11 citations · 40 across the 19 of their papers we have counts for
20 papers
Krylov Complexity: Flat bands and Carroll breaking deformations
Aritra Banerjee, Arpan Bhattacharyya, Rudranil Basu +1
Systems with flat band structures, when written in the language of Compact Localised States (CLS), have been shown to be explicitly invariant under supertranslation symmetries, mak…
Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
Sayan Das, Evan Sorensen, Zongrui Yang
We prove a complete characterization of the extremal invariant measures for half-space geometric last-passage percolation with an arbitrary boundary parameter. This is the first re…
Pinning in non-critical half-space geometric last passage percolation
Sayan Das, Evgeni Dimitrov, Zongrui Yang
We study a symmetrized (half-space) version of geometric last passage percolation with a boundary parameter that interpolates between subcritical, critical, and supercritical b…
KPZ exponents for the half-space log-gamma polymer
Guillaume Barraquand, Ivan Corwin, Sayan Das
We consider the point-to-point log-gamma polymer of length in a half-space with i.i.d. distributed bulk weights and i.i.d. $\operatorname{Gamma…
The half-space log-Gamma polymer in the bound phase
Sayan Das, Weitao Zhu
We consider the log-Gamma polymer in the half-space with bulk weights distributed as and diagonal weights as for $θ…
Large deviations for the -deformed polynuclear growth
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study large time large deviations for the height function of the -deformed polynuclear growth introduced in ABW22 [arXiv:2108.06018]. We sh…
KPZ equation limit of sticky Brownian motion
Sayan Das, Hindy Drillick, Shalin Parekh
We consider the motion of a particle under a continuum random environment whose distribution is given by the Howitt-Warren flow. In the moderate deviation regime, we establish that…
Long and short time laws of iterated logarithms for the KPZ fixed point
Sayan Das, Promit Ghosal, Yier Lin
We consider the KPZ fixed point starting from a general class of initial data. In this article, we study the growth of the large peaks of the KPZ fixed point at a spatial point …
Large deviation principle for random permutations
Jacopo Borga, Sayan Das, Sumit Mukherjee +1
We derive a large deviation principle for random permutations induced by probability measures of the unit square, called permutons. These permutations are called -random permuta…
Short- and long-time path tightness of the continuum directed random polymer
Sayan Das, Weitao Zhu
We consider the point-to-point continuum directed random polymer () model that arises as a scaling limit from dimensional directed polymers in the intermediate…
A fourth moment phenomenon for asymptotic normality of monochromatic subgraphs
Sayan Das, Zoe Himwich, Nitya Mani
Given a graph sequence and a simple connected subgraph , we denote by the number of monochromatic copies of in a uniformly random vertex colorin…
Localization of the continuum directed random polymer
Sayan Das, Weitao Zhu
We consider the continuum directed random polymer (CDRP) model that arises as a scaling limit from dimensional directed polymers in the intermediate disorder regime. We show…
Fluctuations of Quadratic Chaos
Bhaswar B. Bhattacharya, Sayan Das, Somabha Mukherjee +1
In this paper we characterize all distributional limits of the random quadratic form , where is a $\{0,…
Temporal increments of the KPZ equation with general initial data
Sayan Das
We consider the Cole-Hopf solution of the (1+1)-dimensional KPZ equation started with initial data . In this article, we study the sample path properties of…
Upper-tail large deviation principle for the ASEP
Sayan Das, Weitao Zhu
We consider the asymmetric simple exclusion process (ASEP) on started from step initial data and obtain the exact Lyapunov exponents for , the integrated curre…
Large deviations for discrete -ensembles
Sayan Das, Evgeni Dimitrov
We consider discrete -ensembles as introduced by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). Under general assumptions, we e…
Law of Iterated Logarithms and Fractal Properties of the KPZ Equation
Sayan Das, Promit Ghosal
We consider the Cole-Hopf solution of the (1+1)-dimensional KPZ equation started from the narrow wedge initial condition. In this article, we ask how the peaks and valleys of the K…
Motif Estimation via Subgraph Sampling: The Fourth Moment Phenomenon
Bhaswar B. Bhattacharya, Sayan Das, Sumit Mukherjee
Network sampling is an indispensable tool for understanding features of large complex networks where it is practically impossible to search over the entire graph. In this paper, we…
Fractional moments of the Stochastic Heat Equation
Sayan Das, Li-Cheng Tsai
Consider the solution of the one-dimensional stochastic heat equation, with a multiplicative spacetime white noise, and with the delta initial data $\mathcal{Z}(…
Extremal process of the zero-average Gaussian Free Field for
Sayan Das, Rajat Subhra Hazra
We consider the Gaussian free field on the torus whose covariance kernel is given by the zero-average Green's function. We show that for dimension , the extremal point proc…