A Smale-Williams solenoid attractor. (photo credit)
The Dynamical Systems Seminar features research lectures by local, national, and international speakers and includes a broad array of topics of interest in pure and applied dynamics. The seminar currently meets on Mondays from 11:00-11:50.
Mondays 11:00-11:50 am
Speaker: Sovanlal Mondal
One of the fundamental questions in ergodic theory is to classify the sequences of integer times along which the ergodic theorems hold. Motivated by Bourgain’s return times theorem, Donoso, Maass, and Arya-Saavedra recently studied ergodic averages along sequences generated by return times to shrinking targets in rapidly mixing systems. In this talk, we show that their results can be extended to multiple ergodic averages for commuting transformations, as well as to a broader class of sequences.… Read more.
Speaker: Greg Lawler
I will review the Brownian loop measure as a limit of random walk loop measures, its relation to Schramm-Loewner evolutions, and discuss some decompositions into boundary bubbles. We give a formulation of the measure on the unit disk in terms of measure-driven Loewner evolutions and something we call “Brownian bubble tea”. This latter work is part of joint work with Frederik Viklund, Yilin Wang, and Catherine Wolfram. Read more.