Professor and Chair of
Mathematics,
The University of Utah
Contact Info 
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Vita
Probability and Statistics in Utah
Webpages for previous courses (2012present):
Link
Eprints [
ArXiV; research supported by the
NSF Grants DMS1855439, DMS1608575, and DMS1307470]:

Phase analysis of a family of stochastic reactiondiffusion equations
(69 pages; submitted; with Kunwoo Kim, Carl Mueller, and ShangYuan Shiu).

Central limit theorems for spatial averages of the
stochastic heat equation via MalliavinStein's method
(43 pages; submitted to Stochastics and Partial Diff. Eq.:Analysis & Appl.;
with Le Chen, David Nualart, and Fei Pu).

Spatial stationarity, ergodicity and CLT for parabolic Anderson model with
delta initial condition in dimension d≥1
(50 pages; submitted to SIAM J. Math. Analysis; with David Nualart and Fei Pu).

Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial
condition
(27 pages; submitted the J. Functional Analysis; (with Le Chen, David Nualart, and Fei Pu).

A CLT for dependent random variables, with an application to an infinite system of interacting
diffusion processes
(15 pages; submitted to Proceedings of the Amer. Math. Soc.; with Le Chen, David Nualart and Fei Pu).

Poincaré inequality, and central limit theorems for parabolic stochastic
partial differential equations
(31 pages; submitted to Ann. Instit. H. Poincaré;
with Le Chen, David Nualart, and Fei Pu).

Spatial ergodicity for SPDEs via Poincarétype inequalities
(40 pages; submitted to Electr. J. Probab.; with Le Chen, David Nualart, and Fei Pu).
 Weak existence of a solution to
a differential equation driven by a very rough fBm
(20 pages; submitted; with Jason Swanson, Yimin Xiao, and Liang Zhang).
Amusing unpublished manuscripts:
Biweekly online national seminar 
Stochastic
Analysis
Under
COVID 
Year
20202021 

Research supported in part by a generous grant by the National Science Foundation