González, Hernán; Sadel, Christian Absolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the strip. (English) Zbl 1509.82069 Lett. Math. Phys. 113, No. 1, Paper No. 9, 32 p. (2023). MSC: 82B44 60H25 47B36 15A18 PDFBibTeX XMLCite \textit{H. González} and \textit{C. Sadel}, Lett. Math. Phys. 113, No. 1, Paper No. 9, 32 p. (2023; Zbl 1509.82069) Full Text: DOI arXiv
von Soosten, Per; Warzel, Simone Singular spectrum and recent results on hierarchical operators. (English) Zbl 1421.47002 Bonetto, Federico (ed.) et al., Mathematical problems in quantum physics. QMATH13: Conference on mathematical results in quantum physics, Georgia Institute of Technology, Atlanta, GA, USA, October 8–11, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 717, 215-225 (2018). MSC: 47B80 47A40 82B44 60K40 PDFBibTeX XMLCite \textit{P. von Soosten} and \textit{S. Warzel}, Contemp. Math. 717, 215--225 (2018; Zbl 1421.47002) Full Text: DOI arXiv
Sadel, Christian Spectral theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models. (English) Zbl 1477.81034 J. Funct. Anal. 274, No. 8, 2205-2244 (2018). MSC: 81Q10 81Q35 47B36 60H25 82B44 PDFBibTeX XMLCite \textit{C. Sadel}, J. Funct. Anal. 274, No. 8, 2205--2244 (2018; Zbl 1477.81034) Full Text: DOI arXiv
Kozachenko, Yuriy; Pogorilyak, Oleksandr; Rozora, Iryna; Tegza, Antonina Simulation of stochastic processes with given accuracy and reliability. (English) Zbl 1376.60004 Amsterdam: Elsevier/ISTE Press (ISBN 978-1-78548-217-5/hbk; 978-0-08-102085-2/ebook). xi, 333 p. (2016). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60-02 60G15 60G10 60K30 PDFBibTeX XMLCite \textit{Y. Kozachenko} et al., Simulation of stochastic processes with given accuracy and reliability. Amsterdam: Elsevier/ISTE Press (2016; Zbl 1376.60004) Full Text: Link
Denisov, Sergey A. Multidimensional \(L^2\) conjecture: a survey. (English) Zbl 1299.35223 Borichev, Alexander (ed.) et al., Recent trends in analysis. Proceedings of the conference in honor of Nikolai Nikolski on the occasion of his 70th birthday, Bordeaux, France, August 31 – September 2, 2011. Bucharest: The Theta Foundation (ISBN 978-606-8443-02-7). Theta Series in Advanced Mathematics 16, 101-112 (2013). MSC: 35P25 31C15 60J45 PDFBibTeX XMLCite \textit{S. A. Denisov}, Theta Ser. Adv. Math. 16, 101--112 (2013; Zbl 1299.35223) Full Text: arXiv
Akama, Yohji; Iizuka, Shinji Random fields on model sets with localized dependency and their diffraction. (English) Zbl 1259.82116 J. Stat. Phys. 149, No. 3, 478-495 (2012). MSC: 82D25 82D20 74E15 60G60 PDFBibTeX XMLCite \textit{Y. Akama} and \textit{S. Iizuka}, J. Stat. Phys. 149, No. 3, 478--495 (2012; Zbl 1259.82116) Full Text: DOI arXiv
Klein, Abel; Sadel, Christian Absolutely continuous spectrum for random Schrödinger operators on the Bethe strip. (English) Zbl 1237.82027 Math. Nachr. 285, No. 1, 5-26 (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B44 47B80 60H25 PDFBibTeX XMLCite \textit{A. Klein} and \textit{C. Sadel}, Math. Nachr. 285, No. 1, 5--26 (2012; Zbl 1237.82027) Full Text: DOI arXiv
Boumaza, Hakim Absence of absolutely continuous spectrum for an Anderson-Bernoulli operator with generic interaction potential. (Absence de spectre absolument continu pour un opérateur d’Anderson à potentiel d’interaction générique.) (French. Abridged English version) Zbl 1200.37046 C. R., Math., Acad. Sci. Paris 348, No. 3-4, 175-179 (2010). Reviewer: Mohamed Hmissi (Tunis) MSC: 37H15 82B44 47B80 60H25 PDFBibTeX XMLCite \textit{H. Boumaza}, C. R., Math., Acad. Sci. Paris 348, No. 3--4, 175--179 (2010; Zbl 1200.37046) Full Text: DOI
Skrenty, Dariusz Absolutely continuous spectrum of some group extensions of Gaussian actions. (English) Zbl 1178.37009 Discrete Contin. Dyn. Syst. 26, No. 1, 365-378 (2010). MSC: 37A15 37A20 60G15 PDFBibTeX XMLCite \textit{D. Skrenty}, Discrete Contin. Dyn. Syst. 26, No. 1, 365--378 (2010; Zbl 1178.37009) Full Text: DOI
Holt, J.; Molchanov, S.; Safronov, O. Cwikel and quasi-Szegö type estimates for random operators. (English) Zbl 1147.35063 Commun. Partial Differ. Equations 33, No. 6, 1033-1047 (2008). MSC: 35P15 35P20 35J10 60H25 PDFBibTeX XMLCite \textit{J. Holt} et al., Commun. Partial Differ. Equations 33, No. 6, 1033--1047 (2008; Zbl 1147.35063) Full Text: DOI
Breuer, Jonathan; Last, Yoram Stability of spectral types for Jacobi matrices under decaying random perturbations. (English) Zbl 1124.47019 J. Funct. Anal. 245, No. 1, 249-283 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 47B80 60H25 PDFBibTeX XMLCite \textit{J. Breuer} and \textit{Y. Last}, J. Funct. Anal. 245, No. 1, 249--283 (2007; Zbl 1124.47019) Full Text: DOI arXiv
Aizenman, Michael; Warzel, Simone The Canophy graph and level statistics for random operators on trees. (English) Zbl 1138.47032 Math. Phys. Anal. Geom. 9, No. 4, 291-333 (2006). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 47B80 60K40 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{S. Warzel}, Math. Phys. Anal. Geom. 9, No. 4, 291--333 (2006; Zbl 1138.47032) Full Text: DOI arXiv
Sahbani, Jaouad Spectral properties of Jacobi matrices of certain birth and death processes. (English) Zbl 1122.47031 J. Oper. Theory 56, No. 2, 377-390 (2006). MSC: 47B36 47A10 47B47 39A70 60J80 PDFBibTeX XMLCite \textit{J. Sahbani}, J. Oper. Theory 56, No. 2, 377--390 (2006; Zbl 1122.47031)
Aizenman, Michael; Sims, Robert; Warzel, Simone Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs. (English) Zbl 1111.82022 Berkolaiko, Gregory (ed.) et al., Quantum graphs and their applications. Proceedings of an AMS-IMS-SIAM joint summer research conference on quantum graphs and their applications, Snowbird, UT, USA, June 19–23, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3765-6/pbk). Contemporary Mathematics 415, 1-14 (2006). Reviewer: A. C. D. van Enter (Groningen) MSC: 82B44 47B80 60H25 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Contemp. Math. 415, 1--14 (2006; Zbl 1111.82022)
Frank, R. L.; Safronov, O. Absolutely continuous spectrum of a class of random nonergodic Schrödinger operators. (English) Zbl 1087.60052 Int. Math. Res. Not. 2005, No. 42, 2559-2577 (2005). Reviewer: Viorel Iftimie (Bucureşti) MSC: 60H25 35R60 35P25 PDFBibTeX XMLCite \textit{R. L. Frank} and \textit{O. Safronov}, Int. Math. Res. Not. 2005, No. 42, 2559--2577 (2005; Zbl 1087.60052) Full Text: DOI
Jakšić, Vojkan; Last, Yoram Corrugated surfaces and a. c. spectrum. (English) Zbl 0979.60050 Rev. Math. Phys. 12, No. 11, 1465-1503 (2000). Reviewer: Alexandra Rodkina (Mona, Kingston) MSC: 60H15 47A10 PDFBibTeX XMLCite \textit{V. Jakšić} and \textit{Y. Last}, Rev. Math. Phys. 12, No. 11, 1465--1503 (2000; Zbl 0979.60050) Full Text: DOI
Jakšić, Vojkan; Last, Yoram Spectral structure of Anderson type Hamiltonians. (English) Zbl 0962.60056 Invent. Math. 141, No. 3, 561-577 (2000). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 60H25 47B80 82B44 PDFBibTeX XMLCite \textit{V. Jakšić} and \textit{Y. Last}, Invent. Math. 141, No. 3, 561--577 (2000; Zbl 0962.60056) Full Text: DOI
Jakšić, Vojkan; Molchanov, Stanislav On the spectrum of the surface Maryland model. (English) Zbl 0916.47027 Lett. Math. Phys. 45, No. 3, 185-193 (1998). MSC: 47B80 60H25 47N55 PDFBibTeX XMLCite \textit{V. Jakšić} and \textit{S. Molchanov}, Lett. Math. Phys. 45, No. 3, 185--193 (1998; Zbl 0916.47027) Full Text: DOI
Klein, Abel Extended states in the Anderson model on the Bethe lattice. (English) Zbl 0899.60088 Adv. Math. 133, No. 1, 163-184 (1998). MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{A. Klein}, Adv. Math. 133, No. 1, 163--184 (1998; Zbl 0899.60088) Full Text: DOI
Fischer, Werner; Hupfer, Thomas; Leschke, Hajo; Müller, Peter Rigorous results on Schrödinger operators with certain Gaussian random potentials in multi-dimensional continuous space. (English) Zbl 0891.47025 Demuth, Michael (ed.) et al., Differential equations, asymptotic analysis, and mathematical physics. Papers associated with the international conference on partial differential equations, Potsdam, Germany, June 29–July 2, 1996. Berlin: Akademie Verlag. Math. Res. 100, 105-112 (1997). MSC: 47B80 47N50 81Q10 60H10 PDFBibTeX XMLCite \textit{W. Fischer} et al., in: Differential equations, asymptotic analysis, and mathematical physics. Papers associated with the international conference on partial differential equations, Potsdam, Germany, June 29--July 2, 1996. Berlin: Akademie Verlag. 105--112 (1997; Zbl 0891.47025) Full Text: arXiv
Klein, Abel Absolutely continuous spectrum in random Schrödinger operators. (English) Zbl 0864.60053 Arveson, William (ed.) et al., Quantization, nonlinear partial differential equations, and operator algebra. 1994 John von Neumann symposium on quantization and nonlinear wave equations, June 7-11, 1994, MIT, Cambridge, MA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 59, 139-147 (1996). MSC: 60H25 82B44 81Q10 PDFBibTeX XMLCite \textit{A. Klein}, Proc. Symp. Pure Math. 59, 139--147 (1996; Zbl 0864.60053)
Karner, Gunther The simplified Fermi accelerator in classical and quantum mechanics. (English) Zbl 0839.60075 J. Stat. Phys. 77, No. 3-4, 867-879 (1994). MSC: 60J75 82B44 PDFBibTeX XMLCite \textit{G. Karner}, J. Stat. Phys. 77, No. 3--4, 867--879 (1994; Zbl 0839.60075) Full Text: DOI
Stollmann, Peter Scattering by obstacles of finite capacity. (English) Zbl 0803.47015 J. Funct. Anal. 121, No. 2, 416-425 (1994). Reviewer: P.Šťovíček (Praha) MSC: 47A40 47B10 47A10 60J25 PDFBibTeX XMLCite \textit{P. Stollmann}, J. Funct. Anal. 121, No. 2, 416--425 (1994; Zbl 0803.47015) Full Text: DOI
Minami, Nariyuki Random Schrödinger operators with a constant electric field. (English) Zbl 0752.60052 Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 3, 307-344 (1992). MSC: 60H25 78A25 PDFBibTeX XMLCite \textit{N. Minami}, Ann. Inst. Henri Poincaré, Phys. Théor. 56, No. 3, 307--344 (1992; Zbl 0752.60052) Full Text: Numdam EuDML
Lang, Reinhard Spectral theory of random Schrödinger operators. A genetic introduction. (English) Zbl 0788.60076 Lecture Notes in Mathematics. 1498. Berlin: Springer-Verlag. 125 p. (1991). Reviewer: L.Pastur (Khar’kov) MSC: 60H25 60-01 82B44 82-01 PDFBibTeX XMLCite \textit{R. Lang}, Spectral theory of random Schrödinger operators. A genetic introduction. Berlin: Springer-Verlag (1991; Zbl 0788.60076) Full Text: DOI
Simon, Barry; Spencer, Thomas Trace class perturbations and the absence of absolutely continuous spectra. (English) Zbl 0684.47010 Commun. Math. Phys. 125, No. 1, 113-125 (1989). Reviewer: Sun Shanli MSC: 47A55 47A10 47A40 60H25 35P25 PDFBibTeX XMLCite \textit{B. Simon} and \textit{T. Spencer}, Commun. Math. Phys. 125, No. 1, 113--125 (1989; Zbl 0684.47010) Full Text: DOI
Yajima, Yoshihiro On estimation of a regression model with long-memory stationary errors. (English) Zbl 0661.62090 Ann. Stat. 16, No. 2, 791-807 (1988). Reviewer: E.J.Hannan MSC: 62M10 62J05 60F05 PDFBibTeX XMLCite \textit{Y. Yajima}, Ann. Stat. 16, No. 2, 791--807 (1988; Zbl 0661.62090) Full Text: DOI
Kotani, S.; Ushiroya, N. One-dimensional Schrödinger operators with random decaying potentials. (English) Zbl 0646.60071 Commun. Math. Phys. 115, No. 2, 247-266 (1988). MSC: 60H25 81P20 PDFBibTeX XMLCite \textit{S. Kotani} and \textit{N. Ushiroya}, Commun. Math. Phys. 115, No. 2, 247--266 (1988; Zbl 0646.60071) Full Text: DOI
Künsch, Hans R. Intrinsic autoregressions and related models on the two-dimensional lattice. (English) Zbl 0671.62082 Biometrika 74, 517-524 (1987). Reviewer: E.J.Hannan MSC: 62M07 60G10 62M10 62M20 62M99 PDFBibTeX XMLCite \textit{H. R. Künsch}, Biometrika 74, 517--524 (1987; Zbl 0671.62082) Full Text: DOI Link
Kotani, Shinichi Ljapunov indices determine absolutely continuous spectra of stationary random one-dimensional Schrödinger operators. (English) Zbl 0549.60058 Stochastic analysis, Proc. Taniguchi Int. Symp., Katata & Kyoto/Jap. 1982, North-Holland Math. Libr. 32, 225-247 (1984). Reviewer: L.Pastur MSC: 60H25 34A55 60G10 34B20 PDFBibTeX XML
Carmona, Rene One-dimensional Schrödinger operators with random or deterministic potentials: New spectral types. (English) Zbl 0516.60069 J. Funct. Anal. 51, 229-258 (1983). MSC: 60H15 PDFBibTeX XMLCite \textit{R. Carmona}, J. Funct. Anal. 51, 229--258 (1983; Zbl 0516.60069) Full Text: DOI