3 papers
math.PR2026
Persistent anisotropy in multi-dimensional branching Brownian motion
Cole Graham, Leonid Mytnik, Lenya Ryzhik
We study angular variation in the frontier of branching Brownian motion (BBM) in multiple dimensions. The time average of this frontier is tied to the long-time limit of the critic…
math.PR2025
Branching Particle Systems with Mutually Catalytic Interactions
Alexandra Jamchi Fugenfirov, Leonid Mytnik
We study a continuous time Mutually Catalytic Branching model on the . The model describes the behavior of two different populations of particles, performing random…
math.PR2025
Stochastic equations with singular drift driven by fractional Brownian motion
Oleg Butkovsky, Khoa Lê, Leonid Mytnik
We consider stochastic differential equation where the drift is either a measure or an integrable function, and is a -dimensional fract…