Colóquio MAP 29/11/2013 - Thermodynamic formalism for continuous time Markov chain
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Publicado em Thu Feb 06 15:33:45 GMT-03:00 2014
Formatos:
MP4
(640 X 426 px)
Responsáveis:
Fred Manoel Alves
Produção:
Fred Manoel Alves
Palestrantes:
PROF. DR. PHILIPPE THIEULLEN
In a joint colllaboration with Adriana Neumann and Artur Lopes,
we consider a one-dimensional spin lattice and a fixed observable A so
that the associated Ruelle operator is Markov. We define, canonically
associated to A, a jump process with infinitesimal generator L. We show
how to define a notion of relative entropy of the stationary process
asssociated to a perturbed generator L+V. We then show a large deviation
principle in time of these processes.