9–11 Jun 2015
INFN - Laboratori Nazionali di Frascati <!--ID_UTENTE=509-->
Europe/Rome timezone

Large deviations for singular stochastic partial differential equations

10 Jun 2015, 15:30
1h
Auditorium B. Touschek, Bldg 36 (INFN - Laboratori Nazionali di Frascati <!--ID_UTENTE=509-->)

Auditorium B. Touschek, Bldg 36

INFN - Laboratori Nazionali di Frascati <!--ID_UTENTE=509-->

Via Enrico Fermi, 40 00044 - Frascati (Roma)

Speaker

Gianni Jona-Lasinio (INFN - Roma 1)

Description

We consider SPDE's whose solutions are distribution-valued fields. An example is provided by the stochastic quantization of a scalar field in d=2,3 where infinite counter-terms are necessary. We review large deviation estimates for probabilistic weak solutions in d=2, derived long ago with P. K. Mitter, which show that the rate functional does not depend on the renormalization counter terms. We shall compare this result with a similar conclusion reached recently by Hairer and Weber in the context of Hairer regularity structures, which cover also the d=3 case.

Primary author

Gianni Jona-Lasinio (INFN - Roma 1)

Presentation materials

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