Stationary measures for random walks on surfaces

Series
School of Mathematics Colloquium
Time
Thursday, January 16, 2025 - 11:00am for 1 hour (actually 50 minutes)
Location
Skiles 005 and https://gatech.zoom.us/j/94869649462?pwd=pPFAzFU4VaW99KqRG2BXGUlMBcnlbD.1
Speaker
Aaron Brown – Northwestern University – awb@northwestern.eduhttps://sites.math.northwestern.edu/~awb/
Organizer
Alex Dunn, Xiaoyu He, Rose McCarty, Dmitrii Ostrovskii, and Wei Zhu

Please Note: Meeting ID: 948 6964 9462 Passcode: 647751

Dynamical systems exhibiting some degree of hyperbolicity often admit “fractal" invariant objects.  However, extra symmetries or “randomness” in the system often preclude the existence of such fractal objects.

I will give some concrete examples of the above and then discuss problems and results related to random dynamics and group actions on surfaces.  I will especially focus on questions related to absolute continuity of stationary measures.