GU, YU 谷雨
 Email: yg1 AT stanford DOT edu
 Office Address:
Department of Mathematics, Office 382C
Building 380, Stanford University
Stanford, CA 94305, USA
Employment:
 Szegö Assistant Professor, Stanford University, 2014  present
Education:
 Ph.D. Applied Mathematics, Columbia University, 2010  2014
 M.S. Applied Mathematics, Brown University, 2009  2010
 B.S. Mathematics and Physics, Tsinghua University, China, 2005  2009
Research Interests:
My research interest lies in the general areas of partial differential equations and probability, in particular, stochastic homogenization, wave propagation in random media, SPDE, probabilistic methods in mathematical physics. I did my PhD under the supervision of Prof. Guillaume Bal at Columbia University. I was a research member of MSRI in fall 2015. My research is supported by NSF grant DMS1613301.
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), Preprint, 2012.
 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), Stochastic 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), to appear in Communications in Mathematical Sciences, 2016.
 A central limit theorem for fluctuations in 1D stochastic homogenization. Stochastic Partial Differential Equations: Analysis and Computations, 4 (2016), No. 4, pp. 713745.
 On generalized Gaussian free fields and stochastic homogenization. (with J.C. Mourrat), Submitted, 2016.
 High order correctors and twoscale expansions in stochastic homogenization. to appear in Probability Theory and Related Fields, 2016.
 KardarParisiZhang equation and large deviations for random walks in weak random environments. (with I. Corwin), to appear in Journal of Statistical Physics, 2016.
 Heat kernel upper bounds for interacting particle systems. (with A. Giunti, J.C. Mourrat), Submitted, 2016.
Last Update: September
2016