3 papers
math.PR2025
Non-uniqueness of phase transitions for graphical representations of the Ising model on tree-like graphs
Ulrik Thinggaard Hansen, Frederik Ravn Klausen, Peter Wildemann
We consider the graphical representations of the Ising model on tree-like graphs. We construct a class of graphs on which the loop model and the single random curre…
math.PR2025
Probabilistic Definition of the Schwarzian Field Theory
Roland Bauerschmidt, Ilya Losev, Peter Wildemann
We provide mathematical foundations for the Schwarzian Field Theory as a finite Borel measure on , a quotient of the space o…
math.PR2024
-model and Vertex-Reinforced Jump Process on Regular Trees: Infinite-Order Transition and an Intermediate Phase
Peter Wildemann, Rémy Poudevigne
We explore the supercritical phase of the vertex-reinforced jump process (VRJP) and the -model on rooted regular trees. The VRJP is a random walk, which is more l…