Toward a smooth ergodic theory for infinite dimensional systems
New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Location: MSRI: Simons Auditorium
infinite-dimensional dynamical systems
Focusing on settings that are consistent with semi-flows defined by
dissipative parabolic PDEs, I will discuss some first steps toward
building a dynamical systems theory, in particular a theory of chaotic
systems, for maps and semi-flows in Hilbert and Banach spaces.
I will survey known results and present recent progress, including
theorems on Lyapunov exponents, periodic solutions and horseshoes,
entropy formula and SRB measures, and a notion of “almost every”
initial condition that is natural to the underlying dynamics. Technical
differences between finite and infinite dimensions will also be discussed
If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.
See more of our Streaming videos on our main VMath Videos page.