4 papers
Persistence and entropic repulsion of stationary Gaussian fields with spectral singularity at the origin
Naomi Feldheim, Ohad Feldheim, Stephen Muirhead
We compute the exact log-asymptotics of the persistence probability, and determine the entropic repulsion profile conditioned on persistence, for general -dimensional stationary…
Limiting Root Distribution of Random Log-concave Polynomials
Ohad Noy Feldheim, Arnab Sen
We introduce two probabilistic models of random log-concave polynomials, the uniform model and the beta model, and study the asymptotic distribution of their zeros in the complex p…
The Containment Game in the plane: between the Firefighter Problem and Conway's Angel Problem
Ohad Noy Feldheim, Itamar Israeli
The containment game is a full information game for two players, initialised with a set of occupied vertices in an infinite connected graph . On the -th turn, the first playe…
Persistence and Ball Exponents for Gaussian Stationary Processes
Naomi Feldheim, Ohad Feldheim, Sumit Mukherjee
Consider a real Gaussian stationary process , indexed on either or and admitting a spectral measure . We study $θ_Ï^\ell=-\lim\limits_{T\to\in…