2 papers
math.PR2026
Parabolic Anderson Model in the Hyperbolic Space. Part II: Quenched Asymptotics
Xi Geng, Sheng Wang, Weijun Xu
We establish the exact quenched asymptotic growth of the solution to the parabolic Anderson model (PAM) in the hyperbolic space with a regular, stationary, time-independent Gaussia…
math.PR2025
Parabolic Anderson Model in the Hyperbolic Space. Part I: Annealed Asymptotics
Xi Geng, Weijun Xu
We establish the second-order moment asymptotics for a parabolic Anderson model in the hyperbolic space with a regular, stationary Gaussian potential .…