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math.PR2004★ 1 cited
Multi-particle processes with reinforcements
Yevgeniy Kovchegov
We consider a multi-particle generalization of linear edge-reinforced random walk (ERRW). We observe that in absence of exchangeability, new techniques are needed in order to study…
math.PR2004★ 1 cited
Exclusion Processes with Multiple Interactions
Yevgeniy Kovchegov
We introduce the mathematical theory of the particle systems that interact via permutations, where the transition rates are assigned not to the jumps from a site to a site, but to…