Annuncio Seminario di Probabilita, Pisa,
Dipartmento di Matematica, Universita di Pisa
Seminario di Probabilita
SPEAKER 1 (ore 11:00): Francesca R. Nardi, University of Florence
TITLE: Metastability for General Dynamics with Rare Transitions: Escape Time and Critical Configurations
ABSTRACT: Metastability is an ubiquitous physical
phenomenon in first order
phase transitions. A fruitful mathematical way to approach
this
phenomenon is the study of rare transitions for Markov
chains. For
Metropolis chains associated with statistical mechanical
systems,
this phenomenon has been described in an elegant way through
a
pathwise approach in terms of the energy landscape
associated to the
Hamiltonian of the system. In the seminar we will first
explain the
main results and ideas of this approach and compare it with
other
existing ones. Then we will provide a similar description in
the
general rare transitions setup that can be applied to
irreversible
systems as well.
Besides their theoretical content, we believe
that our results are a useful tool to approach metastability
for
non-Metropolis systems such as Probabilistic Cellular
Automata.
Moreover, we will describe results pertaining to exponential
hitting
times which range of applicability includes irreversible
systems,
systems with exponentially growing volumes and systems with
a general
starting measure.
(joint work with Emilio N. M. Cirillo, R.
Fernandez, F. Manzo, E. Scoppola and J. Sohier).
Dopo una pausa di circa 5min, proseguiamo con
SPEAKER 2 (ore 12:00): Valeria De Mattei, Universita di Pisa
TITLE: Mean field games with mean field and moderate interactions
ABSTRACT: We consider a mean field game where N players interact both in the cost functionals and in the dynamics. The new feature is that the dynamical interaction is of the so called "moderate" type, intermediate between the more classical mean field interaction and a strictly local interaction. A modification of the classical mean field game scheme is presented. Convergence to a system of PDEs, the mean field equation for our system, is discussed.
Tutti gli interessati sono invitati a partecipare. Per informazioni scrivere a carina.geldhauser@dm.unipi.it