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math.PR2026
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…
math.PR2026
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…
math.PR2025
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…