5 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…
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…
Stationary solutions to the stochastic Burgers equation on the line
Alexander Dunlap, Cole Graham, Lenya Ryzhik
We consider invariant measures for the stochastic Burgers equation on , forced by the derivative of a spacetime-homogeneous Gaussian noise that is white in time and smo…
Geometric aspects of a spin chain
Michael Entov, Leonid Polterovich, Lenya Ryzhik
We discuss non-equilibrium thermodynamics of the mean field Ising model from a geometric perspective, focusing on the thermodynamic limit. When the number of spins is finite, the G…