De Roeck, Wojciech; Huveneers, François; Meeus, Branko; Prośniak, A. Oskar Rigorous and simple results on very slow thermalization, or quasi-localization, of the disordered quantum chain. (English) Zbl 07791855 Physica A 631, Article ID 129245, 20 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{W. De Roeck} et al., Physica A 631, Article ID 129245, 20 p. (2023; Zbl 07791855) Full Text: DOI arXiv
Sacchetti, Andrea Perturbation theory for nonlinear Schrödinger equations. (English) Zbl 1528.35169 Nonlinearity 36, No. 11, 6048-6070 (2023). MSC: 35Q55 81Q15 35B35 PDFBibTeX XMLCite \textit{A. Sacchetti}, Nonlinearity 36, No. 11, 6048--6070 (2023; Zbl 1528.35169) Full Text: DOI arXiv OA License
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
Cong, Hongzi; Shi, Yunfeng; Zhang, Zhifei Long-time Anderson localization for the nonlinear Schrödinger equation revisited. (English) Zbl 1460.82006 J. Stat. Phys. 182, No. 1, Paper No. 10, 22 p. (2021). MSC: 82B44 81Q10 35J10 35Q55 35R60 PDFBibTeX XMLCite \textit{H. Cong} et al., J. Stat. Phys. 182, No. 1, Paper No. 10, 22 p. (2021; Zbl 1460.82006) 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
Mulansky, Mario Scaling of chaos in strongly nonlinear lattices. (English) Zbl 1345.34059 Chaos 24, No. 2, 024401, 6 p. (2014). MSC: 34C15 34C28 34C60 PDFBibTeX XMLCite \textit{M. Mulansky}, Chaos 24, No. 2, 024401, 6 p. (2014; Zbl 1345.34059) Full Text: DOI arXiv
De Roeck, Wojciech; Huveneers, François Asymptotic quantum many-body localization from thermal disorder. (English) Zbl 1309.82010 Commun. Math. Phys. 332, No. 3, 1017-1082 (2014). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B20 82B44 82B26 81V70 82B10 PDFBibTeX XMLCite \textit{W. De Roeck} and \textit{F. Huveneers}, Commun. Math. Phys. 332, No. 3, 1017--1082 (2014; Zbl 1309.82010) Full Text: DOI arXiv
Michaely, E.; Fishman, S. Statistical properties of the one dimensional Anderson model relevant for the nonlinear Schrödinger equation in a random potential. (English) Zbl 1515.82088 Eur. Phys. J. B, Condens. Matter Complex Syst. 85, No. 11, Paper No. 362, 10 p. (2012). MSC: 82B44 PDFBibTeX XMLCite \textit{E. Michaely} and \textit{S. Fishman}, Eur. Phys. J. B, Condens. Matter Complex Syst. 85, No. 11, Paper No. 362, 10 p. (2012; Zbl 1515.82088) Full Text: DOI arXiv
Takahashi, M.; Katsura, H.; Kohmoto, M.; Koma, T. Multifractals competing with solitons on Fibonacci optical lattices. (English) Zbl 1448.35482 New J. Phys. 14, No. 11, Article ID 113012, 16 p. (2012). MSC: 35Q55 81Q35 35C08 82D50 PDFBibTeX XMLCite \textit{M. Takahashi} et al., New J. Phys. 14, No. 11, Article ID 113012, 16 p. (2012; Zbl 1448.35482) Full Text: DOI arXiv
Aubry, Serge J. KAM tori and absence of diffusion of a wave-packet in the 1D random DNLS model. (English) Zbl 1248.37053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2125-2145 (2011). MSC: 37J40 37K60 37H99 PDFBibTeX XMLCite \textit{S. J. Aubry}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2125--2145 (2011; Zbl 1248.37053) Full Text: DOI
Krivolapov, Yevgeny; Fishman, Shmuel; Soffer, Avy A numerical and symbolical approximation of the nonlinear Anderson model. (English) Zbl 1375.35495 New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010). MSC: 35Q55 81Q15 PDFBibTeX XMLCite \textit{Y. Krivolapov} et al., New J. Phys. 12, No. 6, Article ID 063035, 22 p. (2010; Zbl 1375.35495) Full Text: DOI arXiv