P. Dey

activity

20092026

most citedApplications of Stein's method for concentration inequalities

79 citations · 135 across the 25 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.PR2022

Hypergraph Counting and Mixed $p$ -Spin Glass Models under Replica Symmetry

Partha S. Dey, Qiang Wu

We study the fluctuation problems at high temperature in the general mixed $p$ -spin glass models under the weak external field assumption: $h = ρ N^{- α}, ρ > 0, α \in [1/4, \infty]$ . By…

math.PR2022

Berry-Esseen Theorem for Sample Quantiles with Locally Dependent Data

Partha S. Dey, Grigory Terlov

We derive a Gaussian Central Limit Theorem for the sample quantiles based on locally dependent random variables with explicit convergence rate. Our approach is based on converting…

math.PR2022★ 1 cited

A Framework for Blockchain Architecture Design

Partha S. Dey, Aditya Gopalan

Emerging applications of blockchains, such as grocery supply chains, require frequent updates to the data structure. This is in contrast with typical analyses of the Bitcoin blockc…

Hypergraph Counting and Mixed p-Spin Glass Models under Replica Symmetry

Berry-Esseen Theorem for Sample Quantiles with Locally Dependent Data

A Framework for Blockchain Architecture Design

Hypergraph Counting and Mixed $p$ -Spin Glass Models under Replica Symmetry