Boßmann, Lea; Petrat, Sören; Pickl, Peter; Soffer, Avy Beyond Bogoliubov dynamics. (English) Zbl 1496.35332 Pure Appl. Anal. 3, No. 4, 677-726 (2021). Reviewer: Ágota Figula (Debrecen) MSC: 35Q40 35Q55 81Q05 82C10 81V70 35C20 35B20 PDFBibTeX XMLCite \textit{L. Boßmann} et al., Pure Appl. Anal. 3, No. 4, 677--726 (2021; Zbl 1496.35332) Full Text: DOI arXiv
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. (English) Zbl 1476.35233 J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021; Zbl 1476.35233) Full Text: DOI arXiv
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. (English) Zbl 1446.35181 J. Stat. Phys. 180, No. 1-6, 910-934 (2020). MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Stat. Phys. 180, No. 1--6, 910--934 (2020; Zbl 1446.35181) Full Text: DOI arXiv
Soffer, Avy; Tran, Minh-Binh On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions. (English) Zbl 1450.45009 Commun. Math. Phys. 376, No. 3, 2229-2276 (2020). MSC: 45K05 82C40 35Q20 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, Commun. Math. Phys. 376, No. 3, 2229--2276 (2020; Zbl 1450.45009) Full Text: DOI arXiv
Boßmann, Lea; Pavlović, Nataša; Pickl, Peter; Soffer, Avy Higher order corrections to the mean-field description of the dynamics of interacting bosons. (English) Zbl 1439.82029 J. Stat. Phys. 178, No. 6, 1362-1396 (2020). MSC: 82C22 82C10 81V10 35Q55 35Q40 PDFBibTeX XMLCite \textit{L. Boßmann} et al., J. Stat. Phys. 178, No. 6, 1362--1396 (2020; Zbl 1439.82029) Full Text: DOI arXiv
Petrat, Sören; Pickl, Peter; Soffer, Avy Derivation of the Bogoliubov time evolution for a large volume mean-field limit. (English) Zbl 1435.35322 Ann. Henri Poincaré 21, No. 2, 461-498 (2020). MSC: 35Q40 35Q55 81Q05 82C10 81V70 PDFBibTeX XMLCite \textit{S. Petrat} et al., Ann. Henri Poincaré 21, No. 2, 461--498 (2020; Zbl 1435.35322) Full Text: DOI arXiv
Chen, Thomas; Soffer, Avy Mean field dynamics of a quantum tracer particle interacting with a boson gas. (English) Zbl 1414.82026 J. Funct. Anal. 276, No. 3, 971-1006 (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C40 81V70 35Q40 82D05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{A. Soffer}, J. Funct. Anal. 276, No. 3, 971--1006 (2019; Zbl 1414.82026) Full Text: DOI arXiv
Soffer, Avy; Tran, Minh-Binh On coupling kinetic and Schrödinger equations. (English) Zbl 1394.82012 J. Differ. Equations 265, No. 5, 2243-2279 (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 82C10 82C22 82C40 35Q20 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, J. Differ. Equations 265, No. 5, 2243--2279 (2018; Zbl 1394.82012) Full Text: DOI arXiv
Soffer, Avy; Tran, Minh-Binh On the dynamics of finite temperature trapped Bose gases. (English) Zbl 1386.82035 Adv. Math. 325, 533-607 (2018). Reviewer: Guy Jumarie (Montréal) MSC: 82C10 82C22 82C40 35Q20 35B44 35Q55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{M.-B. Tran}, Adv. Math. 325, 533--607 (2018; Zbl 1386.82035) Full Text: DOI arXiv
Fröhlich, Jürg; Gang, Zhou; Soffer, Avy Friction in a model of Hamiltonian dynamics. (English) Zbl 1263.82033 Commun. Math. Phys. 315, No. 2, 401-444 (2012). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C10 82C26 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., Commun. Math. Phys. 315, No. 2, 401--444 (2012; Zbl 1263.82033) Full Text: DOI arXiv Link
Fröhlich, Jürg; Gang, Zhou; Soffer, Avy Some Hamiltonian models of friction. (English) Zbl 1272.70067 J. Math. Phys. 52, No. 8, 083508, 13 p. (2011). MSC: 82C10 PDFBibTeX XMLCite \textit{J. Fröhlich} et al., J. Math. Phys. 52, No. 8, 083508, 13 p. (2011; Zbl 1272.70067) Full Text: DOI arXiv
Rivkind, Alexander; Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model. (English) Zbl 1221.82059 J. Phys. A, Math. Theor. 44, No. 30, Article ID 305206, 18 p. (2011). MSC: 82B44 81Q10 82B20 PDFBibTeX XMLCite \textit{A. Rivkind} et al., J. Phys. A, Math. Theor. 44, No. 30, Article ID 305206, 18 p. (2011; Zbl 1221.82059) Full Text: DOI arXiv
Dekel, G.; Farberovich, O. V.; Soffer, A.; Fleurov, V. Nonlinear dynamic phenomena in macroscopic tunneling. (English) Zbl 1167.82325 Physica D 238, No. 15, 1475-1481 (2009). MSC: 82C10 35Q55 35Q51 78A60 PDFBibTeX XMLCite \textit{G. Dekel} et al., Physica D 238, No. 15, 1475--1481 (2009; Zbl 1167.82325) Full Text: DOI arXiv
Fishman, Shmuel; Krivolapov, Yevgeny; Soffer, Avy On the problem of dynamical localization in the nonlinear Schrödinger equation with a random potential. (English) Zbl 1149.82027 J. Stat. Phys. 131, No. 5, 843-865 (2008). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82C44 35Q55 PDFBibTeX XMLCite \textit{S. Fishman} et al., J. Stat. Phys. 131, No. 5, 843--865 (2008; Zbl 1149.82027) Full Text: DOI arXiv
Soffer, Avy; Wang, Wei-Min Anderson localization for time periodic Schrödinger operators. (English) Zbl 1028.81018 Commun. Partial Differ. Equations 28, No. 1-2, 333-347 (2003). Reviewer: Kun Soo Chang (Seoul) MSC: 82B44 81Q10 60H25 47B80 47N55 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{W.-M. Wang}, Commun. Partial Differ. Equations 28, No. 1--2, 333--347 (2003; Zbl 1028.81018) Full Text: DOI arXiv
Carlen, E. A.; Soffer, A. Entropy production by block variable summation and central limit theorems. (English) Zbl 0734.60024 Commun. Math. Phys. 140, No. 2, 339-371 (1991). MSC: 60F05 82C35 PDFBibTeX XMLCite \textit{E. A. Carlen} and \textit{A. Soffer}, Commun. Math. Phys. 140, No. 2, 339--371 (1991; Zbl 0734.60024) Full Text: DOI