E-prints

E-prints available on Arxiv -- research supported by the NSF Grant DMS-2245242

• The ergodic theory of SPDEs in a weak-noise regime

(49 pages; submitted; with Mathew Joseph, Kunwoo Kim, and Carl Mueller).

• On the slow points of fractional Brownian motion

(15 pp, submitted; with Cheuk Yin Lee).

• Points of slow growth for parabolic SPDEs
  (29 pp, submitted; with Cheuk Yin Lee).

• Uniform dimension theorems for parabolic SPDEs
  (39 pp, submitted; with Cheuk Yin Lee, Fei Pu, and Yimin Xiao).

• On the local well-posedness of randomly forced reaction-diffusion equations with L2 initial data and a superlinear reaction term (29 pages; submitted to Probab. Th. Rel. Fields; with Mohammud Foondun and Eulalia Nualart).

• An Invariance Principle for some Reaction-Diffusion Equations with a Multiplicative Random Source
  (42 pp; submitted; with Kunwoo Kim and Carl Mueller).

• On the passage times of self-similar Gaussian processes on curved boundaries
  (25 pp; to appear in Bernoulli; with Cheuk Yin Lee).