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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.PR2025
Sharp barrier estimates for Bessel bridges
Leandro Chiarini, Ellen Powell
In this article, we derive precise estimates for the probability that a Bessel bridge of dimension and end points and stays below the linear barrier …
math.PR2025
Gaussian free field and Liouville quantum gravity
Nathanaël Berestycki, Ellen Powell
Over fourty years ago, the physicist Polyakov proposed a bold framework for string theory, in which the problem was reduced to the study of certain "random surfaces". He further ma…