3 citations · 5 across the 6 of their papers we have counts for
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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 on the interval with Neumann boundary conditions depending on parameters (the so-called maximal current phase). For $L…
The half-space KPZ line ensemble and its scaling limit
Sayan Das, Christian Serio
For each , we show that there exists a unique -indexed line ensemble of random continuous curves with the f…
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 of the stochastic six-vertex model. We introduce a novel combinatorial approach to demon…
Solving marginals of the LDP for the directed landscape
Sayan Das, Li-Cheng Tsai
We identify the explicit rate function for the upper-tail LDP of the parabolic Airy process and characterize the minimizing metrics, or equivalently the limit shape of the directed…
Upper tail large deviations of the directed landscape
Sayan Das, Duncan Dauvergne, Bálint Virág
Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one c…
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…
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…