77 citations · 576 across the 59 of their papers we have counts for
68 papers
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…
On the uniform bound of solutions to a thermo-diffusive system
Kirill Leontev, Lenya Ryzhik
We prove a global-in-time uniform bound for solutions to thermo-diffusive systems of reaction-diffusion equations with initial conditions.
Mean Field Games without Rational Expectations
Benjamin Moll, Lenya Ryzhik
Mean Field Game (MFG) models implicitly assume "rational expectations", meaning that the heterogeneous agents being modeled correctly know all relevant transition probabilities for…
A Contact Topological Glossary for Non-Equilibrium Thermodynamics
Michael Entov, Leonid Polterovich, Lenya Ryzhik
We discuss the occurrence of some notions and results from contact topology in the non-equilibrium thermodynamics. This includes the Reeb chords and the partial order on the space…
Diffusion of knowledge and the lottery society
Henri Berestycki, Alexei Novikov, Jean-Michel Roquejoffre +1
The Lucas-Moll system is a mean-field game type model describing the growth of an economy by means of diffusion of knowledge. The individual agents in the economy advance their kno…
Branching Brownian motion with generation-dependent diffusivity and nonlocal partial differential equations
Alexander Dunlap, Lenya Ryzhik
We study a voting model on a branching Brownian motion process on in which the diffusivity of each child particle is increased from that of the parent by a factor of $…