3 papers
math.PR2026
Essential spectrum for Brox-type diffusion processes
Yuichi Shiozawa, Jian Wang
This paper investigates the essential spectrum and compactness property of Markov semigroups generated by multi-dimensional Brox diffusion processes under two types of random media…
math.PR2025
Lyapunov exponents and growth indices for fractional stochastic heat equations with space-time Lévy white noise
Yuichi Shiozawa, Jian Wang
We consider fractional stochastic heat equations with space-time Lévy white noise of the form Here,…
math.PR2024
Spatial asymptotic behaviors of fractional stochastic heat equations driven by additive Lévy white noise
Yuichi Shiozawa, Jian Wang
We establish explicit integral tests for spatial asymptotic behaviors of fractional stochastic heat equations driven by additive Lévy white noise. Our results indicate that fracti…