GU, YU 谷雨
 Email: ygu7@umd.edu
 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 20142017. I was a research member of MSRI in fall 2015. I was an assistant professor at CMU in 20172021.
 My general interest is in the study of random dynamics and nonequilibrium statistical mechanics. I have worked on stochastic homogenization, wave propagation in random media, and more recently on stochastic PDE.
 My research has been supported by NSF grant DMS1613301/1807748/1907928/CAREER2042384.
Conferences at UMD:
Teaching
 MATH 858T Stochastic Methods with Applications, UMD spring 2023.
 STAT 600 Probability Theory I, UMD fall 2022.
 A course on the analysis on Gaussian space taught at UMD in spring 2022. Lecture note can be found here.
 A note on stochastic heat equation and KPZ equation, which can be found here.
Publication:

Corrector theory for elliptic equations with oscillatory and random potentials with long range correlations. (with G. Bal, J. Garnier and W. Jing),
Asymptotic Analysis, 77 (2012), No. 34, pp. 123145.
 Random homogenization and convergence to integrals with respect to the Rosenblatt process. (with G. Bal),
Journal of Differential Equations, 253 (2012), No. 4, pp. 10691087.
 Radiative transport limit of Dirac equation with time dependent electromagnetic field. (with G. Bal, O. Pinaud), Communications in Partial Differential Equations, 43 (2018), No. 5, pp. 699732.
 Nonlocal vs local forward equations for option pricing. (with R. Cont),
Preprint, 2012.
 An invariance principle for Brownian motion in random scenery. (with G. Bal), Electronic Journal of Probability, 19 (2014), No. 1, pp. 119.
 Weak convergence approach for parabolic equations with large, highly oscillatory, random potential. (with G. Bal), Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 52 (2016), No. 1, pp. 261285.
 Limiting models for equations with large random potential; a review. (with G. Bal), Communication in Mathematical Sciences, 13 (2015), No. 3, pp. 729748.
 Homogenization of parabolic equations with large timedependent random potential. (with G. Bal), Stochastic Processes and their Applications, 125 (2015), No. 1, pp. 91115.
 Fluctuations of parabolic equations with large random potentials. (with G. Bal), Stochastics and Partial Differential Equations: Analysis and Computations, 3 (2015), No. 1, pp. 151.
 Pointwise twoscale expansion for parabolic equations with random coefficients. (with J.C. Mourrat), Probability Theory and Related Fields, 166 (2016), No. 1, pp. 585618.
 Scaling limit of fluctuations in stochastic homogenization. (with J.C. Mourrat), Multiscale Modeling and Simulation, 14 (2016), No. 1, pp. 452481.
 The random Schrödinger equation: homogenization in
timedependent potentials. (with L. Ryzhik), Multiscale Modeling and Simulation, 14 (2016), No. 1, pp. 323363.
 The random Schrödinger equation: slowly decorrelating timedependent potentials. (with L. Ryzhik), Communications in Mathematical Sciences, 15 (2017), No. 2, pp. 359378.
 A central limit theorem for fluctuations in 1D stochastic homogenization. Stochastics and Partial Differential Equations: Analysis and Computations, 4 (2016), No. 4, pp. 713745.
 On generalized Gaussian free fields and stochastic homogenization. (with J.C. Mourrat), Electronic Journal of Probability, 22 (2017), No. 28, pp. 121.
 High order correctors and twoscale expansions in stochastic homogenization. Probability Theory and Related Fields, 169 (2017), No. 3, pp. 12211259.
 KardarParisiZhang equation and large deviations for random walks in weak random environments. (with I. Corwin), Journal of Statistical Physics, 166 (2017), No. 1, pp. 150168.
 Heat kernel upper bounds for interacting particle systems. (with A. Giunti, J.C. Mourrat), Annals of Probability, 47 (2019), No. 2, pp. 10561095.
 Moments of 2D Parabolic Anderson Model. (with W. Xu), Asymptotic Analysis, 108 (2018), No. 3, pp. 151161.
 The Schrödinger equation with spatial white noise: the average wave function. (with T. Komorowski, L. Ryzhik), Journal of Functional Analysis, 274 (2018), No. 7, pp. 21132138.
 The EdwardsWilkinson limit of the random heat equation in dimensions three and higher. (with L. Ryzhik, O. Zeitouni), Communications in Mathematical Physics, 363 (2018), No. 2, pp. 351388.
 Chaos expansion of 2D parabolic Anderson model. (with J. Huang), Electronic Communications in Probability, 23 (2018), No. 26, pp. 110.
 Another look into the WongZakai theorem for stochastic heat equation. (with L.C. Tsai), Annals of Applied Probability, 29 (2019), No. 5, pp. 30373061.
 Fluctuations of random semilinear advection equations. (with T. Komorowski, L. Ryzhik), SIAM Journal on Mathematical Analysis, 50 (2018), No. 5, pp. 52935336.
 The 1D Schrödinger equation with a spacetime white noise: the average wave function. ESAIM: Probability and Statistics, 23 (2019), pp. 338349.
 The random heat equation in dimensions three and higher: the homogenization viewpoint. (with A. Dunlap, L. Ryzhik, O. Zeitouni), Archive for Rational Mechanics and Analysis, 242 (2021), pp. 827–873.
 Fluctuations of the solutions to the KPZ equation in dimensions three and higher. (with A. Dunlap, L. Ryzhik, O. Zeitouni), Probability Theory and Related Fields, 176 (2020), pp. 12171258.
 Gaussian fluctuations from the 2D KPZ equation. Stochastics and Partial Differential Equations: Analysis and Computations, 8 (2020), pp. 150185.
 Moments of the 2D SHE at criticality. (with J. Quastel, L.C. Tsai), Probability and Mathematical Physics, 2 (2021), No. 1, pp. 179219.
 Fluctuations of a nonlinear SHE in dimensions three and higher. (with J. Li), SIAM Journal on Mathematical Analysis, 52 (2020), No. 6, pp. 54225440.
 A PDE hierarchy for directed polymers in random environments. (with C. Henderson), Nonlinearity, 34 (2021), pp. 7335–7370.
 Gaussian fluctuations from random Schrödinger equation. (with T. Komorowski), Communications in Partial Differential Equations, 46 (2021), No. 2, pp. 201232.
 A forwardbackward SDE from the 2D nonlinear stochastic heat equation. (with A. Dunlap), Annals of Probability, 50 (2022), No. 3, pp. 12041253.
 Longtime behavior for a nonlocal model from directed polymers. (with C. Henderson), submitted, 2020.
 KPZ on torus: Gaussian fluctuations. (with T. Komorowski), submitted, 2021.
 A quenched local limit theorem for stochastic flows. (with A. Dunlap), Journal of Functional Analysis, 282 (2022), no. 6, 109372.
 High temperature behaviors of the directed polymer on a cylinder. (with T. Komorowski), Journal of Statistical Physics, 186, 48 (2022).
 Fluctuation exponents of the KPZ equation on a large torus. (with A. Dunlap, T. Komorowski), to appear in Communications on Pure and Applied Mathematics, 2022.
 Gaussian fluctuations of replica overlap in directed polymers. (with T. Komorowski), Electronic Communications in Probability, 27: 112 (2022).
 Another look at the BalázsQuastelSeppäläinen theorem. (with T. Komorowski), to appear in Transactions of the American Mathematical Society, 2022.
 Fluctuations of the winding number of a directed polymer on a cylinder. (with T. Komorowski), submitted, 2022.
 Localization length of the 1+1 continuum directed random polymer. (with A. Dunlap, L. Li), submitted, 2022.