Partha S. Dey

most citedCentral Limit Theorem for Gram-Schmidt Random Walk Design

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.ST2023★ 1 cited

Central Limit Theorem for Gram-Schmidt Random Walk Design

Sabyasachi Chatterjee, Partha S. Dey, Subhajit Goswami

We prove a central limit theorem for the Horvitz-Thompson estimator based on the Gram-Schmidt Walk (GSW) design, recently developed in Harshaw et al.(2022). In particular, we consi…

math.PR2023

Collaboration of Random Walks on Graphs

Partha S. Dey, Daesung Kim, Grigory Terlov

Consider a collaborative dynamic of $k$ independent random walks on a finite connected graph $G$ . We are interested in the size of the set of vertices visited by at least one walke…

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 $d \geq 3$ with general nonlinearity $p > 1$ and under a model with two parameters,…