A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states

article published in 2010

A Glivenko–Cantelli theorem for almost additive functions on lattices ⬇️

article by Christoph Schumacher et al published January 2017 in Stochastic Processes and their Applications

Anderson Localization for a Class of Models with a Sign-Indefinite Single-Site Potential via Fractional Moment Method

Bounds on the Spectral Shift Function and the Density of States

Conditional Wegner Estimate for the Standard Random Breather Potential ⬇️

article

Continuity of the Integrated Density of States on Random Length Metric Graphs

article published in 2009

Continuity properties of the integrated density of states on manifolds

Discrete Schrödinger Operators with Random Alloy-type Potential

Equality of Lifshitz and van Hove exponents on amenable Cayley graphs

Erratum to: A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states

scholarly article published in Geometriae Dedicata

Existence of the Density of States for Some Alloy Type Models With Single Site Potentials that Change Sign

Existence of the density of states for one-dimensional alloy-type potentials with small support

Expansion of the almost sure spectrum in the weak disorder regime

article by Denis Borisov et al published March 2016 in Journal of Functional Analysis

Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms

Groupoids, von Neumann Algebras and the Integrated Density of States

scholarly article by Daniel Lenz et al published 17 May 2007 in Mathematical Physics, Analysis and Geometry

Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence

Integrated density of states and Wegner estimates for random Schrödinger operators

article

Integrated density of states for random metrics on manifolds

L p -Approximation of the Integrated Density of States for Schrödinger Operators with Finite Local Complexity

Lifshitz Tails for a Class of Schrödinger Operators with Random Breather-Type Potential

Lifshitz asymptotics for percolation Hamiltonians

Lifshitz tails for Schrödinger operators with random breather potential

Linear Wegner estimate for alloy-type Schrödinger operators on metric graphs

article

Lipschitz-Continuity of the Integrated Density of States for Gaussian Random Potentials

Low Lying Spectrum of Weak-Disorder Quantum Waveguides

Low lying eigenvalues of randomly curved quantum waveguides

scientific article published in December 2013

Lower Bounds on the Lowest Spectral Gap of Singular Potential Hamiltonians

Minami’s Estimate: Beyond Rank One Perturbation and Monotonicity

article

Mini-Workshop: Modeling and Understanding Random Hamiltonians: Beyond Monotonicity, Linearity and Independence

Miniworkshop: L2-Spectral Invariants and the Integrated Density of States

Ocean rogue waves and their phase space dynamics in the limit of a linear interference model

scientific article

On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials

Optimal Wegner estimates for random Schrödinger operators on metric graphs

article

Quantum Hamiltonians with Weak Random Abstract Perturbation. I. Initial Length Scale Estimate

scientific article published in 2016

Quantum Site Percolation on Amenable Graphs

Sampling Inequality for $$L^2$$ L 2 -Norms of Eigenfunctions, Spectral Projectors, and Weyl Sequences of Schrödinger Operators

Scale-Free Unique Continuation Estimates and Applications to Random Schrödinger Operators

article

Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations

article

Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators

article

Sharp geometric condition for null-controllability of the heat equation on $$\mathbb {R}^d$$Rd and consistent estimates on the control cost

article

Sharpness of the Phase Transition and Exponential Decay of the Subcritical Cluster Size for Percolation on Quasi-Transitive Graphs

Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs

Spectral Gap of Segments of Periodic Waveguides

Spectral Gaps for Self-Adjoint Second Order Operators

Spectral analysis of percolation Hamiltonians

Spectral gap estimates for some block matrices ⬇️

article

Spectral localization for quantum Hamiltonians with weak random delta interaction

scientific article published in 2018

The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs

article

Unbounded quantum graphs with unbounded boundary conditions

Uniform Existence of the Integrated Density of States for Randomly Weighted Hamiltonians on Long-Range Percolation Graphs

Uniform existence of the integrated density of states for combinatorial and metric graphs over ℤ^{𝕕}

Uniform existence of the integrated density of states for models on $${\mathbb{Z}}^d$$

Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over Z d

Wegner Estimate and the Density of States of Some Indefinite Alloy-Type Schrödinger Operators

Wegner Estimate for Discrete Alloy-type Models

article

Wegner Estimates for Sign-Changing Single Site Potentials

article

Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials

article

Wegner estimate for Landau-breather Hamiltonians ⬇️

article

Wegner estimate for sparse and other generalized alloy type potentials

article