Speaker: Ivan Matic, CUNY
ABSTRACT
Each site of the integer lattice contains a direction that the walker must follow upon visiting that site. The initial distribution of these directions is IID, but the directions do not change once the walk begins. If the first $K$ visits (for some fixed $K$) to a particular site in the lattice are followed by random jumps, but the visits after the $K$-th are deterministic, we are dealing with the process called deterministic walk in an excited random environment. These two models do not posses Markov property and are related to the class of random walks in random environments. We will discuss laws of large numbers, central limit theorems, and large deviations for these types of walks. The talk is based on joint work with David Sivakof.