The point of view of the particle for 2D random walks in Dirichlet environment

Random Walks in random Dirichlet Environment (RWDE) is the model of random walks in random environment with i.i.d. Dirichlet distributed transition probabilities at each site. With this choice of environment the annealed process is the directed Edge Reinforced Random walk. In this talk I will explain a new formula for this model, inspired by some computations done for the Vertex Reinforced Jump Process (in fact the *-VRJP), and explain some consequences on the existence or non-existence of the invariant measure for the process viewed from the particle.

• Speaker: Christophe Sabot (Lyon)
• Tuesday 19 November 2024, 14:00–15:00
• Venue: MR12.
• Series: Probability; organiser: Perla Sousi.