7 papers · 1 filter
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…
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…
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…
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…
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…
Solving marginals of the LDP for the directed landscape
Sayan Das, Li-Cheng Tsai
We prove the upper-tail Large Deviation Principle (LDP) for the parabolic Airy process and characterize the limit shape of the directed landscape under the upper-tail conditioning.…