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math.PR2020★ 4 cited
Nonexistence and Uniqueness for Pure States of Ferroelectric Six-Vertex Models
Amol Aggarwal
In this paper we consider the existence and uniqueness of pure states with some fixed slope for a general ferroelectric six-vertex model. First, we show there…
math.PR2020
Eigenvector Statistics of Lévy Matrices
Amol Aggarwal, Patrick Lopatto, Jake Marcinek
We analyze statistics for eigenvector entries of heavy-tailed random symmetric matrices (also called Lévy matrices) whose associated eigenvalues are sufficiently small. We show tha…