3 papers
math.PR2025
Local limit of the focusing discrete NLS
Kesav Krishnan, Gourab Ray
We examine the behavior of a function sampled from the invariant measure associated to the focusing discrete Non Linear Schrödinger equation, defined on a discrete torus of dimensi…
math-ph2024
Uniqueness and CLT for the Ground State of the Disordered Monomer-Dimer Model on
Kesav Krishnan, Gourab Ray
We prove that the disordered monomer-dimer model does not admit infinite volume incongruent ground states in which can be obtained as a limit of finite volume ground…
math.AP2023
Phase Transition for Discrete Non Linear Schrödinger Equation in Three and Higher Dimensions
Partha S. Dey, Kay Kirkpatrick, Kesav Krishnan
We analyze the thermodynamics of the focusing discrete nonlinear Schrödinger equation in dimensions with general nonlinearity and under a model with two parameters,…