3 papers
math.PR2026
Trimmed branching random walk and a free obstacle problem
Rami Atar, Leonid Mytnik, Gershon Wolansky
Consider particles performing random walks on the -grid , with branching and density-dependent selection: When one of the particles branches, a particle is rem…
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…
math.PR2024
Analytically weak and mild solutions to stochastic heat equation with irregular drift
Siva Athreya, Oleg Butkovsky, Khoa Lê +1
Consider the stochastic heat equation \begin{equation*} \partial_t u_t(x)=\frac12 \partial^2_{xx}u_t(x) +b(u_t(x))+\dot{W}_{t}(x),\quad t\in(0,T],\, x\in D, \end{equation*} where $…