Author Archive CeMEAI


Mini course – Topics in Random Dynamical Systems

The mini-course covers:

Breiman Ergodic Theorem, which states that for any Markov chain on a compact metric space with a continuous transition probability, the empirical measures accumulate onto stationary measures. Its proof will use transfer operator (acting on L^1 observables), Markov operator (acting on probability measures), and a martingale argument due to Furstenberg.

Invariant measures for skew-products with one-sided shift in the base vs. with two-sided shift in the base. Its proof will use “disintegration” of a measure, and another martingale argument.

U-state measures, and their correspondence with stationary measures.

Potentially, more results on “synchronization”, from the theoretical Random Dynamical Systems point of view.

This mini-course shall be very accessible to anyone who is proficient in Real Analysis (and some basic Measure Theory). In particular, you do not need to know everything or anything listed above; they are there just in case some key words might motivate you more than the mere title. Also, the Probability Theory tools will be supplied as needed.


IMPA terá lives e webinar na Semana Nacional da Matemática

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Professor do ICMC é reconhecido como nova liderança pela Pró-Reitoria de Pesquisada USP

Docentes premiados e dirigentes da Universidade participaram da cerimônia em São Paulo. Crédito da imagem: Cecília Bastos/USP Imagens

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Prêmio Excelência – Ciências Exatas e da Terra – Tiago Pereira da Silva

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Prêmio Excelência para Novas Lideranças em Pesquisa na USP

Crédito da imagem: Cecília Bastos/USP Imagens

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Pró-Reitoria de Pesquisa divulga resultado do Prêmio Novas Lideranças

Imagem: Jornal da USP

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São Paulo Dynamical Systems days

The meeting aims at discussing advances in different topics of Dynamical System ranging from randomness to bifurcations aspects. Renowned researchers will give lectures on their expertise addressed to students and professors who are interested in the subject.


Date and Venue

October 24 – 26, 2018

ICMC – USP , São Carlos, São Paulo – Brazil


Invited Speakers

Mini courses

  • Dmitry Turaev, Imperial College London – UK
    • “On positive metric entropy problem”
  • Lorenzo J. Díaz, PUC- Rio – Brazil
    • “Construction of nonhyperbolic ergodic measures: controlling averages”
  • Vilton Pinheiro, UFBA – Brazil
    • “Lift problem and equilibrium states”



Click on the speaker’s name below to see more details

Oct 24 Oct 25 Oct 26
Location by color BLOCO 6 – Auditório Prof. Fernão Stella BLOCO 4 – 4-111 Auditório Luis Fávaro
9:00 – 10:00 Lorenzo Díaz Lorenzo Díaz Lorenzo Díaz
10:00 – 11:00 Dmitry Turaev Dmitry Turaev Dmitry Turaev
11:00 – 11:30 Coffee Break & Poster session
11:30 – 12:30 Vilton Pinheiro Vilton Pinheiro Vilton Pinheiro
12:30 – 14:30 Lunch
14:30 – 15:00 Gabriela Estevez Adriana Sanchez El Hadji Yaya
15:00 – 15:30 Edgar Matias Konstantinos Kourliouros Uirá Matos
15:30 – 16:00 Coffee Break & Poster session
16:00 – 16:30
16:30 – 17:30 Diego Sebastian Eduardo Garibaldi Roland Rabanal
17:30 – 18:30 Fabio Tal Everaldo Mello
19:00 – 23:00 Dinner

The Auditorium’s locations at the ICMC building are shown below. Note that the scientific program above displays different colors in respect to the Auditorium selected for the day.

(Adapted from RECEPÇÃO 2016)


The dinner will be held at Espaço Múltiplo

The location and route to the bar is shown at the Additional information below (inside the google maps you will be able to visualize the route).



How to apply

There is available poster presentation:

      1. Posters: Occurring simultaneously to the Coffee Break. It should be indicated the title of poster in the form below.

Limited financial support may be available for students, which must be indicated in the form.




    List of Participants
    Adriana Cristina Sanchez Chavarria (ICMC-USP)
    Ali Tahzibi (ICMC-USP)
    Ana Carolina Dias do Amaral Ramos (UFMG)
    André Muchon Neto (IME - USP)
    Camille poignard (ICMC-USP)
    Carlos Fabian Alvarez Escorcia (IMECC- UNICAMP)
    Carlos Maquera (ICMC-USP)
    Cássio Henrique Vieira Morais (UFMG)
    Daniel Smania (ICMC-USP)
    Diego Sebastian Ledesma (IMECC- UNICAMP)
    Dmitry Turaev (Imperial College London)
    Douglas Finamore (IMECC- UNICAMP)
    Edmilson Roque (ICMC-USP)
    Eduardo Garibaldi (IMECC- UNICAMP)
    El Hadji Yaya (IME - USP)
    Everaldo de Mello Bonotto (IME - USP)
    Everton Juliano da Silva (IME - USP)
    Fabio A. Tal (IME - USP)
    Fernando Cordeiro de Queiroz (ICMC-USP)
    Francisco Bruno Gomes da Silva (IMECC- UNICAMP)
    Gabriel Ponce (IMECC- UNICAMP)
    Gabriel Silva Lucidio (UFSCAR)
    Gabriela Estevez (ICMC-USP)
    Hans Muller Junho de Mendonça (ICMC-USP)
    Herbert Milton Ccalle Maquera (ICMC-USP)
    Jessica Xavier (UFMG)
    Joyce Aparecida Casimiro (IMECC- UNICAMP)
    Konstantinos Kourliouros (ICMC-USP)
    Lino Ramada Ferreira Junior (IMECC- UNICAMP)
    Lorenzo J. Díaz (PUC - Rio)
    Luan Vinicio de Mattos Ferreira Silva (IMECC- UNICAMP)
    Marcielis Espitia Noriega (IMECC- UNICAMP)
    Marisa dos Reis Cantarino (IMECC- UNICAMP)
    Mayara Braz Antunes (IMECC- UNICAMP)
    Nelson Orsalino Neto Schuback (IME - USP)
    Pedro G. Mattos (IMECC- UNICAMP)
    Pollyanna Vicente Nunes (IME - USP)
    Rafael da Costa Pereira (UFMG)
    Richard Javier Cubas Pereira (ICMC - USP)
    Roland Rabanal (PUCP - Perú)
    Thaylon Souza de Oliveira (IMECC- UNICAMP)
    Tiago Pereira (ICMC-USP)
    Uirá Matos (ICMC-USP)
    Ulisses Lakatos de Mello (IME-USP)
    Valdiane Sales Araujo (UFMA)
    Vilton Pinheiro (UFBA)
    Zeray Gebrezabher (ICMC-USP)
    Poster Session

    The link below presents the list of participants for Poster Session:

    Poster Session



    Additional information

    Restaurants and hotels at the ICMC surroundings



    • Ali Tahzibi, ICMC
    • Tiago Pereira, ICMC
    • Edmilson Roque, ICMC





    Optimal Langevin samplers

    Greg Pavliotis


    Sampling from a probability distribution in a high dimensional spaces is a standard problem in computational statistical mechanics, Bayesian statistics and other applications. A standard approach for doing this is by constructing an appropriate Markov process that is ergodic with respect to the measure from which we wish to sample. In this talk we will present a class of sampling schemes based on Langevin-type stochastic differential equations. We will show, in particular, nonreversible Langevin samplers, i.e. stochastic dynamics that do not satisfy detailed balance, have, in general, better properties than their reversible counterparts, in the sense of accelerating convergence to equilibrium and of reducing the asymptotic variance. Numerical schemes for such nonreversible samplers will be discussed and the connection with nonequilibrium statistical mechanics will be made.


    Phase-specific deep brain stimulation

    Hayriye Cagnan


    Our everyday actions, from decision making to motor control, are thought to involve information exchange through transient neural synchrony across multiple brain regions. Emerging evidence suggests that a range of neurological disorders such as Parkinson’s disease and essential tremor could be attributed to dysfunction of this fundamental neural property. Deep brain stimulation is commonly used to reduce disease symptoms by delivering high frequency electrical pulses to key brain regions. A new stimulation strategy, called phase-specific deep brain stimulation, aims to selectively regulate neural synchrony. I will highlight some experimental results which show the effect of phase-specific deep brain stimulation for the treatment of patients with pathological tremor and discuss how dynamic causal modelling could be used to infer effect of stimulation on disease circuit.


    Everything you always wanted to know about Random Dynamics (but were afraid to ask)

    Jeroen Lamb


    Despite the broad interest in probabilistic processes in  applied mathematics and the popularity of including “noise” or uncertainty as a modelling assumption, our understanding of the dynamics of random  systems is predominantly statistical and static, revealing little or  nothing about the actual “random dynamics”. In this talk I will discuss this assertion and give examples of open question and a few partial answers.