50:36
published on February 6, 2026
On some deterministic version of the random walk on $\mathbb{Z}^d$
By Dalia Terhesiu
Introduction to hyperbolic sigma models and Edge Reinforced Random Walk
By Tom Spencer
Appears in collection : Random walks with memory / Marches aléatoires à mémoire
This talk will introduce two statistical mechanics models on the lattice. The spins in these models have a hyperbolic symmetry. Correlations for these models can be expressed in terms of a random walk in a highly correlated random environment. In the SUSY hyperbolic case these walks are closely related to the vertex reinforced jump process and to the edge reinforced random walk. (Joint work with M. Disertori and M. Zirnbauer.)
