35 citations · 83 across the 19 of their papers we have counts for
20 papers
Smoothness of integrated density of states of the Anderson model on Bethe lattice in high disorder
Dhriti Ranjan Dolai, M. krishna
In this work we consider the Anderson model on Bethe lattice and prove that the integrated density of states (IDS) is as smooth as the single site distribution (SSD), in high disor…
On the local eigenvalue statistics for random band matrices in the localization regime
Peter D. Hislop, M. Krishna
We study the local eigenvalue statistics associated with the eigenvalues of one-dimensional, random band matrices with independent, identically d…
Analyticity of density of states for the Cauchy distribution
Werner Kirsch, M. Krishna
We compute the density of states for the Cauchy distribution for a large class of random operators and show it is analytic in a strip about the real axis.
Quantum Lattice Wave Guides with Randomness -- Localisation and Delocalisation
Werner Kirsch, M. Krishna
In this paper we consider Schrödinger operators on , with (`quantum wave guides') with a `-trimmed' random potentia…
Eigenvalue statistics for Schrödinger operators with random point interactions on ,
Peter D. Hislop, Werner Kirsch, M. Krishna
We prove that the local eigenvalue statistics at energy in the localization regime for Schrödinger operators with random point interactions on , for , is…
Regularity of the density of states of Random Schrödinger Operators
Dhriti Ranjan Dolai, M Krishna, Anish Mallick
In this paper we solve a long standing open problem for Random Schrödinger operators on with i.i.d single site random potentials. We allow a large class of free…