"Davar Khoshnevisan, Department of Math, Univ of Utah"

Memoirs of the AMS	\|	Transactions of the AMS	\|	J. of Theoretical Probability
Probability & Its Applications	\|	Progress in Probability	\|	Lecture Notes in Math

Webpages for previous courses (2012-present): Link

E-prints [arXiv; research supported by the NSF Grants DMS-1855439, DMS-1608575, and DMS-1307470]:

Poincaré inequality, and central limit theorems for parabolic stochastic partial differential equations
(31 pages; submitted; with Le Chen, David Nualart, and Fei Pu).
Spatial ergodicity for SPDEs via Poincaré-type inequalities
(40 pages; submitted; with Le Chen, David Nualart, and Fei Pu).
Dissipation in parabolic SPDEs
(32 pages; submitted; with Kunwoo Kim, Carl Mueller, and Shang-Yuan Shiu).
Analysis of a stratified Kraichnan flow
(84 pages; submitted; with Jingyu Huang).
Dense blowup for parabolic SPDEs
(39 pages; submitted; with Le Chen, Jingyu Huang, and Kunwoo Kim).
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Amusing unpublished manuscripts:

On a family of polynomials (Pdf; revised: 4/08/07)
Schoenberg's theorem via the law of large numbers (Pdf)
A facsimile of John Walsh's "A Lost Scroll" (must read for aficionados of "Théorie du générale")

Upcoming Local Conference	Frontier Probability Days, 2020 (UNLV)

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