This is an online research seminar on dynamical systems theory. It takes place every Friday (except Brazilian holidays) from 11 am to 12 am (local time in Rio de Janeiro, Brazil) using the platform zoom.

This seminar is part of an initiative to combat the current difficult situation of isolation and mathematical (not only) depression. In those times active resistance is fundamental. This is our proposal. We invite you to join us.

The seminar announcement is sent through the mailinglist DinamiCarioca (see also here).
If you are no member of "dinamicarioca" and are interested in receiving information about this seminar please send an email to rb.oir-cup.tam|0202acimanidaicnetsiser#rb.oir-cup.tam|0202acimanidaicnetsiser and you will be included in the mailing list of this seminar.


25 September | 11h00min | Ali Tahzibi (ICMC USP São Carlos, Brazil)
Title: Margulis measures on foliations and measures of maximal entropy

Abstract: Bowen-Margulis measure for uniformly hyperbolic dynamics stands for measure of maximal entropy. The approach by Bowen was using periodic measures and Margulis in his thesis constructed maximal entropy measures for Anosov flows using a geometric construction.

In the context of partially hyperbolic dynamics, there are few results on the uniqueness (finiteness) of measures of maximal entropy, when they exist. In this talk, we recall some progress in partially hyperbolic setting and focus mainly on the following:

We explored the Margulis approach to the context of flow type partially hyperbolic dynamics, in particular diffeomorphisms close to time-one map of Anosov flows. We obtained a dichotomy, proving either just non-hyperbolic or exactly two hyperbolic ergodic measures of maximal entropy for such diffeomorphisms. These works are in collaboration with J. Buzzi and T. Fisher and J.Buzzi, Crovisier and Poletti.

2 October | 11h00min | Nataliya Goncharuk (University of Toronto Mississauga, Canada)
Title: Complex rotation numbers

More seminars in Upcoming seminars.

Organization: Lorenzo J. Díaz (PUC-Rio, Brazil)

Contact: rb.oir-cup.tam|0202acimanidaicnetsiser#rb.oir-cup.tam|0202acimanidaicnetsiser

Zoom access: PUC-Rio, Brazil.

ANNOUNCEMENT: the gmail-account moc.liamg|0202acimanidaicnetsiser#moc.liamg|0202acimanidaicnetsiser was blocked by some mysterious rule of Gmail that requires some security check. Provided cellphone numbers did not work (there appeared a mysterious message “This number was already used several times for confirmation.”, which was not true). We never forgot the password. We tried several cellphones.

In consequence, we also lost the access to the youtube account videos of previous seminars are deposited.

We also lost all contact addresses. We trying to recover most of them. In case you did not receive a message by September 1st, this will mean that we lost your contact and we apologize for that.