R'emy Poudevigne

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math.PR2025

A random polymer approach to the weak disorder phase of the vertex reinforced jump process

Quentin Berger, Alexandre Legrand, RÃ©my Poudevigne +1

In this paper, we study the transient phase of the Vertex Reinforced Jump Process (VRJP) in dimension $d \geq 3$ . In Sabot, Zeng (2019), the authors introduce a positive martingale…

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…

A random polymer approach to the weak disorder phase of the vertex reinforced jump process

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