79 citations · 135 across the 25 of their papers we have counts for
3 papers · 1 filter
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…
Collaboration of Random Walks on Graphs
Partha S. Dey, Daesung Kim, Grigory Terlov
Consider a collaborative dynamic of independent random walks on a finite connected graph . We are interested in the size of the set of vertices visited by at least one walke…
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,…