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 2026 · math.PRShow all

8 papers · 2 filters

math.PR2026

Fluctuations in the Potts spin glass model at high temperature

Partha S. Dey, Taegu Kang

We study the fluctuations of the free energy of the Potts spin glass with $κ$ colors at high temperature. The disorder is symmetric with unit variance and finite fourth moment. For…

math.PR2026

Limit Theorems for the Complete Feedback Card Guessing Game

Partha S. Dey, Jaya M. Manthripragada

We study the optimal score $T_{n, m}$ in a complete feedback card guessing game. The deck has $n$ types and $m$ cards of each type. Its predictable compensator $S_{n, m}$ is the sum…

math.PR2026

Inhomogeneous Long-Range First-Passage Percolation in a Random Vertex Environment

Shirshendu Chatterjee, Partha S. Dey, Daecheol Kim

We study inhomogeneous long-range first-passage percolation on $Z^{d}$ with edge passage times $∥ x - y ∥^{α} ω_{x y} / (V_{x} V_{y})$ , where vertex weights have polynomial uppe…

math.PR2026

Phase Transition and Fluctuation Results for First-Passage Percolation on Spread-Out Cycle Graphs

Partha S. Dey, Daecheol Kim

We study first-passage percolation on the $ℓ$ -spread-out one-dimensional cycle of size $n$ , where vertices are connected if their graph distance is at most $ℓ$ . We assign i.i…

math.PR2026

Fluctuations of the free energy of the Sherrington-Kirkpatrick model with ferromagnetic interaction

Partha S. Dey, Taegu Kang

We study the Sherrington-Kirkpatrick model with an additional Curie-Weiss ferromagnetic interaction (SKFI), whose phase diagram in the plane of the disorder strength $β$ and the fe…

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

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 $PAM (m, δ)$ , where $m \geq 2$ and $δ > - m$ , with explicit rates…

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 $β > 0$ . Let $F_{N} (β)$ be the corresponding log-partition function. Under…