Sayan Das

collaborators

6 papers

cs.CG2025

New Complexity and Algorithmic Bounds for Minimum Consistent Subsets

Aritra Banik, Sayani Das, Anil Maheshwari +6

In the Minimum Consistent Subset (MCS) problem, we are presented with a connected simple undirected graph $G = (V, E)$ , consisting of a vertex set $V$ of size $n$ and an edge set $E$ .…

math.PR2025

Lower tail large deviations of the stochastic six vertex model

Sayan Das, Yuchen Liao, Matteo Mucciconi

In this paper, we study lower tail probabilities of the height function $h (M, N)$ of the stochastic six-vertex model. We introduce a novel combinatorial approach to demon…

math.PR2025

Fluctuation exponents of the open KPZ equation in the maximal current phase

Andres A. Contreras Hip, Sayan Das, Antonios Zitridis

We consider the open KPZ equation $H (x, t)$ on the interval $[0, L]$ with Neumann boundary conditions depending on parameters $u, v \geq 0$ (the so-called maximal current phase). For $L…

math.PR2025

Convergence to stationary measures for the half-space log-gamma polymer

Sayan Das, Christian Serio

We consider the point-to-point half-space log-gamma polymer model in the unbound phase. We prove that the free energy increment process on the anti-diagonal path converges to the t…

math.PR2025

The half-space KPZ line ensemble and its scaling limit

Sayan Das, Christian Serio

For each $I^\pm \in R$ , $t \geq 1$ , we show that there exists a unique $N$ -indexed line ensemble of random continuous curves $R_{\leq 0} \to R$ with…

math.PR2024

Multiplicative SHE limit of random walks in space-time random environments

Sayan Das, Hindy Drillick, Shalin Parekh

We show that under a certain moderate deviation scaling, the multiplicative-noise stochastic heat equation (SHE) arises as the fluctuations of the quenched density of a 1D random w…