Jahnel, Benedikt; Köppl, Jonas Dynamical Gibbs variational principles for irreversible interacting particle systems with applications to attractor properties. (English) Zbl 07789642 Ann. Appl. Probab. 33, No. 6A, 4570-4607 (2023). MSC: 82C20 60K35 PDFBibTeX XMLCite \textit{B. Jahnel} and \textit{J. Köppl}, Ann. Appl. Probab. 33, No. 6A, 4570--4607 (2023; Zbl 07789642) Full Text: DOI arXiv
Fan, Chenjie; Xu, Weijun; Zhao, Zehua Long time behavior of stochastic NLS with a small multiplicative noise. (English) Zbl 1528.35158 Commun. Math. Phys. 404, No. 1, 563-595 (2023). MSC: 35Q55 35Q41 35R60 60H40 35P25 35B20 35B35 35B65 PDFBibTeX XMLCite \textit{C. Fan} et al., Commun. Math. Phys. 404, No. 1, 563--595 (2023; Zbl 1528.35158) Full Text: DOI arXiv
Boßmann, Lea; Petrat, Sören Weak Edgeworth expansion for the mean-field Bose gas. (English) Zbl 07724004 Lett. Math. Phys. 113, No. 4, Paper No. 77, 38 p. (2023). MSC: 81V73 60F05 81V70 35P15 65F35 70B05 35P10 PDFBibTeX XMLCite \textit{L. Boßmann} and \textit{S. Petrat}, Lett. Math. Phys. 113, No. 4, Paper No. 77, 38 p. (2023; Zbl 07724004) Full Text: DOI arXiv
Tzvetkov, N.; Visciglia, N. Global dynamics of the \(2d\) NLS with white noise potential and generic polynomial nonlinearity. (English) Zbl 1519.35307 Commun. Math. Phys. 401, No. 3, 3109-3121 (2023). MSC: 35Q55 35Q41 60H40 35A09 35R60 PDFBibTeX XMLCite \textit{N. Tzvetkov} and \textit{N. Visciglia}, Commun. Math. Phys. 401, No. 3, 3109--3121 (2023; Zbl 1519.35307) Full Text: DOI arXiv
Nahmod, Andrea R. (ed.); Staffilani, Gigliola (ed.); Weber, Hendrik (ed.); Wu, Sijue (ed.) Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22–28, 2022. (English) Zbl 1519.00026 Oberwolfach Rep. 19, No. 2, 1431-1499 (2022). MSC: 00B05 00B25 35-06 37-06 60-06 60Hxx 37M10 35R60 PDFBibTeX XMLCite \textit{A. R. Nahmod} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1431--1499 (2022; Zbl 1519.00026) Full Text: DOI
Maeda, Masaya Asymptotic stability of small bound state of nonlinear quantum walks. (English) Zbl 1507.81196 Physica D 439, Article ID 133408, 14 p. (2022). MSC: 81V45 60G50 35B35 35B32 35P15 81U05 PDFBibTeX XMLCite \textit{M. Maeda}, Physica D 439, Article ID 133408, 14 p. (2022; Zbl 1507.81196) Full Text: DOI arXiv
Duerinckx, Mitia On nonlinear Schrödinger equations with random initial data. (English) Zbl 1496.35359 Math. Eng. (Springfield) 4, No. 4, Paper No. 30, 14 p. (2022). MSC: 35Q55 76F55 60G60 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{M. Duerinckx}, Math. Eng. (Springfield) 4, No. 4, Paper No. 30, 14 p. (2022; Zbl 1496.35359) Full Text: DOI
Rademacher, Simone; Seiringer, Robert Large deviation estimates for weakly interacting bosons. (English) Zbl 1508.35188 J. Stat. Phys. 188, No. 1, Paper No. 9, 21 p. (2022). MSC: 35Q82 35Q55 35Q41 82C10 82C31 81V73 81V70 60F10 PDFBibTeX XMLCite \textit{S. Rademacher} and \textit{R. Seiringer}, J. Stat. Phys. 188, No. 1, Paper No. 9, 21 p. (2022; Zbl 1508.35188) Full Text: DOI arXiv
Karatzas, I.; Schachermayer, W.; Tschiderer, B. A trajectorial approach to the gradient flow properties of Langevin-Smoluchowski diffusions. (English) Zbl 1480.60237 Theory Probab. Appl. 66, No. 4, 668-707 (2022) and Teor. Veroyatn. Primen. 66, No. 4, 839-888 (2021). MSC: 60J60 60H10 60J65 PDFBibTeX XMLCite \textit{I. Karatzas} et al., Theory Probab. Appl. 66, No. 4, 668--707 (2022; Zbl 1480.60237) Full Text: DOI arXiv
Zhao, Xiaofei Numerical integrators for continuous disordered nonlinear Schrödinger equation. (English) Zbl 1482.35222 J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021). MSC: 35Q55 35Q41 35B65 65L20 65L70 65M06 65M12 65M15 65T50 65P10 60H40 82C44 35R60 PDFBibTeX XMLCite \textit{X. Zhao}, J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021; Zbl 1482.35222) Full Text: DOI arXiv
Bringmann, Bjoern; Mendelson, Dana An eigensystem approach to Anderson localization for multi-particle systems. (English) Zbl 1489.82042 Ann. Henri Poincaré 22, No. 10, 3255-3290 (2021). MSC: 82B44 47B80 60H25 81Q10 PDFBibTeX XMLCite \textit{B. Bringmann} and \textit{D. Mendelson}, Ann. Henri Poincaré 22, No. 10, 3255--3290 (2021; Zbl 1489.82042) Full Text: DOI arXiv
Fan, Chenjie; Xu, Weijun Decay of the stochastic linear Schrödinger equation in \(d\geq3\) with small multiplicative noise. (English) Zbl 1476.35216 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 472-490 (2021). MSC: 35Q41 35B40 60H40 60J65 35R60 PDFBibTeX XMLCite \textit{C. Fan} and \textit{W. Xu}, Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 2, 472--490 (2021; Zbl 1476.35216) Full Text: DOI arXiv
Duerinckx, Mitia; Shirley, Christopher A new spectral analysis of stationary random Schrödinger operators. (English) Zbl 1472.81092 J. Math. Phys. 62, No. 7, Article ID 072106, 50 p. (2021). Reviewer: Eric Stachura (Marietta) MSC: 81Q10 35R60 81V70 82B44 14D06 35B34 60H07 PDFBibTeX XMLCite \textit{M. Duerinckx} and \textit{C. Shirley}, J. Math. Phys. 62, No. 7, Article ID 072106, 50 p. (2021; Zbl 1472.81092) Full Text: DOI arXiv
Brzeźniak, Zdzisław; Hornung, Fabian; Weis, Lutz Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space. (English) Zbl 1420.35276 Probab. Theory Relat. Fields 174, No. 3-4, 1273-1338 (2019). MSC: 35Q41 35R60 60H15 60H30 42B25 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., Probab. Theory Relat. Fields 174, No. 3--4, 1273--1338 (2019; Zbl 1420.35276) Full Text: DOI arXiv
Arras, Benjamin; Swan, Yvik A stroll along the gamma. (English) Zbl 1381.60058 Stochastic Processes Appl. 127, No. 11, 3661-3688 (2017). MSC: 60E15 26D10 60B10 PDFBibTeX XMLCite \textit{B. Arras} and \textit{Y. Swan}, Stochastic Processes Appl. 127, No. 11, 3661--3688 (2017; Zbl 1381.60058) Full Text: DOI arXiv
Toscani, Giuseppe Entropy inequalities for stable densities and strengthened central limit theorems. (English) Zbl 1356.60039 J. Stat. Phys. 165, No. 2, 371-389 (2016). MSC: 60F05 94A17 26A33 PDFBibTeX XMLCite \textit{G. Toscani}, J. Stat. Phys. 165, No. 2, 371--389 (2016; Zbl 1356.60039) Full Text: DOI arXiv
Ball, Keith; Nayar, Piotr; Tkocz, Tomasz A reverse entropy power inequality for log-concave random vectors. (English) Zbl 1407.94055 Stud. Math. 235, No. 1, 17-30 (2016). MSC: 94A17 52A40 60E15 PDFBibTeX XMLCite \textit{K. Ball} et al., Stud. Math. 235, No. 1, 17--30 (2016; Zbl 1407.94055) Full Text: DOI arXiv
Bobkov, S. G.; Chistyakov, G. P.; Götze, F. Regularized distributions and entropic stability of Cramer’s characterization of the normal law. (English) Zbl 1387.60020 Stochastic Processes Appl. 126, No. 12, 3865-3887 (2016). MSC: 60E05 62E10 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Stochastic Processes Appl. 126, No. 12, 3865--3887 (2016; Zbl 1387.60020) Full Text: DOI arXiv
Toscani, Giuseppe The fractional Fisher information and the central limit theorem for stable laws. (English) Zbl 1366.60064 Ric. Mat. 65, No. 1, 71-91 (2016). MSC: 60F05 26A33 94A17 PDFBibTeX XMLCite \textit{G. Toscani}, Ric. Mat. 65, No. 1, 71--91 (2016; Zbl 1366.60064) Full Text: DOI arXiv
Elgart, Alexandr; Schmidt, Daniel Eigenvalue counting inequalities, with applications to Schrödinger operators. (English) Zbl 1335.15022 J. Spectr. Theory 5, No. 2, 251-278 (2015). Reviewer: C. M. da Fonseca (Safat) MSC: 15A42 15B57 35J10 60H25 PDFBibTeX XMLCite \textit{A. Elgart} and \textit{D. Schmidt}, J. Spectr. Theory 5, No. 2, 251--278 (2015; Zbl 1335.15022) Full Text: DOI arXiv
Donninger, Roland; Schörkhuber, Birgit A spectral mapping theorem for perturbed Ornstein-Uhlenbeck operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1321.47096 J. Funct. Anal. 268, No. 9, 2479-2524 (2015). MSC: 47D06 37H10 60H15 47F05 PDFBibTeX XMLCite \textit{R. Donninger} and \textit{B. Schörkhuber}, J. Funct. Anal. 268, No. 9, 2479--2524 (2015; Zbl 1321.47096) Full Text: DOI arXiv
Saumard, Adrien; Wellner, Jon A. Log-concavity and strong log-concavity: a review. (English) Zbl 1360.62055 Stat. Surv. 8, 45-114 (2014). Reviewer: Fraser Daly (Edinburgh) MSC: 62E10 62H05 60E15 PDFBibTeX XMLCite \textit{A. Saumard} and \textit{J. A. Wellner}, Stat. Surv. 8, 45--114 (2014; Zbl 1360.62055) Full Text: DOI arXiv Euclid Backlinks: MO
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich Berry-Esseen bounds in the entropic central limit theorem. (English) Zbl 1307.60011 Probab. Theory Relat. Fields 159, No. 3-4, 435-478 (2014). MSC: 60F05 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., Probab. Theory Relat. Fields 159, No. 3--4, 435--478 (2014; Zbl 1307.60011) Full Text: DOI arXiv
Nourdin, Ivan; Peccati, Giovanni; Swan, Yvik Entropy and the fourth moment phenomenon. (English) Zbl 1292.94010 J. Funct. Anal. 266, No. 5, 3170-3207 (2014). MSC: 94A17 60F05 PDFBibTeX XMLCite \textit{I. Nourdin} et al., J. Funct. Anal. 266, No. 5, 3170--3207 (2014; Zbl 1292.94010) Full Text: DOI arXiv Link
Dolera, Emanuele Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law. (English) Zbl 1286.60024 J. Inequal. Appl. 2013, Paper No. 320, 21 p. (2013). MSC: 60F05 60G50 PDFBibTeX XMLCite \textit{E. Dolera}, J. Inequal. Appl. 2013, Paper No. 320, 21 p. (2013; Zbl 1286.60024) Full Text: DOI
Wellner, Jon A. Strong log-concavity is preserved by convolution. (English) Zbl 1271.60034 Houdré, Christian (ed.) et al., High dimensional probability VI. The Banff volume. Proceedings of the sixth high dimensional probability conference (HDP VI), Banff, Canada, October 9–14, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0489-9/hbk; 978-3-0348-0490-5/ebook). Progress in Probability 66, 95-102 (2013). MSC: 60E15 26D15 PDFBibTeX XMLCite \textit{J. A. Wellner}, Prog. Probab. 66, 95--102 (2013; Zbl 1271.60034) Full Text: DOI
Barthe, Franck Autour de l’inégalité de Brunn-Minkowski. (Around the Brunn-Minkowski inequality.) (French) Zbl 1052.52002 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 12, No. 2, 127-178 (2003). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A40 26D20 60E99 60F99 52-02 PDFBibTeX XMLCite \textit{F. Barthe}, Ann. Fac. Sci. Toulouse, Math. (6) 12, No. 2, 127--178 (2003; Zbl 1052.52002) Full Text: DOI Numdam Numdam EuDML
Ball, Keith; Barthe, Franck; Naor, Assaf Entropy jumps in the presence of a spectral gap. (English) Zbl 1036.94003 Duke Math. J. 119, No. 1, 41-63 (2003). Reviewer: Arjun K. Gupta (Bowling Green) MSC: 94A17 60F05 PDFBibTeX XMLCite \textit{K. Ball} et al., Duke Math. J. 119, No. 1, 41--63 (2003; Zbl 1036.94003) Full Text: DOI
Johnson, Oliver Entropy inequalities and the central limit theorem. (English) Zbl 1045.60023 Stochastic Processes Appl. 88, No. 2, 291-304 (2000). Reviewer: Petr Lachout (Praha) MSC: 60F05 94A17 62B10 PDFBibTeX XMLCite \textit{O. Johnson}, Stochastic Processes Appl. 88, No. 2, 291--304 (2000; Zbl 1045.60023) Full Text: DOI
Otto, F.; Villani, C. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality. (English) Zbl 0985.58019 J. Funct. Anal. 173, No. 2, 361-400 (2000). MSC: 58J65 28A35 60E15 60G15 PDFBibTeX XMLCite \textit{F. Otto} and \textit{C. Villani}, J. Funct. Anal. 173, No. 2, 361--400 (2000; Zbl 0985.58019) Full Text: DOI
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