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20142026
most citedStationary patterns and their selection mechanism of Urban crime models with heterogeneous near-repeat victimization effect

37 citations · 37 across the 6 of their papers we have counts for

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math.PR2024

Integration by parts and invariant measure for KPZ

Yu Gu, Jeremy Quastel

Using Stein's method and a Gaussian integration by parts, we provide a direct proof of the known fact that drifted Brownian motions are invariant measures (modulo height) for the K…

math.PR2024

Periodic Pitman transforms and jointly invariant measures

Ivan Corwin, Yu Gu, Evan Sorensen

We construct explicit jointly invariant measures for the periodic KPZ equation (and therefore also the stochastic Burgers' and stochastic heat equations) for general slope paramete…

math.PR2024

Some recent progress on the periodic KPZ equation

Yu Gu, Tomasz Komorowski

We review recent progress on the study of the Kardar-Parisi-Zhang (KPZ) equation in a periodic setting, which describes the random growth of an interface in a cylindrical geometry.…