Annuncio Seminario di Probabilita, Pisa,
Dipartmento di Matematica, Universita di Pisa
Mercoledi, 8 marzo, ore 11:00, Aula Seminari
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
inthe cost functionals and in the dynamics. The new feature is that
thedynamical interaction is of the so called "moderate" type,
intermediatebetween the more classical mean field interaction and a
strictly localinteraction. A modification of the classical mean field
game scheme ispresented. Convergence to a system of PDEs, the mean field
equation forour system, is discussed.
Tutti gli interessati sono invitati a partecipare. Per informazioni
scrivere a carina.geldhauser(a)dm.unipi.it
<mailto:carina.geldhauser@dm.unipi.it>