D. R. Dolai

activity

20182022

collaborators

4 papers

math.SP2022

Smoothness of integrated density of states and level statistics of the Anderson model when single site distribution is convolution with the Cauchy distribution

Dhriti Ranjan Dolai

In this work we consider the Anderson model on $ℓ^{2} (Z^{d})$ when the single site distribution (SSD) is given by $μ_{1} * μ_{2}$ , where $μ_{1}$ is the Cauchy distribution and $μ…

math.SP2020

The IDS and Asymptotic of the Largest Eigenvalue of Random Schrödinger Operators with Decaying Random Potential

Dhriti Ranjan Dolai

In this work we obtain the integrated density of states for the Schrödinger operators with decaying random potentials acting on $ℓ^{2} (Z^{d})$ . We also study the asymptotic…

math.SP2019

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 $L^{2} (R^{d})$ with i.i.d single site random potentials. We allow a large class of free…

math.SP2018

Schrödinger operators with decaying randomness - Pure point spectrum

Anish Mallick, Dhriti Ranjan Dolai

Here we show that for Schrödinger operator with decaying random potential with fat tail single site distribution, the negative spectrum shows a transition from essential spectrum t…