From elliptic islands to hyperbolic waves

Celebrating Pedro Duarte's 60th birthday

This event, consisting of an international conference on Dynamical Systems and a special edition of the EDAÍ seminar, celebrates Pedro Duarte's 60th birthday by focusing on his research interests.

The main topics covered in this meeting are: the standard map with its challenges, including the existence of elliptic islands; isospectral reduction theory and stationary measures on infinite graphs; hyperbolic billiards; statistical properties of linear cocycles presenting hyperbolic waves, as well as positivity and continuity of their Lyapunov exponents; the study of ergodic Schrödinger operators in mathematical physics.

The (spectral) gap between the two-day conference at the beginning of the week and the one-day EDAÍ seminar (a traditional carioca event in dynamics) at the end of the week, will allow speakers and participants to collaborate with local researchers.



The conference: 29 and 30 of August 2022   from 09:30 to 18:00

Auditório Del Castillo RDC     PUC-Rio

The EDAÍ seminar: 2 of September 2022     from 10:00 to 18:00

Salão Pedro Calmon, Palácio Universitário da Praia Vermelha   UFRJ

The venues and other practicalities

The conference takes place at the Pontifical Catholic University of Rio de Janeiro (PUC-Rio), located at Terminal da PUC in the Gávea neighborhood. The conference auditorium is called Auditório Del Castillo (located on the second floor of RioDatacentro).

The EDAÍ seminar takes place at the Federal University of Rio de Janeiro (UFRJ), the campus Praia Vermelha, located at Avenida Pasteur 280 in the Urca neighborhood. The seminar auditorium is called Salão Pedro Calmon (located in the Palácio Universitário da Praia Vermelha).

To facilitate the collaboration between the participants during the week of the event, we have reserved some offices at PUC-Rio, on the 7th and 8th floors of the Leme building (where the Department of Mathematics is located). Later in the afternoon (after 17:00) you may use any (of the many) available classrooms in the Leme building. There is chalk outside the secretary's office on the 8th floor.

Lunch   At PUC, the restaurant Couve Flor has a self-service buffet with great options; we also have a few tables reserved at the restaurant Kitchen Café. Both are located across the creek in front of the conference auditorium. All students may use the university restaurant (Bandejão). On Friday, at UFRJ, the shopping center Casa & Gourmet, located 5 minutes by foot from the conference auditorium, has several good options.

For any questions regarding the venues, or any other practical questions, please contact one of the organizers or the students helping with the organization. They will be wearing a tag with the conference logo.

Social program

Coffee break   Next to the conference auditorium.

Conference dinner   On Tuesday 30/08 starting around 18:30 at Gávea Beach Club in Copacabana/Leme. Please add your name (and the number of additional guests, if any) to the signup sheet we will pass during the conference on Monday.

Reception   After the EDAÍ seminar next to the seminar auditorium.

Suggested accommodations and transportation

We recommend to the conference speakers and participants to book accommodations in advance, as beginning on the 3rd of September, the city will host a major music festival. The default hotel suggestion is Novotel Rio de Janeiro Leme. An alternative suggestion is Apa hotel, Copacabana.

The conference and seminar locations are easily reached by Taxi, Uber or public transportation (see the Moovit app).


In order to help the organizers with the practicalities of the event, all participants have to register in advance here.

Organizing committee

Silvius Klein (PUC-Rio, Brazil)         silviusk [at] puc-rio [dot] br

Telmo Peixe (ULisboa, Portugal),       telmop [at] iseg [dot] ulisboa [dot] pt

Luís Sampaio (ULisboa, Portugal),       lmsampaio [at] fc [dot] ul [dot] pt

Jaqueline Siqueira (UFRJ, Brazil),       jaqueline [at] im [dot] ufrj [dot] br

Maria Joana Torres, (UMinho, Portugal),       jtorres [at] math [dot] uminho [dot] pt

Supporting institutions

Forum UFRJ