05/09/2016, 10:20 — 11:00 — Amphitheatre Pa2, Mathematics Building
Luis Barreira, Instituto Superior Técnico, Universidade de Lisboa

Lyapunov regularity via singular values

The notion of regularity was introduced by Lyapunov and plays an important role in the stability theory, particularly in the context of ergodic theory, as a consequence of Oseledets' multiplicative ergodic theorem. Somewhat surprisingly, we were able to establish the existence of a structure of Oseledets type for any nonregular dynamics. In particular, this allowed us to obtain lower and upper bounds for the Lyapunov exponents in terms of the growth rates of the singular values.

This is joint work with Claudia Valls.