Stanislav Molchanov, UNC Charlotte

*Title: *Homogenization of Periodic Structures with Biological Applications

November 10, 2016 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *Homogenization of Periodic Structures with Biological Applications

November 02, 2016 by Michael Grabchak

Categories: Probability Seminar

Yongge Wang, UNC Charlotte

October 24, 2016 by Michael Grabchak

Categories: Probability Seminar

Amod Basnet, UNC Charlotte

*Title: *Parallel computation of invariant distribution for Markov Chains with Islands and Ports

October 17, 2016 by Michael Grabchak

Categories: Probability Seminar

Isaac Sonin, UNC Charlotte

*Title: *Censored Markov chains and their applications.

October 11, 2016 by Michael Grabchak

Categories: Probability Seminar

Boris Khoruzhenko, Queen Mary University of London

*Title: *How many stable equilibria will a large complex system have?

Abstract: In 1972 Robert May argued that (generic) complex systems become unstable to small displacements from equilibria as the system complexity increases. In search of a global signature of this instability transition, we consider a class of nonlinear dynamical systems whereby N degrees of freedom are coupled via a smooth homogeneous Gaussian vector field. Our analysis shows that with the increase in complexity, as measured by the number of degrees of freedom and the strength of interactions relative to the relaxation strength, such systems undergo an abrupt change from a simple set of equilibria (a single stable equilibrium for N large) to a complex set of equilibria. Typically, none of these equilibria are stable and their number is growing exponentially with N. This suggests that the loss of stability manifests itself on the global scale in an exponential explosion in the number of equilibria. [My talk based on a joint paper with Yan Fyodorov and on an unpublished work with Gerard Ben Arous and Yan Fyodorov]

October 04, 2016 by Michael Grabchak

Categories: Probability Seminar

Kevin McGoff, UNC Charlotte

*Title: *Random subshifts of finite type Part 3

September 14, 2016 by Michael Grabchak

Categories: Probability Seminar

Kevin McGoff, UNC Charlotte

*Title: *Random subshifts of finite type: Tools and methods

September 14, 2016 by Michael Grabchak

Categories: Probability Seminar

Kevin McGoff, UNC Charlotte

*Title: *Random subshifts of finite type: An introduction

September 12, 2016 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *Symmetric random walks on dense subgroups of the real line: local and quasilocal theorems (Part 2)

August 30, 2016 by Michael Grabchak

Categories: Probability Seminar

Stanislav Molchanov, UNC Charlotte

*Title: *Symmetric random walks on dense subgroups of the real line: local and quasilocal theorems