Professor and Chair of
Mathematics,
The University of Utah
Contact Info |
Hours |
Faculty profile |
Books |
Collaborators |
Lecture Notes |
Publications |
Vita
Probability and Statistics in Utah
Webpages for previous courses (2012-present):
Link
E-prints [
ArXiV; research supported by the
NSF Grants DMS-1855439, DMS-1608575, and DMS-1307470]:
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Phase analysis of a family of stochastic reaction-diffusion equations
(69 pages; submitted; with Kunwoo Kim, Carl Mueller, and Shang-Yuan Shiu).
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Central limit theorems for spatial averages of the
stochastic heat equation via Malliavin-Stein's method
(43 pages; submitted; with Le Chen, David Nualart, and Fei Pu).
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Spatial stationarity, ergodicity and CLT for parabolic Anderson model with
delta initial condition in dimension d≥1
(50 pages; submitted to SIAM Journal of Mathematical Analysis; with David Nualart and Fei Pu).
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Spatial ergodicity and central limit theorems for parabolic Anderson model with delta initial
condition
(27 pages; submitted; with Le Chen, David Nualart, and Fei Pu).
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A CLT for dependent random variables, with an application to an infinite system of interacting
diffusion processes
(15 pages; submitted with Le Chen, David Nualart and Fei Pu).
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Poincaré inequality, and central limit theorems for parabolic stochastic
partial differential equations
(31 pages; submitted; with Le Chen, David Nualart, and Fei Pu).
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Spatial ergodicity for SPDEs via Poincaré-type inequalities
(40 pages; submitted; 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Amusing unpublished manuscripts:
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Biweekly online national seminar |
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Stochastic
Analysis
Under
COVID --
Year
20202021 |
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Research supported in part by a generous grant by the National Science Foundation
