In the shadow of Lyapunov exponents

(2nd edition)

The main objectives of this meeeting are to exchange ideas and to explain techniques used in the study of Lyapunov exponents.

Each speaker is invited to define a concept, to describe a proof technique and to illustrate it in a simple yet relevant context, in other words, to reveal some of the secrets of her or his trade.



Adriana Sánchez   (University of São Paulo, São Carlos)

“Lyapunov exponents of probability distributions with non-compact support”

Ao Cai   (University of Lisbon)

“Almost reducibility and reducibility of finitely differentiable quasi-periodic \({\rm SL}(2,\mathbb{R})\) linear cocycles”

Catalina Freijo   (Federal University of Minas Gerais)

“Holonomies and invariant sections”

Lorenzo Díaz   (Pontifical Catholic University of Rio de Janeiro)

“Cycles and co.”

Pedro Duarte   (University of Lisbon)

“Lyapunov exponents of quasi-periodic cocycles with random noise ”


3rd February 2020   from 10:00 to 18:00

Tendas de Artes   PUC-Rio

The workshop takes place in one of the two (adjacent) tents of the Department of Arts and Design.

The tents are on the other side of the river (Rio Rainha) from the Mathematics Department, close to the campus church (Igreja Sagrado Coração de Jesus) and to the museum (O Solar Grandjean de Montigny), but they are somewhat hidden; click here to see a map of the campus.


10:00 - 11:00   Lorenzo

11:15 - 12:15     Adriana


14:00 - 15:00   Catalina

15:15 - 16:15     Ao

Coffee break

17:00 - 18:00   Pedro

Dinner and samba

Social program

Lunch   Couveflor restaurant

Coffee break   In or around the tent

Dinner   Da Casa da Táta

Samba   Da Casa da Táta, see here. The show (for those interested in staying) starts around 20:00, the cover is R$ 30.


For practical reasons, so that we get an idea of the number of participants, please register here.


Silvius Klein       silviusk [dot] impa [dot] br

Aline de Melo   alinedemelo.m [dot] mat [dot] puc-rio [dot] br