publisher: American Association for the Advancement of Science publist_id: '4613' quality_controlled: 0 status: public title: Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy type: journal_article volume: 338 year: '2012' ... --- _id: '2318' 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. ' acknowledgement: 'Partial financial support by NSERC ' author: - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Seiringer R. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2012;2(3):321-328. doi:10.4171/JST/31 apa: Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. European Mathematical Society. https://doi.org/10.4171/JST/31 chicago: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory. European Mathematical Society, 2012. https://doi.org/10.4171/JST/31. ieee: R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” Journal of Spectral Theory, vol. 2, no. 3. European Mathematical Society, pp. 321–328, 2012. ista: Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328. mla: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31. short: R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328. date_created: 2018-12-11T11:56:58Z date_published: 2012-06-24T00:00:00Z date_updated: 2021-01-12T06:56:44Z day: '24' department: - _id: RoSe doi: 10.4171/JST/31 intvolume: ' 2' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: http://arxiv.org/abs/1204.0435 month: '06' oa: 1 oa_version: Preprint page: 321-328 publication: Journal of Spectral Theory publication_status: published publisher: European Mathematical Society publist_id: '4609' quality_controlled: '1' status: public title: Absence of bound states implies non-negativity of the scattering length type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 2 year: '2012' ... --- _id: '2317' 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. ' author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jan full_name: Solovej, Jan P last_name: Solovej citation: ama: 'Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of the Ginzburg-Landau model. In: World Scientific Publishing; 2012:575-583. doi:10.1142/9789814449243_0060' apa: 'Frank, R., Hainzl, C., Seiringer, R., & 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. https://doi.org/10.1142/9789814449243_0060' chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0060. 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.' mla: Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model. World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060. short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583. conference: name: 'ICMP: International Congress on Mathematical Physics' date_created: 2018-12-11T11:56:57Z date_published: 2012-08-01T00:00:00Z date_updated: 2021-01-12T06:56:44Z day: '01' doi: 10.1142/9789814449243_0060 extern: 1 main_file_link: - open_access: '1' url: http://arxiv.org/abs/1209.1080 month: '08' oa: 1 page: 575 - 583 publication_status: published publisher: World Scientific Publishing publist_id: '4610' quality_controlled: 0 status: public title: Microscopic derivation of the Ginzburg-Landau model type: conference year: '2012' ... --- _id: '2316' abstract: - lang: eng text: 'We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density. ' author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Élliott full_name: Lieb, Élliott H last_name: Lieb - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Lawrence full_name: Thomas, Lawrence E last_name: Thomas citation: ama: 'Frank R, Lieb É, Seiringer R, Thomas L. Ground state properties of multi-polaron systems. In: World Scientific Publishing; 2012:477-485. doi:10.1142/9789814449243_0045' apa: 'Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2012). Ground state properties of multi-polaron systems (pp. 477–485). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0045' chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0045. ieee: 'R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Ground state properties of multi-polaron systems,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 477–485.' ista: 'Frank R, Lieb É, Seiringer R, Thomas L. 2012. Ground state properties of multi-polaron systems. ICMP: International Congress on Mathematical Physics, 477–485.' mla: Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems. World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045. short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485. conference: name: 'ICMP: International Congress on Mathematical Physics' date_created: 2018-12-11T11:56:57Z date_published: 2012-08-01T00:00:00Z date_updated: 2021-01-12T06:56:44Z day: '01' doi: 10.1142/9789814449243_0045 extern: 1 main_file_link: - open_access: '1' url: http://arxiv.org/abs/1209.3717 month: '08' oa: 1 page: 477 - 485 publication_status: published publisher: World Scientific Publishing publist_id: '4611' quality_controlled: 0 status: public title: Ground state properties of multi-polaron systems type: conference year: '2012' ... --- _id: '237' 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. acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council" 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 - first_name: Emmanuel full_name: Peyre, Emmanuel last_name: Peyre citation: ama: De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 2012;175(1):297-343. doi:10.4007/annals.2012.175.1.8 apa: De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.1.8 chicago: De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics. Princeton University Press, 2012. https://doi.org/10.4007/annals.2012.175.1.8. ieee: R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” Annals of Mathematics, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012. 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. mla: De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics, vol. 175, no. 1, Princeton University Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8. short: R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012) 297–343. date_created: 2018-12-11T11:45:22Z date_published: 2012-01-01T00:00:00Z date_updated: 2021-01-12T06:57:04Z day: '01' doi: 10.4007/annals.2012.175.1.8 extern: 1 intvolume: ' 175' issue: '1' month: '01' page: 297 - 343 publication: Annals of Mathematics publication_status: published publisher: Princeton University Press publist_id: '7667' quality_controlled: 0 status: public title: On Manin's conjecture for a family of Châtelet surfaces type: journal_article volume: 175 year: '2012' ... --- _id: '238' abstract: - lang: eng text: For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q. acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council" author: - first_name: Stephan full_name: Baier, Stephan last_name: Baier - first_name: Timothy D full_name: Timothy Browning id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 citation: ama: Baier S, Browning TD. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 2012;47(2):267-286. doi:10.7169/facm/2012.47.2.9 apa: Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press. https://doi.org/10.7169/facm/2012.47.2.9 chicago: Baier, Stephan, and Timothy D Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press, 2012. https://doi.org/10.7169/facm/2012.47.2.9. ieee: S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012. ista: Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286. mla: Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9. short: S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici 47 (2012) 267–286. date_created: 2018-12-11T11:45:22Z date_published: 2012-12-20T00:00:00Z date_updated: 2021-01-12T06:57:08Z day: '20' doi: 10.7169/facm/2012.47.2.9 extern: 1 intvolume: ' 47' issue: '2' month: '12' page: 267 - 286 publication: Functiones et Approximatio, Commentarii Mathematici publication_status: published publisher: Adam Mickiewicz University Press publist_id: '7666' quality_controlled: 0 status: public title: Inhomogeneous quadratic congruences type: journal_article volume: 47 year: '2012' ... --- _id: '2399' 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. alternative_title: - Lecture Notes in Mathematics author: - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: 'Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau V, Seiringer R, Solovej J, Spencer T, eds. Quantum Many Body Systems. Vol 2051. Springer; 2012:55-92. doi:10.1007/978-3-642-29511-9_2' apa: Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In V. Rivasseau, R. Seiringer, J. Solovej, & T. Spencer (Eds.), Quantum Many Body Systems (Vol. 2051, pp. 55–92). Springer. https://doi.org/10.1007/978-3-642-29511-9_2 chicago: Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2. ieee: R. Seiringer, “Cold quantum gases and bose einstein condensation,” in Quantum Many Body Systems, 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.' mla: Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2. short: R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92. date_created: 2018-12-11T11:57:26Z date_published: 2012-01-01T00:00:00Z date_updated: 2021-01-12T06:57:14Z day: '01' doi: 10.1007/978-3-642-29511-9_2 editor: - first_name: Vincent full_name: Rivasseau, Vincent last_name: Rivasseau - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jan full_name: Solovej, Jan P last_name: Solovej - first_name: Thomas full_name: Spencer, Thomas last_name: Spencer extern: 1 intvolume: ' 2051' month: '01' page: 55 - 92 publication: Quantum Many Body Systems publication_status: published publisher: Springer publist_id: '4526' quality_controlled: 0 status: public title: Cold quantum gases and bose einstein condensation type: book_chapter volume: 2051 year: '2012' ... --- _id: '2394' abstract: - lang: eng 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) > 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. author: - first_name: Abraham full_name: Freiji, Abraham last_name: Freiji - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Freiji A, Hainzl C, Seiringer R. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 2012;53(1). doi:10.1063/1.3670747 apa: Freiji, A., Hainzl, C., & Seiringer, R. (2012). The gap equation for spin-polarized fermions. Journal of Mathematical Physics. American Institute of Physics. https://doi.org/10.1063/1.3670747 chicago: Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3670747. ieee: A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized fermions,” Journal of Mathematical Physics, vol. 53, no. 1. American Institute of Physics, 2012. ista: Freiji A, Hainzl C, Seiringer R. 2012. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 53(1). mla: Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012, doi:10.1063/1.3670747. short: A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012). date_created: 2018-12-11T11:57:25Z date_published: 2012-01-01T00:00:00Z date_updated: 2021-01-12T06:57:13Z day: '01' doi: 10.1063/1.3670747 extern: 1 intvolume: ' 53' issue: '1' month: '01' publication: Journal of Mathematical Physics publication_status: published publisher: American Institute of Physics publist_id: '4532' quality_controlled: 0 status: public title: The gap equation for spin-polarized fermions type: journal_article volume: 53 year: '2012' ... --- _id: '2395' 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. ' author: - first_name: Rupert full_name: Frank, Rupert L last_name: Frank - first_name: Christian full_name: Hainzl, Christian last_name: Hainzl - first_name: Robert full_name: Robert Seiringer id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 - first_name: Jan full_name: Solovej, Jan P last_name: Solovej citation: ama: Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 2012;25(3):667-713. doi:10.1090/S0894-0347-2012-00735-8 apa: Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-2012-00735-8 chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0894-0347-2012-00735-8. ieee: R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of Ginzburg-Landau theory,” Journal of the American Mathematical Society, vol. 25, no. 3. American Mathematical Society, pp. 667–713, 2012. 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.” Journal of the American Mathematical Society, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8. short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713. date_created: 2018-12-11T11:57:25Z date_published: 2012-01-01T00:00:00Z date_updated: 2021-01-12T06:57:13Z day: '01' doi: 10.1090/S0894-0347-2012-00735-8 extern: 1 intvolume: ' 25' issue: '3' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1102.4001 month: '01' oa: 1 page: 667 - 713 publication: Journal of the American Mathematical Society publication_status: published publisher: American Mathematical Society publist_id: '4531' quality_controlled: 0 status: public title: Microscopic derivation of Ginzburg-Landau theory type: journal_article volume: 25 year: '2012' ... --- _id: '2396' 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. 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 citation: ama: Landon B, Seiringer R. The scattering length at positive temperature. Letters in Mathematical Physics. 2012;100(3):237-243. doi:10.1007/s11005-012-0566-5 apa: Landon, B., & Seiringer, R. (2012). The scattering length at positive temperature. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-012-0566-5 chicago: Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-012-0566-5. ieee: B. Landon and R. Seiringer, “The scattering length at positive temperature,” Letters in Mathematical Physics, 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. mla: Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:10.1007/s11005-012-0566-5. short: B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243. date_created: 2018-12-11T11:57:25Z date_published: 2012-06-01T00:00:00Z date_updated: 2021-01-12T06:57:13Z day: '01' doi: 10.1007/s11005-012-0566-5 extern: 1 intvolume: ' 100' issue: '3' main_file_link: - open_access: '1' url: http://arxiv.org/abs/1111.1683 month: '06' oa: 1 page: 237 - 243 publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '4529' quality_controlled: 0 status: public title: The scattering length at positive temperature type: journal_article volume: 100 year: '2012' ...