Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
On localization in the continuous Anderson-Bernoulli model in higher dimension - MaRDI portal

On localization in the continuous Anderson-Bernoulli model in higher dimension

From MaRDI portal
Publication:2487928

DOI10.1007/s00222-004-0435-7zbMath1084.82005OpenAlexW1967068708MaRDI QIDQ2487928

Carlos E. Kenig, Jean Bourgain

Publication date: 17 August 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-004-0435-7




Related Items

Efficient localization bounds in a continuous \(N\)-particle Anderson model with long-range interactionScale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operatorsAnderson-Bernoulli localization on the three-dimensional lattice and discrete unique continuation principleExponential scaling limit of the single-particle Anderson model via adaptive feedback scalingIrreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvaluesA discrete harmonic function bounded on a large portion of \({\mathbb{Z}^2}\) is constantUniqueness properties of solutions of Schrödinger equationsSurface localization in impurity band with random displacements and long-range interactionsAnderson transition at two-dimensional growth rate on antitrees and spectral theory for operators with one propagating channelContinuity of the integrated density of states on random length metric graphsLocalization for a matrix-valued Anderson modelQuantitative uniqueness estimates for \(p\)-Laplace type equations in the planeScale-free unique continuation estimates and applications to random Schrödinger operatorsOn quantitative uniqueness for elliptic equationsThe Landis-Oleinik conjecture in the exterior domainAnderson-Bernoulli localization at large disorder on the 2D latticeAn eigensystem approach to Anderson localizationHarmonic Analysis and Random Schrödinger OperatorsQuantitative uniqueness of solutions to second order elliptic equations with singular potentials in two dimensionsOn the Furstenberg measure and density of states for the Anderson-Bernoulli model at small disorderStochastic analysis and random Schrödinger operatorsQuantitative uniqueness of solutions to parabolic equationsBounds on the density of states for Schrödinger operatorsOn uniqueness properties of solutions of the \(k\)-generalized KdV equationsUnique continuation principle for spectral projections of Schrödinger operators and optimal Wegner estimates for non-ergodic random Schrödinger operatorsQuantitative unique continuation for Schrödinger operatorsLifschitz tail for alloy-type models driven by the fractional LaplacianScale-free uncertainty principles and Wegner estimates for random breather potentialsA comprehensive proof of localization for continuous Anderson models with singular random potentialsOn the ratio of different norms of caloric functions and related eigenfunctions of an integral operatorGround state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson modelsAsymptotic behavior of the steady Navier-Stokes flow in the exterior domainCharacterization of the Anderson metal-insulator transition for non ergodic operators and applicationEigensystem multiscale analysis for Anderson localization in energy intervalsUniversal regularity of higher-dimensional disorder and density of states under non-local interactions. I: Infinite smoothness and localizationScale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operatorsWegner estimate for discrete alloy-type modelsA Carleman inequality on product manifolds and applications to rigidity problemsScale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equationsAbsolutely continuous spectrum for Schrödinger operators with random decaying matrix potentials on the stripLocalization for random operators with non-monotone potentials with exponentially decaying correlationsAnderson localization triggered by spin disorder -- with an application to \(\mathrm{Eu}_{x }\mathrm{Ca}_{1 - x }\mathrm{B}_{6}\)Book Review: Random operators: disorder effects on quantum spectra and dynamicsAsymptotic ergodicity of the eigenvalues of random operators in the localized phaseUniform existence of the integrated density of states for randomly weighted Hamiltonians on long-range percolation graphsInverse scattering problem for a two dimensional random potentialMulti-scale analysis of random alloy models with summable site potentials of infinite rangeSemiclassical resolvent estimates for bounded potentialsAnderson localization for a class of models with a sign-indefinite single-site potential via fractional moment methodAn eigensystem approach to Anderson localization for multi-particle systemsUniqueness properties of solutions to Schrödinger equationsDoubling inequality and nodal sets for solutions of bi-Laplace equationsPersistence of Anderson localization in Schrödinger operators with decaying random potentialsCarleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuationWegner estimate and disorder dependence for Alloy-type Hamiltonians with bounded magnetic potentialQuantitative unique continuation of solutions to higher order elliptic equations with singular coefficientsFrom fixed-energy localization analysis to dynamical localization: an elementary pathOn Bernoulli decompositions for random variables, concentration bounds, and spectral localizationUniqueness properties for discrete equations and Carleman estimatesOn Landis' conjecture in the plane for some equations with sign-changing potentialsThe weak localization for the alloy-type Anderson model on a cubic latticeQuantitative uniqueness estimates for the general second order elliptic equationsQuantitative uniqueness of some higher order elliptic equationsWegner-type bounds for a multi-particle continuous anderson model with an Alloy-type external potentialAn improved Combes-Thomas estimate of magnetic Schrödinger operatorsAbsence of absolutely continuous spectrum for an Anderson-Bernoulli operator with generic interaction potentialSpectral properties of the discrete random displacement modelStability of the unique continuation for the wave operator via Tataru inequality: the local caseThe exponential decay of eigenfunctions for tight-binding Hamiltonians via landscape and dual landscape functionsQuantitative unique continuation principle for Schrödinger operators with singular potentialsOn the asymptotic properties for stationary solutions to the Navier-Stokes equationsLevel spacing and Poisson statistics for continuum random Schrödinger operatorsStrong unique continuation for second-order hyperbolic equations with time-independent coefficientsThe Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficientsLower bounds for Dirichlet Laplacians and uncertainty principlesLocalization near the edge for the Anderson Bernoulli model on the two dimensional latticeMinimizing the ground state energy of an electron in a randomly deformed latticeA multi-scale analysis proof of the power-law localization for random operators on \(\mathbb{Z}^d\)Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applicationsA celebration of Jürg and TomAn approach to Wegner's estimate using subharmonicityOn the Manhattan pinball problemExponential bounds for gradient of solutions to linear elliptic and parabolic equationsLocal behavior of solutions of the stationary Schrödinger equation with singular potentials and bounds on the density of states of Schrödinger operatorsLocalization near fluctuation boundaries via fractional moments and applicationsA Wegner-type estimate for correlated potentialsDiscrete Schrödinger Operators with Random Alloy-type PotentialUnderstanding the Random Displacement Model: From Ground State Properties to LocalizationOn the fractional Landis conjectureBand edge localization beyond regular Floquet eigenvaluesEigensystem multiscale analysis for the Anderson model via the Wegner estimateA theorem on the multiplicity of the singular spectrum of a general Anderson-type HamiltonianRegularity of the density of states of random Schrödinger operatorsLandis' conjecture for general second order elliptic equations with singular lower order terms in the planeLocalisation for Delone operators via Bernoulli randomisationImproved quantitative unique continuation for complex-valued drift equations in the planeOn localization for the Schrödinger operator with a Poisson random potentialAnderson localization in discrete random displacements modelsOn quantitative uniqueness for parabolic equationsSome Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schrödinger OperatorPower law logarithmic bounds of moments for long range operators in arbitrary dimensionLandis-type conjecture for the half-LaplacianTopics on Fermi varieties of discrete periodic Schrödinger operatorsSharp exponential decay for solutions of the stationary perturbed Dirac equationCloaking Property of a Plasmonic Structure in Doubly Complementary Media and Three-Sphere Inequalities with Partial DataCarleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuationOn the Landis conjecture for the fractional Schrödinger equationQuantitative unique continuation for Robin boundary value problems on C^{1,1} domainsUniqueness results for solutions of continuous and discrete PDEOn the localization regime of certain random operators within Hartree–Fock theoryQuantitative equidistribution of eigenfunctions for toral Schrödinger operatorsLocalization for random quasi-one-dimensional modelsUnique continuation for the gradient of eigenfunctions and Wegner estimates for random divergence-type operatorsA “lifting” method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson modelsCost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theoryA quantitative Carleman estimate for second-order elliptic operatorsDensity of states for the Anderson model on nested fractalsCarleman estimates for sub-Laplacians on Carnot groupsQuantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentialsSpace-like quantitative uniqueness for parabolic operatorsQuantum ergodicity for the Anderson model on regular graphsThe Landis conjecture for variable coefficient second-order elliptic PDEsUnnamed ItemUnique continuation for discrete nonlinear wave equationsGlobal multiplicity bounds and spectral statistics for random operatorsRandom Schrödinger operators and Anderson localization in aperiodic mediaCarleman Estimates for the Schrödinger Operator. Applications to Quantitative UniquenessUniqueness results for Zakharov-Kuznetsov equationStability of the unique continuation for the wave operator via Tataru inequality and applicationsQuantitative unique continuation for a parabolic equationOn Landis’ conjecture in the plane when the potential has an exponentially decaying negative partExponential decay estimates for fundamental solutions of Schrödinger-type operatorsLocalization of eigenfunctions via an effective potentialQuantitative uniqueness of solutions to second-order elliptic equations with singular lower order termsThe lattice Anderson model with discrete disorderThe Landis conjecture with sharp rate of decayASYMPTOTIC BEHAVIOR OF THE INTEGRATED DENSITY OF STATES FOR RANDOM POINT FIELDS ASSOCIATED WITH CERTAIN FREDHOLM DETERMINANTSDynamical versions of Hardy’s uncertainty principle: A surveyLifshitz tail for continuous Anderson models driven by Lévy operatorsOn Landis’ Conjecture in the PlaneAsymptotic behavior of the stationary magnetohydrodynamic equations in an exterior domainMultiparticle localization for disordered systems on continuous space via the fractional moment methodLocalization and eigenvalue statistics for the lattice Anderson model with discrete disorder



Cites Work