Isaac Sonin, UNC Charlotte

*Title: *Monotonicity of the Invariant Distribution for a Markov Chain

October 28, 2018 by Michael Grabchak

Categories: Probability Seminar

Isaac Sonin, UNC Charlotte

*Title: *Monotonicity of the Invariant Distribution for a Markov Chain

October 20, 2018 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *Dyson Vladimirov Laplacian and corresponding Brownian motion

October 14, 2018 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *Darboux’s Formula, Maclaurin summation formula, and connections with the Zeta Function

September 28, 2018 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *An Introduction To Bernoulli Polynomials

September 22, 2018 by Michael Grabchak

Categories: Probability Seminar

Michael Grabchak, UNC Charlotte

*Title: *Limit Theorems for Random Exponentials

September 08, 2018 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *Rhapsody on a theme of Abbas

April 15, 2018 by Michael Grabchak

Categories: Probability Seminar

Isaac Sonin, UNC Charlotte and Li Liu, UNC Charlotte

*Title: *On Group Testing and A Locks and Bombs Model

April 02, 2018 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *Heavy-tailed random Schrödinger operators

March 25, 2018 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *On Hilbert’s 10th Problem, or What did Julia Robinson and Yuri Matiyasevich prove? (Part 2)

March 17, 2018 by Michael Grabchak

Categories: Probability Seminar

Leonid Koralov, University of Maryland College Park

*Title: *Large Time Behavior of Randomly Perturbed Dynamical Systems

*Abstract: *We will discuss several asymptotic problems for randomly perturbed flows (and related problems for Markov chains with rare transitions). One class of flows (with regions where a strong flow creates a trapping mechanism) leads to a new class of elliptic and parabolic boundary value problems with non-standard boundary conditions. The same boundary value problems appear as a limiting object when studying the asymptotic behavior of diffusion processes with pockets of large diffusivity.

We will also discuss how large-deviation techniques can be used to study the asymptotic behavior of solutions to quasi-linear parabolic equations with a small parameter at the second order term and the long time behavior of the corresponding diffusion processes.