Davar Khoshnevisan

Professor and Chair of Mathematics, The University of Utah
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Probability and Statistics in Utah

Springer Lecture Notes in Math.
Probability & its Appl. | Progress in Probability
The Annals of Probability
Journal of Theoretical Probability

Webpages for previous courses (2012-): Link

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

• Global solutions to reaction-diffusion equations with super-linear drift and multiplicative noise
  (37 pages; submitted; with Robert C. Dalang and Tusheng Zhang).
• A macroscopic multifractal analysis of parabolic stochastic PDEs
  (41 pages; submitted; with Kunwoo Kim and Yimin Xiao).
• On the multifractal local behavior of parabolic stochastic PDEs
  (13 pages; submitted; with Jingyu Huang).
• Dense blowup for parabolic SPDEs
  (39 pages; submitted; with Le Chen, Jingyu Huang, and Kunwoo Kim).
• On the macroscopic fractal geometry of some random sets
  (24 pages; 5 figures; submitted; with Yimin Xiao).
• The dimension of the range of a random walk
  (37 pages; submitted; with Nicos Georgiou, Kunwoo Kim, and Alex D. Ramos).
• 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Amusing unpublished manuscripts: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")

Other, Future/Recent Events (see also "Seminar" below)

Research supported in part by the National Science Foundation

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