32 citations · 203 across the 43 of their papers we have counts for
46 papers · 1 filter
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…
Exceptional times for the instantaneous propagation of superprocess
Jieliang Hong, Leonid Mytnik
For a Dawson-Watanabe superprocess on , it is shown in Perkins (1990) that if the underlying spatial motion belongs to a certain class of Lévy processes that admi…
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…
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…
On the coming down from infinity of coalescing Brownian motions
Clayton Barnes, Leonid Mytnik, Zhenyao Sun
Consider a system of Brownian particles on the real line where each pair of particles coalesces at a certain rate according to their intersection local time. Assume that there are…
Longtime behavior of completely positively correlated Symbiotic Branching Model
Patric Karl Glöde, Leonid Mytnik
We study the longtime behavior of a continuous state Symbiotic Branching Model (SBM). SBM can be seen as a unified model generalizing the Stepping Stone Model, Mutually Catalytic B…