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<H3>MARTEDI' 27 SETTEMBRE 2011 </H3></FONT>
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<P><B>SEMINARI DI PROBABILITA'</B><BR>10:30-11:15, Aula seminari del
Dipartimento di Matematica Applicata "U. Dini"<BR><I>Large deviation principle
of the empirical current for Markov processes</I><BR>Lorenzo Bertini (Roma La
Sapienza)<BR><A
href="http://www.dm.unipi.it/notiziario/index.php?op=view2&id=1252"></A><BR><FONT
color=#660033></FONT><BR><BR><B>Abstract:</B><BR>We consider a continuous time
Markov chain on a countable state space <BR>and extend the classical
Donsker-Varadhan large deviation principle for <BR>the empirical measure by
considering also the empirical flow. We then <BR>discuss the application to the
Gallavotti-Cohen functional, whose <BR>associated large deviation principle can
be obtained by projection. We <BR>finally illustrate briefly the analogous
results for diffusion <BR>processes on R^n.<BR></P><FONT color=#660033>
<H3>MARTEDI' 27 SETTEMBRE 2011 </H3></FONT>
<P></P>
<P><B>SEMINARI DI PROBABILITA'</B><BR>11:15-12:15, Aula seminari del
Dipartimento di Matematica Applicata "U. Dini"<BR><I>Macroscopic fluctuation
theory for aerogels dynamics </I><BR>Mauro Mariani (Aix-Marseille III)<BR><A
href="http://www.dm.unipi.it/notiziario/index.php?op=view2&id=1253"></A><BR><FONT
color=#660033></FONT><BR><BR><B>Abstract:</B><BR>Macroscopic fluctuation theory
provides a main tool to study<BR>non-equilibrium Statistical Mechanics. In this
talk, a class of models <BR>is introduced, for which it can be proved that the
quasi-potential of <BR>the current fluctuations is non-analytical. </P>
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<P style="MARGIN-BOTTOM: 0cm"> <I><FONT size=2><FONT face=Arial>Liviana
Paoletti <BR> Segreteria Scientifica</FONT></FONT></I></P>
<P style="MARGIN-BOTTOM: 0cm"><FONT size=2><FONT face=Arial><I>Dipartimento di
Matematica<BR>"L. Tonelli" Universita' di Pisa<BR>tel.
0502213251<BR>e-mail </I><A
href="mailto:paoletti@dm.unipi.it"><I>paoletti@dm.unipi.it</I></A></FONT></FONT></P><PRE></PRE></DIV></BODY></HTML>