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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
Log-concave polynomials arise naturally in combinatorics, geometry, and probability. We introduce a natural family of random log-concave polynomials and study their limiting root d…