11 citations · 40 across the 19 of their papers we have counts for
7 papers · 1 filter
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…