D. R. Dolai

activity

20132026

most citedPoisson Statistics for Anderson Model with Singular Randomness

6 citations · 17 across the 13 of their papers we have counts for

collaborators

15 papers

math.SP2026

Continuity of higher-order derivatives for integrated density of states of the discrete Anderson model with respect to the disorder parameter

Dhriti Ranjan Dolai, Naveen Kumar

We derive quantitative continuity estimates for the higher-order derivatives of the integrated density of states (IDS) with respect to the disorder parameter for the Anderson model…

math.SP2025

CLT for the trace functional of the IDS of magnetic random Schrödinger operators

Dhriti Ranjan Dolai, Naveen Kumar

We consider the existence of the integrated density of states (IDS) of the magnetic Schrödinger operator with a random potential on the Hilbert space $ L^2(\mathbb{R}^d) $, as an…

math-ph2023

Central limit theorem for the random variables associated with the IDS of the Anderson model on lattice

Dhriti Ranjan Dolai

We consider the existence of the integrated density of states (IDS) of the Anderson model on the Hilbert space $ℓ^{2} (Z^{d})$ as analogues to the law of large numbers (LLN)…

math.SP2022

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…

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…

math.SP2017★ 3 cited

Multiplicity theorem of singular Spectrum for general Anderson type Hamiltonian

Anish Mallick, Dhriti Ranjan Dolai

In this work, we focus on the multiplicity of singular spectrum for operators of the form $A^{ω} = A + \sum_{n} ω_{n} C_{n}$ on a separable Hilbert space $H$ , for a self-adjoint ope…

math.SP2016

Spectral Statistics for one dimensional Anderson model with unbounded but decaying potential

Anish Mallick, Dhriti Ranjan Dolai

In this work, we study the spectral statistics for Anderson model on $ℓ^{2} (N)$ with decaying randomness whose single site distribution has unbounded support. Here we con…

math.SP2015

Some Estimates Regarding Integrated density of States for Random Schrödinger Operator with decaying Random Potentials

Dhriti Ranjan Dolai

We investigate some bounds for the density of states in the pure point regime for the random Schrödinger operators $H^{ω} = - Δ + n \in Z^{d} \sum a_{n} q_{n} (ω)$ , acting on…

math.SP2014★ 3 cited

Eigenfunction Statistics for Anderson Model with Hölder continuous single site Potential

Dhriti Ranjan Dolai, Anish Mallick

We consider random Schrödinger operators on $ℓ^{2} (Z^{d})$ when the distribution of single site potentials is $α$ -Hölder continuous ( $0 < α \leq 1$ ). In localized regime we st…

math.SP2014★ 6 cited

Poisson Statistics for Anderson Model with Singular Randomness

Dhriti Ranjan Dolai, M. Krishna

In this work we consider the Anderson model on the $d$ -dimensional lattice with the single site potential having singular distribution, mainly $α$ -Hölder continuous ones and show t…

math.SP2014

Spectral statistic for decaying random potentials

Dhriti Ranjan Dolai

We consider Anderson model $H^{ω} = - Δ + V^{ω}$ on $ℓ^{2} (Z^{d})$ with decaying random potential. We study the point process $ξ_{L, λ}^{ω}$ associated with eigenvalues of $H_{Λ_{L}}^{ω}$ ,…

math.SP2013★ 5 cited

Level Repulsion for a class of decaying random potentials

Dhriti Ranjan Dolai, M Krishna

In this paper we consider the Anderson model with decaying randomness and show that statistics near the band edges in the absolutely continuous spectrum in dimensions $d \geq 3$ is…