6 citations · 24 across the 17 of their papers we have counts for
18 papers
Half-space KPZ equation from a class of nonlinear SPDEs
Kevin Yang
We derive the half-space KPZ equation as a continuum limit from a general class of Ginzburg-Landau SPDEs under weak nonlinearity scaling. To our knowledge, this is the first half-s…
Time-inhomogeneous KPZ equation from non-equilibrium Ginzburg-Landau SDEs
Kevin Yang
We introduce a framework, which is a mesoscopic-fluctuation-scale analog of Yau's method [46] for hydrodynamic limits, for deriving KPZ equations with time-dependent coefficients f…
Fluctuations for some non-stationary interacting particle systems via Boltzmann-Gibbs Principle
Kevin Yang
Conjecture II.3.6 of Spohn in [Spohn '91] and Lecture 7 of Jensen-Yau in [Jensen-Yau '99] ask for a general derivation of universal fluctuations of hydrodynamic limits in large-sca…
Non-Stationary KPZ equation from ASEP with slow bonds
Kevin Yang
We prove the height functions for a class of non-integrable and non-stationary particle systems converge to the KPZ equation, thereby making progress on the universality of the KPZ…
Hairer-Quastel universality in non-stationarity via energy solution theory
Kevin Yang
The paper addresses probabilistic aspects of the KPZ equation and stochastic Burgers equation by providing a solution theory that builds on the energy solution theory Goncalves-Jar…
KPZ Equation from non-simple variations on open ASEP
Kevin Yang
This paper has two main goals. The first is universality of the KPZ equation for fluctuations of dynamic interfaces associated to interacting particle systems in the presence of op…