Anish Mallick

activity

20142021

most citedMultiplicity bound of Singular Spectrum for higher rank Anderson models

7 citations · 15 across the 7 of their papers we have counts for

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8 papers · 1 filter

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.SP2018

Global multiplicity bounds and Spectral Statistics Random Operators

Anish Mallick, M Krishna

In this paper, we consider Anderson type operators on a separable Hilbert space where the random perturbations are finite rank and the random variables have full support on $\mathb…

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★ 7 cited

Multiplicity bound of Singular Spectrum for higher rank Anderson models

Anish Mallick

In this work, we prove a bound on multiplicity of the singular spectrum for certain class of Anderson Hamiltonians. The class of operator is $H^{ω} = Δ + \sum_{n \in Z^{d}} ω_{n} P_{n}$ …

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

Spectral statistics of random Schrödinger operator with growing potential

Dhriti Ranjan Dolai, Anish Mallick

In this work we investigate the spectral statistics of random Schrödinger operators $H^{ω} = - Δ + \sum_{n \in Z^{d}} (1 + ∣ n ∣^{α}) q_{n} (ω) ∣ δ_{n} ⟩ ⟨ δ_{n} ∣$ , $α > 0$ acting on $\ell^2(\…

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…