Peter R. Wildemann

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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 $O (1)$ 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 $Diff^{1} (T) / PSL (2, R)$ , a quotient of the space o…

math.PR2024

$H^{2∣2}$ -model and Vertex-Reinforced Jump Process on Regular Trees: Infinite-Order Transition and an Intermediate Phase

We explore the supercritical phase of the vertex-reinforced jump process (VRJP) and the $H^{2∣2}$ -model on rooted regular trees. The VRJP is a random walk, which is more l…

Non-uniqueness of phase transitions for graphical representations of the Ising model on tree-like graphs

Probabilistic Definition of the Schwarzian Field Theory

H2∣2-model and Vertex-Reinforced Jump Process on Regular Trees: Infinite-Order Transition and an Intermediate Phase

$H^{2∣2}$ -model and Vertex-Reinforced Jump Process on Regular Trees: Infinite-Order Transition and an Intermediate Phase