Davar Khoshnevisan
Professor of
Mathematics
,
The University of Utah
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Vita
Probability and Statistics in Utah
Memoirs of the AMS
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Transactions of the AMS
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J. of Theoretical Probability
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Bernoulli Journal
Probability & Its Applications
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Progress in Probability
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Lecture Notes in Math
Webpages for previous courses (2012-present):
Link
E-prints [
ArXiV
; research supported by the
NSF
Grants DMS-2245242, DMS-1855439, DMS-1608575, and DMS-1307470]:
Instantaneous everywhere-blowup of parabolic SPDEs
(19 pages; submitted; with Mohammud Foondun and Eulalia Nualart).
Optimal regularity of SPDEs with additive noise
(26 pages; submitted to
EJP
; with Marta Sanz-Solé).
On the valleys of the stochastic heat equation
(22 pages; submitted to the
Ann. Appl. Probab.
).
Dissipation in Parabolic SPDEs II: Oscillation and decay of the solution
(36 pages; submitted; with Kunwoo Kim and Carl Mueller).
Central limit theorems for spatial averages of the stochastic heat equation via Malliavin-Stein's method
(43 pages; submitted to
Stochastics and Partial Diff. Eq.: Analysis & Appl.
; with Le Chen, David Nualart, and Fei Pu).
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).
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Amusing unpublished manuscripts: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")
Link
to SAUCY 2020-21 (COVID Seminar, now discontinued)
Research supported in part by a generous grant by the National Science Foundation
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155 South 1400 East, Room 102, Salt Lake City, UT 84112-0090, Tel:+1 801 581 3896, Fax:+1 801 581 4148