Found 869 Documents (Results 1–100)
On localization and the spectrum of multi-frequency quasi-periodic operators. (English) Zbl 07903081
On the regularity of generalized random spectral measures and their applications. (English) Zbl 07898741
Littlewood-Paley-Stein functionals: an \(\mathcal{R}\)-boundedness approach. (Fonctionnelles de Littlewood-Paley-Stein: une approche par la \(\mathcal{R}\)-bornétude.) (English. French summary) Zbl 1542.42012
Wegner estimate and localisation for alloy-type operators with minimal support assumptions on the single site potential. (English) Zbl 07864362
Decay of the Green’s function of the fractional Anderson model and connection to long-range SAW. (English) Zbl 07827538
Spectral approximation of generalized Schrödinger operators via approximation of subwords. (English) Zbl 07785407
Anderson localization for the 1-d Schrödinger operator with white noise potential. (English) Zbl 07765652
Reviewer: Constanza Rojas-Molina (Paris)
Asymptotic behaviors of the integrated density of states for random Schrödinger operators associated with Gibbs point processes. (English) Zbl 07790264
From topological recursion to wave functions and PDEs quantizing hyperelliptic curves. (English) Zbl 1524.14076
Reviewer: Vladimir P. Kostov (Nice)
Local eigenvalue statistics for higher-rank Anderson models after Dietlein-Elgart. (English) Zbl 1523.81070
A Schrödinger random operator with semimartingale potential. (English) Zbl 1540.60226
Reviewer: Utkir A. Rozikov (Tashkent)
Random Schrödinger operator on infinite-dimensional hypercube. I: Ergodicity and density of states. (English) Zbl 1538.82022
The Hausdorff dimension of the spectrum of a class of generalized Thue-Morse Hamiltonians. (English) Zbl 1524.28007
Eigenvalue bounds for Schrödinger operators with random complex potentials. (English) Zbl 1518.35517
On the number and locations of eigenvalues of the discrete Schrödinger operator on a lattice. (English) Zbl 1527.81063
Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder. (English) Zbl 1515.81101
Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials. (English) Zbl 1518.35160
Abstract model of continuous-time quantum walk based on Bernoulli functionals and perfect state transfer. (English) Zbl 1516.81145
Homogeneous spectrum of quasi-periodic Gevrey Schrödinger operators with Diophantine frequency. (English) Zbl 1525.37052
Reviewer: Manfred Möller (Johannesburg)
Inverse problem for a random Schrödinger equation with unknown source and potential. (English) Zbl 1518.35266
The spectrum of Schrödinger operators with randomly perturbed ergodic potentials. (English) Zbl 07680038
Limiting distribution of extremal eigenvalues of \(d\)-dimensional random Schrödinger operator. (English) Zbl 1517.82022
Slow propagation of information on the random XXZ quantum spin chain. arXiv:2311.14188
Preprint, arXiv:2311.14188 [math-ph] (2023).
Central limit theorem for the random variables associated with the IDS of the Anderson model on lattice. arXiv:2309.07529
Preprint, arXiv:2309.07529 [math-ph] (2023).
Some mathematical aspects of Anderson localization: boundary effect, multimodality, and bifurcation. (English) Zbl 1516.82044
Quantitative inductive estimates for Green’s functions of non-self-adjoint matrices. (English) Zbl 1515.81107
The landscape law for tight binding Hamiltonians. (English) Zbl 1511.35109
Reviewer: Michael Perelmuter (Kyïv)
Localisation and delocalisation for a simple quantum wave guide with randomness. (English) Zbl 1538.82021
Dynamical localization for polynomial long-range hopping random operators on \(\mathbb{Z}^d\). (English) Zbl 1509.47057
Integrated density of states of the Anderson Hamiltonian with two-dimensional white noise. (English) Zbl 1503.60088
Open quantum random walks and quantum Markov chains on trees. I: Phase transitions. (English) Zbl 1511.81087
On the discrete spectra of Schrödinger-type operators on one dimensional lattices. (English) Zbl 1510.81068
Asymptotic dynamics of certain solutions for an extended nonlinear Gross-Pitaevskii equation with critical nonlinear damping in \(\mathbb{R}^3\). (English) Zbl 1504.35463
J. Math. Anal. Appl. 516, No. 2, Article ID 126558, 26 p. (2022); corrigendum ibid. 518, No. 1, Article ID 126754, 1 p. (2023).
Decay of harmonic functions for discrete time Feynman-Kac operators with confining potentials. (English) Zbl 1496.60087
Must the spectrum of a random Schrödinger operator contain an interval? (English) Zbl 07565222
Reviewer: Miyeon Kwon (Platteville)
Longtime asymptotics of the two-dimensional parabolic Anderson model with white-noise potential. (English) Zbl 1497.35124
On the spectrum of the Kronig-Penney model in a constant electric field. (English) Zbl 1514.34144
Reviewer: Hubert Kalf (München)
Anderson-Bernoulli localization on the three-dimensional lattice and discrete unique continuation principle. (English) Zbl 1489.82044
Fast localization of eigenfunctions via smoothed potentials. (English) Zbl 1496.35179
Reviewer: James Bernard Kennedy (Lisboa)
Anderson Hamiltonians with singular potentials. arXiv:2211.01199
Preprint, arXiv:2211.01199 [math.PR] (2022).
Localization in the random XXZ quantum spin chain. arXiv:2210.14873
Preprint, arXiv:2210.14873 [math-ph] (2022).
Smoothness of integrated density of states and level statistics of the Anderson model when single site distribution is convolution with the Cauchy distribution. arXiv:2203.04569
Preprint, arXiv:2203.04569 [math.SP] (2022).
Random Schrödinger operators with complex decaying potentials. arXiv:2201.04466
Preprint, arXiv:2201.04466 [math.SP] (2022).
Geometry, dynamics and spectrum of operators on discrete spaces. Abstracts from the workshop held January 3–9, 2021 (online meeting). (English) Zbl 1487.00037
Application of the locally self-consistent embedding approach to the Anderson model with non-uniform random distributions. (English) Zbl 1486.82016
The IDS and asymptotic of the largest eigenvalue of random Schrödinger operators with decaying random potential. (English) Zbl 1483.81067
Regularized potentials of Schrödinger operators and a local landscape function. (English) Zbl 1487.35200
Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk)
An eigensystem approach to Anderson localization for multi-particle systems. (English) Zbl 1489.82042
The landscape law for the integrated density of states. (English) Zbl 1479.35267
Reviewer: Michael Perelmuter (Kyïv)
Some remarks on spectral averaging and the local density of states for random Schrödinger operators on \(L^2(\mathbb{R}^d)\). (English) Zbl 1479.35266
Albeverio, Sergio (ed.) et al., Schrödinger operators, spectral analysis and number theory. In memory of Erik Balslev. Cham: Springer. Springer Proc. Math. Stat. 348, 117-132 (2021).
Reviewer: Jake Fillman (San Marcos)
Asymptotics of random resonances generated by a point process of delta-interactions. (English) Zbl 1477.82010
Albeverio, Sergio (ed.) et al., Schrödinger operators, spectral analysis and number theory. In memory of Erik Balslev. Cham: Springer. Springer Proc. Math. Stat. 348, 7-26 (2021).
Introduction to the scientific contributions in the book. (English) Zbl 1473.35127
Albeverio, Sergio (ed.) et al., Schrödinger operators, spectral analysis and number theory. In memory of Erik Balslev. Cham: Springer. Springer Proc. Math. Stat. 348, 1-6 (2021).
Sharp bounds for the integrated density of states of a strongly disordered 1D Anderson-Bernoulli model. (English) Zbl 1473.82016
A new spectral analysis of stationary random Schrödinger operators. (English) Zbl 1472.81092
Reviewer: Eric Stachura (Marietta)
Decorrelation estimates for random Schrödinger operators with non rank one perturbations. (English) Zbl 1473.35131
Reviewer: Michael Perelmuter (Kyïv)
Bound states of Schrödinger-type operators on one and two dimensional lattices. (English) Zbl 1467.81036
On the essential spectrum of three-particle discrete Schrödinger operators with short-range potentials. (English) Zbl 1467.81046
Asymptotics of the eigenvalues of the Anderson Hamiltonian with white noise potential in two dimensions. (English) Zbl 1468.35041
Localization and IDS regularity in the disordered Hubbard model within Hartree-Fock theory. (English) Zbl 1475.82011
Long-time Anderson localization for the nonlinear Schrödinger equation revisited. (English) Zbl 1460.82006
Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons. (English) Zbl 1475.35221
NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 1, Paper No. 9, 30 p. (2021); correction ibid. 30, No. 1, Paper No. 9, 5 p. (2023).
Reviewer: Dmitry Pelinovsky (Hamilton)
Time crystals. (English) Zbl 1526.82003
Springer Series on Atomic, Optical, and Plasma Physics 114. Cham: Springer (ISBN 978-3-030-52522-4/hbk; 978-3-030-52525-5/pbk; 978-3-030-52523-1/ebook). xiii, 268 p. (2020).
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
Convergence analysis on stochastic collocation methods for the linear Schrödinger equation with random inputs. (English) Zbl 1488.65523
On the convergence of random tridiagonal matrices to stochastic semigroups. (English. French summary) Zbl 1465.60009
On the finite-size Lyapunov exponent for the Schrödinger operator with skew-shift potential. (English) Zbl 1466.81019
Ground states for nonlocal Schrödinger type operators on locally compact abelian groups. (English) Zbl 1476.35103
Reviewer: Jin Liang (Shanghai)
Trajectory interpretation of correspondence principle: solution of nodal issue. (English) Zbl 1454.81038
A multiscale reduced basis method for the Schrödinger equation with multiscale and random potentials. (English) Zbl 1454.35070
Probabilistic approach to solving the Cauchy problem for the Schrödinger equation with fractional differential operator of order \(\alpha \in \underset{m=3}{\overset{\infty }{\bigcup }}(m-1,m)\). (English. Russian original) Zbl 1450.35230
J. Math. Sci., New York 251, No. 1, 131-140 (2020); translation from Zap. Nauchn. Semin. POMI 474, 199-212 (2018).
Time operators for quantum walks. (English) Zbl 1451.81228
Reviewer: Michael Perelmuter (Kyïv)
Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process. (English) Zbl 1457.60126
Reviewer: Oleg K. Zakusilo (Kyïv)
Eigensystem multiscale analysis for the Anderson model via the Wegner estimate. (English) Zbl 1451.82019
Reviewer: Utkir A. Rozikov (Tashkent)
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