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math.PR2021
Rademacher-Gaussian tail comparison for complex coefficients and related problems
Giorgos Chasapis, Ruoyuan Liu, Tomasz Tkocz
We provide a generalisation of Pinelis' Rademacher-Gaussian tail comparison to complex coefficients. We also establish uniform bounds on the probability that the magnitude of weigh…
math.AP2021★ 1 cited
On the two-dimensional singular stochastic viscous nonlinear wave equations
Ruoyuan Liu, Tadahiro Oh
We study the stochastic viscous nonlinear wave equations (SvNLW) on , forced by a fractional derivative of the space-time white noise . In particular, we consider S…