The Weyl Law for the phase transition spectrum and density of limit interfaces

• Published in: Geometric and functional analysis Vol. 29; no. 2; pp. 382 - 410
• Main Authors: Gaspar, Pedro, Guaraco, Marco A. M.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.04.2019; Springer Nature B.V
• Subjects: Analysis; Density; Hyperspaces; Mathematics; Mathematics and Statistics; Phase transitions

We prove a Weyl Law for the phase transition spectrum based on the techniques of Liokumovich–Marques–Neves. As an application we give phase transition adaptations of the proofs of the density and equidistribution of minimal hypersufaces for generic metrics by Irie–Marques–Neves and Marques–Neves–Son...