Yu GU's homepage - UMD
GU, YU 谷雨 . Email: [email protected]; Office Address: 2313 Kirwan Hall About me: I am an associate professor at University of Maryland, College Park. I obtained my PhD from Columbia in 2014 and did a postdoc at Stanford in 2014-2017. I was a research member of MSRI in fall 2015. I was an assistant professor at CMU in 2017-2021.
YU GU Abstract. This is the lecture note for a course I taught in spring 2022 at the University of Maryland, College Park. It is mostly about the analysis on Gaussian space and how integration by parts can be useful in di erent contexts. The three examples we consider are (i) …
YU GU, LI-CHENG TSAI Abstract. For the heat equation driven by a smooth, Gaussian random potential: @tu" = 1 2 u" + u"(˘" c"); t>0;x2R; where ˘" converges to a spacetime white noise, and c" is a diverging constant chosen properly, we prove that u" converges in Ln to the solution of the stochastic heat equation for any n>1. Our proof is ...
Alexander Dunlap* Yu Gu† Abstract We consider a nonlinear stochastic heat equation in spatial dimension 3=2, forced by a white-in-time multiplicative Gaussian noise with spatial correlation length Y¡0 but divided by a factor of p logY1. We impose a condition on the Lipschitz constant of the nonlinearity so that the problem is in the “weak
IVAN CORWIN AND YU GU Abstract. We consider the transition probabilities for random walks in 1 + 1 dimensional space-time random environments (RWRE). For critically tuned weak disorder we prove a sharp large deviation result: after appropriate …
6 yu gu, tomasz komorowski Formula (3.7) shows that our highly oscillatory initial data localizes at x =0. To“smear”theobservedpositionaround0 weintroducealsothe smoothedWigner
Yu Gu Guillaume Bal September 29, 2014 Abstract In this paper, we present a uctuation analysis of a type of parabolic equations with large, highly oscillatory, random potentials around the homogenization limit. With a Feynman-Kac representation, the Kipnis-Varadhan’s method, and a quantitative martingale central limit the-
6 YU GU, CHRISTOPHER HENDERSON TheresultsinProposition1.4showthatt2~3Yg(t)Y ∞andt2~3Yg(t)Y2 2 getarbitrarily close to θ crit infinitely often; however, they do not rule out the possibility that thesequantitiesmakenon-trivialoscillationsaroundθ crit.Werecallthediscussion
ofcorrelationsofΨ(t,x) doesnotallowustoapplythecentrallimittheoremdirectlytointegralsonthemacroscopicscaleε−1,thinkingoftheintegralasasumoverε−dboxes.Inasense ...
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