4 papers
maximal inequalities for Gaussian subordination with applications to Breuer--Major--Donsker principles
Dionysis Milesis, Guangqu Zheng
In this paper, we establish an maximal inequality for partial sums of Gaussian-subordinated random variables. More precisely, let belong to $L^2(γ…
Gamma approximation and Poisson--Gaussian invariance principle on Poisson chaos
Dionysis Milesis, Guangqu Zheng
We study centered Gamma approximation and a same-kernel Poisson--Gaussian invariance principle on fixed Poisson chaoses. For Gamma approximation, a martingale-core argument extends…
Global in time solutions to stochastic reaction-diffusion systems with superlinear reactions satisfying a triangular control of mass
Dionysis Milesis, Michael Salins
We study systems of reaction-diffusion equations perturbed by multiplicative noise, where the reaction terms satisfy quasipositivity, a triangular mass-control structure, and polyn…
Efficient optimization-based invariant-domain-preserving limiters in solving gas dynamics equations
Chen Liu, Dionysis Milesis, Chi-Wang Shu +1
We introduce effective splitting methods for implementing optimization-based limiters to enforce the invariant domain in gas dynamics in high order accurate numerical schemes. The…