COLMEA - colóquio interinstitucional - 7 de maio - IM-UFRJ

["Maria Eulalia Vares" <eulalia@im.ufrj.br>]

Prezados colegas,

No próximo dia 7 de maio (quarta-feira) teremos, no IM-UFRJ, um novo encontro
do COLMEA, colóquio interinstitucional ?Modelos Estocásticos e Aplicações?.

Programa:

14:00-15:20h:  Étienne Ghys (ENS ? Lyon) 
?Random diffeomorphisms of the circle?

15:40-17:00h: Sílvio M. Duarte Queirós (CBPF) 
?Thermostatistical idiosyncrasies of small non-linear mechanical systems?

17:00h:  Discussão e lanche

Local: Sala C116 ? Instituto de Matemática
Bloco C ? Centro de Tecnologia 
Cidade Universitária ? Ilha do Fundão

Um cartaz para divulgação encontra-se aqui:

http://www.im.ufrj.br/~coloquiomea/cartaz/2014_05.pdf

Informações mais completas sobre o colmea podem ser encontradas em:

http://www.im.ufrj.br/~coloquiomea/

Todos são muito bem vindos. Agradecemos também pela divulgação em sua
instituição.

Atenciosamente,

o comitê organizador:  Augusto Q. Teixeira (IMPA), Evaldo M.F. Curado (CBPF),
Fábio D. A. Aarão Reis (UFF),  Maria Eulalia Vares (UFRJ), Mariane Branco
Alves (UFRJ), Patrícia Gonçallves (PUC-Rio), Stefan Zohren (PUC-Rio)

Resumos das palestras:

Random diffeomorphisms of the circle 
Étienne Ghys (ENS ? Lyon)

In dynamical systems one usually considers the dynamics of "typical
diffeomorphisms". Of course, one of the very first questions is to define
"typical"! Pioneers used Baire category: countable intersections of open and
dense sets. Later, Kolmogorov suggested to use the concept which is called
today "prevalence": some kind of substitute for the Lebesgue measure in
infinite dimension. In this talk, I will begin by explaining the advantages
and drawbacks of these two notions. Then, I will restrict myself to the 1
dimensional case and discuss the Malliavin-Shavgulidze measure on the group of
diffeomorphisms of the circle, related to the Brownian motion. It will be a
pleasant opportunity to advertise part of the PhD thesis of my latest student:
Michele Triestino. One would like to understand the dynamics of almost all
diffeomorphism of the circle, with respect to this Malliavin-Shavgulidze
probability.

Thermostatistical idiosyncrasies of small non-linear mechanical systems 
Sílvio M. Duarte Queirós (CBPF)

As stated in any textbook, Thermodynamics is the field of Science devoted to
the study of relations between macroscopic observables of a system such as
heat, work, energy. The microscopic understanding of the macroscopic laws that
Thermodynamics provide us with was finally achieved by means of the
application of probabilistic concepts to mechanical systems within the
Statistical Mechanics approach and the assumption of the macroscopic
(Thermodynamic) limit. However, as technology has moved on, interesting
systems have downsized and one has started facing the study of heat, energy
and work relations clearly off the thermodynamical limit. Although the
(standard) macroscopic laws of Thermodynamics are thus crippled, it is
possible to establish equivalent relations which allow predicting the
behaviour of physical quantities such as the injected (dissipated) power into
(out of) the system, the heat flux within it as well as several other
fluctuation relations.

Along these lines, I will present some results on the thermostatistical
properties of small in- and out-of-equilibrium massive systems subject to
non-linear potentials and in contact with Gaussian and non-Gaussian reservoirs
with the context of the Lévy-Itô theorem. A typical example of thermostats of
the latter ilk is the Poissonian (shot-noise) heat bath that can be regarded
as a means of describing the energy input to particles by ATP hydrolysis - a
phenomenon that can be found in molecular motors. A special emphasis to the
physical significance of higher than two statistical cumulants of non-Gaussian
reservoirs will be given. Moreover, it will be shown that they can be
interpreted as supplementary heat sources.





--
Maria Eulalia Vares
Departamento de Métodos Estatísticos
Instituto de Matemática - UFRJ
http://www.im.ufrj.br/~eulalia