Sydney Dynamics Group Seminar: Maxence Phalempin, University of New South Wales -- Sydney Dynamics group Seminar

Seminar : Sydney Dynamics group Seminar 
Day/time : Thursday, April 16 at 4:00 PM,
Location : SMRI seminar room (A12 Macleay Room 301) 
Speaker : Maxence Phalempin,
University of New South Wales 

Title : Estimation of stationary measure for mean field coupled systems.  

Abstract : A mean-field coupled system is a model of a large collection of dynamical
systems where the dynamics of each of them is perturbed through an averaged interaction
with the states of the remaining systems in that collection.  Methods have been
developed to study stationary measures for such coupled dynamical systems that rely on
fixed-point theorems and the behavior of cocycles generated by a nonlinear
“transfer” operator.  However, these methods and the non linearity of that operator
rule out the explicit identification of such stationary measures and the use of the
classical Ulam method to estimate them.  In this talk, I will present some methods to
estimate the invariant measure in mean-field coupled systems.