Biased random walk on dynamical percolation (attention séance un jeudi)

Quand : 4 juin 2026 à 10:30

Où : IHP, 11 rue Pierre et Marie Curie, Paris 5e

Organisé par : Institut Henri Poincaré

As an example for a random walk in random environment, we study biased random walk for dynamical percolation on the d-dimensional lattice. We establish a law of large numbers and an invariance principle for this random walk using regeneration times. Moreover, we verify that the Einstein relation holds, and we investigate the speed of the walk as a function of the bias. While for d = 1 the speed is