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20242026
most citedWeak uniqueness for singular stochastic equations

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math.PR2025

Weak Existence and Uniqueness for Super-Brownian Motion with Irregular Drift

Leonid Mytnik, Johanna Weinberger

We establish weak existence and uniqueness for random field solutions of the one-dimensional SPDE \[ d_tX_t = \frac{1}{2}ΔX_t +h(X_t)+ \sqrt{X_t}\dot{W}, \quad t\geq 0,\] where $\d…

math.PR2025

Uniqueness and Longtime Behavior of the Completely Positively Correlated Symbiotic Branching Model

Eran Avneri, Leonid Mytnik

The symbiotic branching model in describes the behavior of two branching populations migrating in space in terms of a corresponding system of stochastic p…