Sayan Das

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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

The half-space KPZ line ensemble and its scaling limit

Sayan Das, Christian Serio

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