3 papers
math.PR2026
Imry-Ma phenomenon for the hard-core model on
Irene Ayuso Ventura, Leandro Chiarini, Tyler Helmuth +1
The \emph{Imry-Ma phenomenon} refers to the dramatic effect that disorder can have on first-order phase transitions for two-dimensional spin systems. The most famous example is the…
math-ph2025
Simple analyticity criteria for repulsive multi-body potentials
Tyler Helmuth, Marcus Pappik, Will Perkins
We prove a simple, explicit lower bound on the radius of a zero-free disk for Gibbs point processes defined by finite-range, repulsive multi-body interactions. Our lower bound impr…
math.PR2024
Pirogov--Sinai Theory Beyond Lattices
Sarah Cannon, Tyler Helmuth, Will Perkins
Pirogov--Sinai theory is a well-developed method for understanding the low-temperature phase diagram of statistical mechanics models on lattices. Motivated by physical and algorith…