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math.PR2026
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…
math.PR2026
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…