zbMath0752.47002MaRDI QIDQ4002485
Alexander Figotin, Leonid Pastur
Publication date: 18 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moment analysis for localization in random Schrödinger operators,
Spectral properties of the Laplacian on bond-percolation graphs,
The landscape law for the integrated density of states,
A random matrix from a stochastic heat equation,
Discrete magnetic Laplacian,
Resonant equilibrium configurations in quasi-periodic media: perturbative expansions,
Continuity of the integrated density of states on random length metric graphs,
A low concentration asymptotic expansion for the density of states of a random Schrödinger operator with Poisson disorder,
Microlocalization, percolation, and Anderson localization for the magnetic Schrödinger operator with a random potential,
An extension of spectral methods to quasi-periodic and multiscale problems,
Ballistic motion in one-dimensional quasi-periodic discrete Schrödinger equation,
Decay of determinantal and Pfaffian correlation functionals in one-dimensional lattices,
Spectral properties of a class of reflectionless Schrödinger operators,
Localization for Schrödinger operators with effective barriers,
Resummation of perturbation series and reducibility for Bryuno skew-product flows,
Measurability of intersections of measurable multifunctions,
Regularity of the interband light absorption coefficient,
Results dealing with the behavior of the integrated density of states of random divergence operators,
Uniform existence of the integrated density of states on metric Cayley graphs,
Bounds on the density of states for Schrödinger operators,
The integrated density of states for an interacting multiparticle homogeneous model and applications to the Anderson model,
On the singular spectrum for adiabatic quasiperiodic Schrödinger operators,
Random Lie group actions on compact manifolds: a perturbative analysis,
A lower bound for the Lyapounov exponents of the random Schrödinger operator on a strip,
Lifshitz tails for the interband light absorption coefficient,
Mean-field models for disordered crystals,
Traces of semigroups associated with interacting particle systems,
Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential,
Localization for the random displacement model at weak disorder,
Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice,
On the weak and ergodic limit of the spectral shift function,
Expansion of the almost sure spectrum in the weak disorder regime,
Natural boundaries and spectral theory,
Wegner-type bounds for a two-particle lattice model with a generic ``rough quasi-periodic potential, The Gross-Pitaevskii functional with a random background potential and condensation in the single particle ground state, Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails, Random block operators, Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential, Orthogonal polynomials with recursion coefficients of generalized bounded variation, Lifshitz tails on the Bethe lattice: A combinatorial approach, Kotani-Last problem and Hardy spaces on surfaces of Widom type, Shape of the ground state energy density of Hill's equation with nice Gaussian potential, Wegner estimate for a nonsign definite generalized alloy type potential, Linearly stable quasi-periodic breathers in a class of random Hamiltonian systems, Localization on quantum graphs with random vertex couplings, Internal Lifshitz tails for discrete Schrödinger operators, Random Witten Laplacians: Traces of semigroups, \(L^{2}\)-Betti numbers and index, Extremal theory for spectrum of random discrete Schrödinger operator. I: Asymptotic expansion formulas, Poisson eigenvalue statistics for random Schrödinger operators on regular graphs, Persistence of Anderson localization in Schrödinger operators with decaying random potentials, Upper bounds on wavepacket spreading for random Jacobi matrices, On the spectrum of odd order self-adjoint ordinary differential operators on the real line with quasi-periodic coefficients, Lifshitz tails for continuous matrix-valued Anderson models, Wegner estimate and localization for random magnetic fields, Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups, Ballistic transport and absolute continuity of one-frequency Schrödinger operators, Essential closures and AC spectra for reflectionless CMV, Jacobi, and Schrödinger operators revisited, Large block properties of the entanglement entropy of free disordered fermions, Wegner-type bounds for a multi-particle continuous anderson model with an Alloy-type external potential, Ergodic Jacobi matrices and conformal maps, A note on the analyticity of density of states, Wegner estimates for some random operators with Anderson-type surface potentials, Hill's equation with random forcing parameters: determination of growth rates through random matrices, Generalized eigenvalue-counting estimates for some random acoustic operators, Harmonic analysis on perturbed Cayley trees, Eigenvalue statistics for lattice Hamiltonian with off-diagonal disorder, Adiabatic almost-periodic Schrödinger operators, Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents, Perturbations of orthogonal polynomials with periodic recursion coefficients, Hamiltonian map approach to 1D Anderson model, Lifshitz tails for a class of Schrödinger operators with random breather-type potential, The random phase property and the Lyapunov spectrum for disordered multi-channel systems, Rieffel's pseudodifferential calculus and spectral analysis of quantum Hamiltonians, Anderson localization for time quasi-periodic random Schrödinger and wave equations, Absolutely continuous spectra of quantum tree graphs with weak disorder, Wegner estimate for Gaussian random magnetic fields, Unicity of the integrated density of states for relativistic Schrödinger operators with regular magnetic fields and singular electric potentials, Lifshits tails for randomly twisted quantum waveguides, Central limit theorem and large deviations of the fading Wyner cellular model via product of random matrices theory, Uniform existence of the integrated density of states for models on \({\mathbb{Z}}^d\), Generalized Prüfer variables for perturbations of Jacobi and CMV matrices, Gap solitons in almost periodic one-dimensional structures, Localization on quantum graphs with random edge lengths, Groupoids, von Neumann algebras and the integrated density of states, Low energy properties of the random displacement model, Modified Prüfer and EFGP transforms and deterministic models with dense point spectrum, Localization near fluctuation boundaries via fractional moments and applications, Effective perturbation methods for one-dimensional Schrödinger operators, A Wegner-type estimate for correlated potentials, On the stability of time-harmonic localized states in a disordered nonlinear medium, Band edge localization beyond regular Floquet eigenvalues, Regularity of the density of states of random Schrödinger operators, A Dixmier trace formula for the density of states, On the nature of Bose-Einstein condensation in disordered systems, Continuity properties of the integrated density of states on manifolds, Localization bounds for multiparticle systems, Almost periodic Jacobi matrices with homogeneous spectrum, infinite dimensional Jacobi inversion, and Hardy spaces of character-automorphic functions, Transfer matrices, hyperbolic geometry and absolutely continuous spectrum for some discrete Schrödinger operators on graphs, Anderson localization and Lifshits tails for random surface potentials, The Thouless formula for random non-Hermitian Jacobi matrices, On the spectrum of a non-self-adjoint quasiperiodic operator, Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two, Delocalization at small energy for heavy-tailed random matrices, A characterization of the Anderson metal-insulator transport transition, Dixmier trace and the DOS of magnetic operators, Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections, An introduction to multiscale techniques in the theory of Anderson localization. I, From random matrices to quasi-periodic Jacobi matrices via orthogonal polynomials, Internal Lifshits tails for random magnetic Schrödinger operators, Transfer matrices and transport for Schrödinger operators., Localization for some continuous random Schrödinger operators, Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges, Local spectral properties of reflectionless Jacobi, CMV, and Schrödinger operators, Positive Lyapunov exponents for a class of deterministic potentials, Reflectionless Sturm-Liouville equations, Localization phenomenon in gaps of the spectrum of random lattice operators, Monodromization and difference equations with meromorphic periodic coefficients, Localization for random potentials supported on a subspace, Perturbed periodic Hamiltonians: Essential spectrum and exponential decay of eigenfunctions, Localization of electromagnetic and acoustic waves in random media. Lattice models, Lifshitz tails for the fractional Anderson model, Full Szegő-type trace asymptotics for ergodic operators on large boxes, Density of states for random band matrices in two dimensions, Long-time behavior of solutions to a class of quasilinear parabolic equations with random coefficients, On solutions of nonlinear Schrödinger equations with Cantor-type spectrum, Tridiagonal random matrix: Gaussian fluctuations and deviations, How much delocalisation is needed for an enhanced area law of the entanglement entropy?, Lifschitz tail for alloy-type models driven by the fractional Laplacian, A remark on the effect of random singular two-particle interactions, Bose-Einstein condensation in the Luttinger-Sy model with contact interaction, Upper bound for the Bethe-Sommerfeld threshold and the spectrum of the Poisson random Hamiltonian in two dimensions, The spectrum and density of states of the almost Mathieu operator with frequency represented by a continued fraction with large elements, Spectral statistics for Anderson models with sporadic potentials, A real-analytic proof of the Simon-Wolff theorem, The Lyapunov exponent of products of random \(2\times 2\) matrices close to the identity, Uniform approximation of the integrated density of states for long-range percolation Hamiltonians, Anderson-like transition for a class of random sparse models in \(d\geq 2\) dimensions, On the measure of the absolutely continuous spectrum for Jacobi matrices, The band-edge behavior of the density of surfacic states, A spectral alternative for continuous families of self-adjoint operators, Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation, Lifshitz tails for 2-dimensional random Schrödinger operators., Frequency concentration and location lengths for the Anderson model at small disorders, Asymptotic Lyapunov exponents for large random matrices, On a condition for type-I Bose-Einstein condensation in random potentials in \(d\) dimensions, Asymptotic ergodicity of the eigenvalues of random operators in the localized phase, Uniform existence of the integrated density of states for randomly weighted Hamiltonians on long-range percolation graphs, On the spectral theory of trees with finite cone type, Bound states and the Szegő condition for Jacobi matrices and Schrödinger operators., Sum rules and the Szegő condition for orthogonal polynomials on the real line, Lifshitz tails for acoustic waves in random quantum waveguide, Continuity of integrated density of states -- independent randomness, Internal Lifshits tails for random perturbations of periodic Schrödinger operators., Lifshitz tails in constant magnetic fields, An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators, The Canophy graph and level statistics for random operators on trees, Correlation estimates in the Anderson model, The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension, Ergodic Schrödinger operators in the infinite measure setting, Survival of classical and quantum particles in the presence of traps, Direct Cauchy theorem and Fourier integral in Widom domains, An affirmative answer to a core issue on limit operators, On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space, Localization for random block operators related to the \(XY\) spin chain, An exact renormalization formula for the Maryland model, Spectral analysis of percolation Hamiltonians, Level spacing and Poisson statistics for continuum random Schrödinger operators, A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators, Difference almost-periodic Schrödinger operators: Corollaries of localization, Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness, Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle, The density of states of 1D random band matrices via a supersymmetric transfer operator, On the norm and eigenvalue distribution of large random matrices, Localization for Anderson models on metric and discrete tree graphs, Ballistic transport for periodic Jacobi operators on \(\mathbb{Z}^d\), On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength, Random Möbius dynamics on the unit disc and perturbation theory for Lyapunov exponents, On the ground state of free and random discrete Hamiltonians perturbed by an operator of rank one for a critical value of the coupling constant, Lifshitz tails for quantum waveguides with random boundary conditions, Localization phenomena in structural dynamics, A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators, Moment asymptotics for the continuous parabolic Anderson model., Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields, Lifshitz tails for random diagonal perturbations of Laurent matrices, Localization for random Schrödinger operators on \(L^ 2 (\mathbb{R}^ d)\): a semiclassical model, On Bose-Einstein condensation in one-dimensional noninteracting Bose gases in the presence of soft Poisson obstacles, Localisation for Delone operators via Bernoulli randomisation, Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function, Localization for one-dimensional, continuum, Bernoulli-Anderson models., Approximation of the integrated density of states on sofic groups, A quantum spin system with random interactions. I, The fate of Lifshits tails in magnetic fields., Multiscale analysis for ergodic Schrödinger operators and positivity of Lyapunov exponents, Lyapunov exponent of the random Schrödinger operator with short-range correlated noise potential, Lifshitz tails for random perturbations of periodic Schrödinger operators, Strategies in localization proofs for one-dimensional random Schrödinger operators, A remark about internal Lifshitz asymptotes, Quasicrystals, aperiodic order, and groupoid von Neumann algebras., Global Poissonian behavior of the eigenvalues and localization centers of random operators in the localized phase, Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential, On the Density of Eigenvalues on Periodic Graphs, The rotation number for almost periodic potentials with jump discontinuities and \(\delta \)-interactions, Surface localization in impurity band with arbitrary singular disorder and long-range potentials, Anderson localization in 1D systems with correlated disorder, Asymptotic behaviors of the integrated density of states for random Schrödinger operators associated with Gibbs point processes, On the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation, A general Dixmier trace formula for the density of states on open manifolds, Global Continuity of the Integrated Density of States for Random Landau Hamiltonians, Quasiperiodic solutions to nonlinear random Schrödinger equations at fixed potential realizations, Unnamed Item, Twelve tales in mathematical physics: An expanded Heineman prize lecture, The Shannon’s mutual information of a multiple antenna time and frequency dependent channel: An ergodic operator approach, A diamagnetic inequality for semigroup differences, Wegner estimates, Lifshitz tails, and Anderson localization for Gaussian random magnetic fields, Wegner estimate for Landau-breather Hamiltonians, Eigenvalue Fluctuations for Lattice Anderson Hamiltonians, Ergodicity and dynamical localization for Delone–Anderson operators, Wave function shredding by sparse quantum barriers, Local Wegner and Lifshitz tails estimates for the density of states for continuous random Schrödinger operators, The large connectivity limit of the Anderson model on tree graphs, Unnamed Item, Asymptotic properties of polynomials orthogonal with respect to varying weights, and related topics of spectral theory, Monodromization method in the theory of almost-periodic equations, $\mathbf {\operatorname {SL} _2({\mathbb {R}})}$, exponential Herglotz representations, and spectral averaging, Stochastic analysis and random Schrödinger operators, Lyapunov exponent of random dynamical systems on the circle, A new approach to transport coefficients in the quantum spin Hall effect, On Lyapunov Exponents and Rotation Number of Random Linear Hamiltonian Systems, Implicit Linear Nonhomogeneous Difference Equation over ℤ with a Random Right-Hand Side, Asymptotic Analysis of the Lyapunov Exponents of Certain Linear Hamiltonian Systems with Small Noise, Monodromization and a \(\mathcal{PT}\)-symmetric nonself-adjoint quasi-periodic operator, Ballistic transport for limit-periodic Schrödinger operators in one dimension, Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices, Random Sturm–Liouville operators with point interactions, Footprint of a topological phase transition on the density of states, Finite difference approximation of almost periodic schrödinger operators, Dynamics and spectral theory of quasi-periodic Schrödinger-type operators, A lower bound for the density of states of the lattice Anderson model, Book Review: Random operators: disorder effects on quantum spectra and dynamics, Homogenization of diffusion in high contrast random media and related Markov semigroups, Surface Lifshits tails for random quantum Hamiltonians, Many-Particle Quantum Graphs: A Review, Absolutely Continuous Spectrum of a Polyharmonic Operator with a Limit Periodic Potential in Dimension Two, Extended States for the Schrödinger Operator with Quasi-periodic Potential in Dimension Two, Global multiplicity bounds and spectral statistics for random operators, KdV hierarchy via Abelian coverings and operator identities, Continuous spectrum for a class of smooth mixing Schrödinger operators, Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading, Multiscale analysis in momentum space for quasi-periodic potential in dimension two, Dynamics of a family of piecewise-linear area-preserving plane maps I. Rational rotation numbers, Spectral properties of polyharmonic operators with limit-periodic potential in dimension two, Propagation of longitudinal waves in a random binary rod, Wave propagation in a one-dimensional randomly perturbed periodic medium, Non-Lifshitz tails at the spectral bottom of some random operators, Unnamed Item, Localization for Random Block Operators, Lifshits tails caused by anisotropic decay: the emergence of a quantum-classical regime, Soliton turbulence as a thermodynamic limit of stochastic soliton lattices, New characterizations of the region of complete localization for random Schrödinger operators, Lifshitz tails for spectra of Erdős-Rényi random graphs, 2-dimensional localization of acoustic waves in random perturbation of periodic media, The integrated density of states in strong magnetic fields, Some remarks on discrete aperiodic Schrödinger operators, Regularity of the surface density of states, Padé approximants of random Stieltjes series, Percolation Hamiltonians, Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs, Singular density of states measure for subshift and quasi-periodic Schrödinger operators, The reduced Hartree-Fock model for short-range quantum crystals with nonlocal defects, Explicit Formulae in Probability and in Statistical Physics, Spectral extrema and Lifshitz tails for non-monotonous alloy type models, Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra, On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit, Spectral analysis of the generalized surface Maryland model, Limit operators, collective compactness, and the spectral theory of infinite matrices, Random Sturm-Liouville operators with generalized point interactions, Interacting Electrons in a Random Medium: A Simple One-Dimensional Model, Unnamed Item, Note on Spectra of Non-Selfadjoint Operators Over Dynamical Systems, Boosted Simon-Wolff Spectral Criterion and Resonant Delocalization, Singular-unbounded random Jacobi matrices, Ballistic transport for Schrödinger operators with quasi-periodic potentials, On the averaged quantum dynamics by white-noise hamiltonians with and without dissipation, Understanding the Random Displacement Model: From Ground State Properties to Localization, Unnamed Item, Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators, Towards localisation by Gaussian random potentials in multi-dimensional continuous space, ASYMPTOTIC BEHAVIOR OF THE INTEGRATED DENSITY OF STATES FOR RANDOM POINT FIELDS ASSOCIATED WITH CERTAIN FREDHOLM DETERMINANTS, Linear response theory for magnetic Schrödinger operators in disordered media, On connections between the theory of random operators and the theory of random matrices, Scattering on the system of the sparse bumps: multidimensional case, Measurable enumeration of eigenelements, Lifshitz tail for continuous Anderson models driven by Lévy operators, On the nature of Bose–Einstein condensation enhanced by localization, Almost everywhere positivity of the Lyapunov exponent for the doubling map, A new spectral analysis of stationary random Schrödinger operators, Some Remarks on Spectral Averaging and the Local Density of States for Random Schrödinger Operators on $$L^2 (\mathbb {R}^d)$$, On polyharmonic operators with limit-periodic potential in dimension two, Soliton gas in integrable dispersive hydrodynamics, Spectral type of a class of random Jacobi operators, Absence of Cantor spectrum for a class of Schrödinger operators, The IDS and asymptotic of the largest eigenvalue of random Schrödinger operators with decaying random potential, Random string: an explicitly solvable model, Pseudo-gaps for random hopping models, Arithmetic Spectral Transitions for the Maryland Model, Two-parameter spectral averaging and localization for non-monotonic random Schrödinger operators