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Carissimi,<br>
<br>
vi segnalo il prossimo seminario di Equazioni Differenziali a Roma
Tor Vergata:<br>
<br>
<b>Martedì I Marzo 2016, h. 14:30, Aula Dal Passo</b><b><br>
</b><b><br>
</b><b>Annalisa Cesaroni (Università di Padova)</b><b><br>
</b><b><br>
</b><b>Homogenization of a mean field game system in the small noise
limit.
</b><b><br>
</b><b>
</b><b><br>
</b><b>Abstract: Mean field game systems describe the behaviour of a
large population of identical agents who control their dynamics
minimizing a cost which depends on the distribution law of the
individual states.
</b><b><br>
</b><b>We consider the case in which the game takes place in a
periodically heterogeneous medium, and the dynamics of the agents
is disturbed by a (vanishing) white noise. We analyse the
simultaneous effect of homogenization (assuming then that the
frequency of heterogeneities in the medium is going to +\infty)
and of the small noise limit, for a 2nd order mean field games
system with local coupling and quadratic Hamiltonian. An
interesting feature of the problem is that generically the
effective system loses the MFG structure.
</b><b><br>
</b><b>Joint work with N. Dirr (Cardiff) and C. Marchi (Padova)
</b><b><br>
</b><br>
<br>
<pre class="moz-signature" cols="72">--
Daniele Castorina
Stanza 539 – Torre Archimede
Dipartimento di Matematica
Università di Padova
Via Trieste, 63 - 35121 Padova
Tel.: (+39) 0498271429
Email: <a class="moz-txt-link-abbreviated" href="mailto:castorin@math.unipd.it">castorin@math.unipd.it</a>
Homepage: <a class="moz-txt-link-freetext" href="http://www.math.unipd.it/~castorin/">http://www.math.unipd.it/~castorin/</a></pre>
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