Student Dynamics Archives for Academic Year 2018


Topologically Mixing Interval Exchange Transformations

When: Tue, September 5, 2017 - 3:30pm
Where: Kirwan Hall 2400
Speaker: Jenny Rustad (UMD) -


Ergodic Theory of Systems with Random Switching

When: Tue, September 12, 2017 - 3:30pm
Where: Kirwan Hall 2400
Speaker: Kasun Fernando (UMD) -
Abstract: This is an overview of the work titled “Invariant densities for dynamical systems with random switching” by Yuri Bakhtin and Tobias Hurth published in Nonlinearity in 2012. In the paper they provide sufficient conditions for the existence of a unique ACIP for the random dynamical system resulting from an nonautonomous ODE with RHS that randomly switches among a finite family of smooth vector fields.

A Central Limit Theorem for the Kontsevich-Zorich Cocycle

When: Tue, September 19, 2017 - 3:30pm
Where: Kirwan Hall 2400
Speaker: Hamid Al-Saqban (UMD) -


Piecewise Smooth Fermi Ulan Pingpong with Potential

When: Tue, September 26, 2017 - 3:30pm
Where: Kirwan Hall 2400
Speaker: Jing ZHOU (UMD) -


The Automorphism Tower Problem

When: Tue, October 24, 2017 - 3:30pm
Where: Kirwan Hall 2400
Speaker: Jianlong Liu (UMD) -


Mixing in Special Flows on T^2

When: Tue, October 31, 2017 - 3:30pm
Where: Kirwan Hall 2400
Speaker: Hsin-Yi Lin (UMD) -


Almost Sure Invariance Principles (ASIPs)

When: Tue, February 13, 2018 - 3:15pm
Where: Kirwan Hall 1310
Speaker: Kasun Fernando (UMD) -
Abstract: ASIPs tell us that trajectories of dynamical systems are almost like Brownian motion trajectories with an error small compared to the size of the trajectories. In this talk we present how these extremely useful results can be obtained via the Nagaev Guivarc'h method.