2 papers
math.AP2026
Large-Time Asymptotics for Heat and Fractional Heat Equations on the Lattice and General Finite Subgraphs
Rui Chen, Bo Li
In this paper, we study large-time asymptotics for heat and fractional heat equations in two discrete settings: the full lattice \(\mathbb Z^d\) and finite connected subgraphs with…
math.PR2024
Behaviors near explosion of nonlinear CSBPs with regularly varying mechanisms
Bo Li, Clément Foucart, Xiaowen Zhou
We study the explosion phenomenon of nonlinear continuous-state branching processes (nonlinear CSBPs). First an explicit integral test for explosion is designed when the rate funct…