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math.PR2026
On the subcritical self-catalytic branching Brownian motions
Haojie Hou, Zhenyao Sun
The self-catalytic branching Brownian motions (SBBM) are extensions of the classical one-dimensional branching Brownian motions by incorporating pairwise branchings catalyzed by th…
math.PR2024
Wright-Fisher stochastic heat equations with irregular drifts
Clayton Barnes, Leonid Mytnik, Zhenyao Sun
Consider the -valued continuous random field solution to the one-dimensional stochastic heat equation \[ \partial_t u_t = \frac{1}{2}Îu…