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)
