9a Escola Brasileira de Probabilidade
9th Brazilian School of Probability
Maresias Beach Hotel - Săo Sebastiăo, July 31 - August 6, 2005


IMRE CSISZÁR    Hungarian Academy of Sciences
Information theory and statistics
This course is based on the text "Information Theory and Statistics: A Tutorial", by I. Csiszár and P. Shields (Foundations and Trends in Communications and Information Theory, Now Publishers, Hanover MA USA and Delft, The Netherlands, 2004).
To download the ps file, click here

GIOVANNI JONA-LASINIO    Universitŕ di Roma "La Sapienza"
Large deviation approach to non equilibrium processes in stochastic lattice gases
This course will cover in particular the following topics:
  • Concepts from the physics of irreversible processes
  • Static and dynamic large fluctuations of thermodynamic variables and their relationship with thermodynamic functionals
  • Variational principles
  • An equation for the non equilibrium free energy
  • Non equilibrium decomposition of hydrodynamics
  • Minimum dissipation principle
  • Large fluctuations of the currents
  • Space time thermodynamics and dynamical phase transitions
  • Signatures of irreversibility
    The nine papers proposed as reference for the course should be read as follows. For a preliminary reading we recommend :
    1. JonaLasinio.pdf a concise general introduction to some basic ideas
    2. Jona_jsp1.pdf contains a systematic description of the approach with application to the study of space-time fluctuations of the density for some models
    3. Jona_curr_jsp2.pdf a systematic treatment of current fluctuations and related problems

    To download the compressed file of the articles, click here

    Problems sessions: DAVIDE GABRIELLI    Universitŕ dell' Aquila
    To download the pdf file of the exercices, click here

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