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Number of items: 15.
Ammari, Zied, Farhat, Shahnaz and Sohinger, Vedran (2023) Invariant measures as probabilistic tools in the analysis of nonlinear ODEs and PDEs. In: INdAM Quantum Meetings (IQM22), Milan, Italy, Mar-May 2022. Published in: Proceedings of IQM22 , 57 pp. 301-317. ISBN 9789819958931. doi:10.1007/978-981-99-5894-8_12 ISSN 2281-518X.
Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin and Sohinger, Vedran (2023) Interacting loop ensembles and Bose gases. Annales Henri Poincare, 24 . pp. 1439-1503. doi:10.1007/s00023-022-01238-1 ISSN 1424-0637.
Ammari, Zied and Sohinger, Vedran (2023) Gibbs measures as unique KMS equilibrium states of nonlinear Hamiltonian PDEs. Revista Matematica Iberoamericana, 39 (1). pp. 29-90. doi:10.4171/RMI/1366 ISSN 0213-2230.
Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin and Sohinger, Vedran (2023) The Euclidean ϕ42 theory as a limit of an interacting Bose gas. Journal of the European Mathematical Society . ISSN 1435-9855. (In Press)
Rout, Andrew and Sohinger, Vedran (2023) A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation. Communications in Partial Differential Equations, 48 (7-8). pp. 1008-1055. doi:10.1080/03605302.2023.2243491 ISSN 0360-5302.
Sohinger, Vedran (2022) A microscopic derivation of Gibbs measures for nonlinear Schrodinger equations with unbounded interaction potentials. International Mathematics Research Notices, 2022 (19). pp. 14964-15063. doi:10.1093/imrn/rnab132 ISSN 1073-7928.
Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin and Sohinger, Vedran (2022) The mean-field limit of quantum Bose gases at positive temperature. Journal of the American Mathematical Society, 35 . pp. 955-1030. doi:10.1090/jams/987 ISSN 0894-0347.
Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin and Sohinger, Vedran (2020) A path-integral analysis of interacting Bose gases and loop gases. Journal of Statistical Physics, 180 . pp. 810-831. doi:10.1007/s10955-020-02543-x ISSN 0022-4715.
Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin and Sohinger, Vedran (2019) A microscopic derivation of time-dependent correlation functions of the 1D cubic nonlinear Schrödinger equation. Advances in Mathematics, 353 . pp. 67-115. doi:10.1016/j.aim.2019.06.029 ISSN 0001-8708.
Herr, Sebastian and Sohinger, Vedran (2018) Unconditional uniqueness results for the nonlinear Schrödinger equation. Communications in Contemporary Mathematics, 21 (7). 1850058. doi:10.1142/S021919971850058X ISSN 0219-1997.
Fröhlich, Jürg, Knowles, Antti, Schlein, Benjamin and Sohinger, Vedran (2017) Gibbs measures of nonlinear Schrödinger equations as limits of quantum many-body states in dimensions d <=3. Communications in Mathematical Physics, 356 (3). pp. 883-980. doi:10.1007/s00220-017-2994-7 ISSN 0010-3616.
Herr, Sebastian and Sohinger, Vedran (2016) The Gross–Pitaevskii hierarchy on general rectangular Tori. Archive for Rational Mechanics and Analysis, 220 (3). pp. 1119-1158. doi:10.1007/s00205-015-0950-2 ISSN 0003-9527.
Sohinger, Vedran (2016) Local existence of solutions to randomized Gross-Pitaevskii hierarchies. Transactions of the American Mathematical Society, 368 (3). pp. 1759-1835. doi:10.1090/tran/6479 ISSN 0002-9947.
Sohinger, Vedran and Staffilani, Gigliola (2015) Randomization and the Gross–Pitaevskii hierarchy. Archive for Rational Mechanics and Analysis, 218 (1). pp. 417-485. doi:10.1007/s00205-015-0863-0 ISSN 0003-9527.
Gressman, Philip, Sohinger, Vedran and Staffilani, Gigliola (2014) On the uniqueness of solutions to the periodic 3D Gross–Pitaevskii hierarchy. Journal of Functional Analysis, 266 (7). pp. 4705-4764. doi:10.1016/j.jfa.2014.02.006 ISSN 0022-1236.
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