P. Dey

collaborators

6 papers

math.PR2026

First-Passage Percolation on Spread-out line graphs: Microscopic Regime

Partha S. Dey, Daecheol Kim

We study first-passage percolation on the $ℓ$ -spread-out line graph, where each vertex $i \in {0, 1, \dots, n}$ is connected to all others at distance at most $ℓ$ . Here, we focu…

math.PR2026

Random optimization problems at fixed temperatures

Partha S. Dey, Grigory Terlov

This article considers a class of disordered mean-field combinatorial optimization problems. We focus on the Gibbs measure, where the inverse temperature does not vary with the siz…

math.PR2026

Limiting distributions of triangle counts in linear preferential attachment models

Partha S. Dey, Grigory Terlov

We derive distributional approximations for the number of triangles in the linear preferential attachment model $PAM (m, I^´)$ , where $m \geq 2$ and $I^´ > - m$ , with explicit rate…

math.PR2026

Fluctuations for the Sherrington--Kirkpatrick spin glass model near the critical temperature

Partha S. Dey, Taegu Kang

We consider the Sherrington--Kirkpatrick spin glass model with zero external field and at inverse temperature $I^^{2} > 0$ . Let $F_{N} (I^^{2})$ be the corresponding log-partition function. Und…

math.PR2025

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…

math.PR2025

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…