1 citations · 1 across the 5 of their papers we have counts for
5 papers
Exact Multi-Point Correlations in the Stochastic Heat Equation for Strictly Sublinear Coordinates
Pierre Yves Gaudreau Lamarre, Yier Lin
We consider the Stochastic Heat Equation (SHE) in dimensions with delta Dirac initial data and spacetime white noise. We prove exact large-time asymptotics for multi-point…
Strong law of large numbers for the stochastic six vertex model
Hindy Drillick, Yier Lin
We consider the inhomogeneous stochastic six vertex model with periodicity starting from step initial data. We prove that it converges almost surely to a deterministic limit shape.…
Hydrodynamics of the -PNG model via a colored -PNG model
Hindy Drillick, Yier Lin
The -PNG model introduced in Aggarwal, Borodin, and Wheeler (2021) is a deformed version of the polynuclear growth (PNG) model. In this paper, we prove the hydrodynamic limit of…
Markov Duality for Stochastic Six Vertex Model
Yier Lin
We prove that Schütz's ASEP Markov duality functional is also a Markov duality functional for the stochastic six vertex model. We introduce a new method that uses induction on the…
Second order behavior of the block counting process of beta coalescents
Yier Lin, Bastien Mallein
The Beta coalescents are stochastic processes modeling the genealogy of a population. They appear as the rescaled limits of the genealogical trees of numerous stochastic population…