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math.PR2023
Scaling limit of stretched Brownian chains
Frank Aurzada, Volker Betz, Mikhail Lifshits
We show that a properly scaled stretched long Brownian chain converges to a two-parametric stochastic process, given by the sum of an explicit deterministic continuous function and…
math.PR2022
Extrema of multinomial assignment process
Mikhail Lifshits, Gilles Mordant
We study the asymptotic behavior of the expectation of the maxima and minima of random assignment process generated by a large matrix with multinomial entries. A variety of results…