3 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.SP2026
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 a…
math-ph2024
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 as analogues to the law of large numbers (LLN)…