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math.PR2021
Point Fields of Last Passage Percolation and Coalescing Fractional Brownian Motions
Konstantin Khanin, Liying Li, Zhanghan Yin
We consider large-scale point fields which naturally appear in the context of the Kardar-Parisi-Zhang (KPZ) phenomenon. Such point fields are geometrical objects formed by points o…
math.PR2021★ 1 cited
On asymptotic behavior of iterates of piecewise constant monotone maps
Konstantin Khanin, Liying Li
In this paper we study the rate of convergence of the iterates of \iid random piecewise constant monotone maps to the time- transport map for the process of coalescing Brownian…