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Stanislav Volkov

Some Proofs for Vertex-Reinforced Jump Processes

Abstract: Vertex-reinforced jump process (VRJP) is a continuous-time analog of Pemantle's vertex-reinforced random walk, based on the exponential waiting times and real-time accumulation of local times. After presenting some background of these processes. I am actually going to demonstrate the machinery involved in proving results about VRJP, a stochastic process in self-created random medium.