Ho il piacere di invitarvi al seguente seminario, che si terrà Giovedì 9 Giugno, alle 14:30, in Sala Riunioni del VII piano (accesso scale A e B) della Torre Archimede presso il Dipartimento di Matematica dell'Università degli Studi di Padova.

SPEAKER: Giuseppe Cannizzaro

AFFILIATION: TU Berlin

TITLE: Malliavin Calculus for Regularity Structures: the case of gPAM

ABSTRACT: The theory of Regularity Structures allowed to solve a number of ill-posed stochastic partial differential equations. In this presentation, after recalling the main aspects of Hairer's work, we will show how it is possible to introduce Malliavin Calculus tools in this context in order to investigate probabilistic properties of the solutions to such equations. We will focus on one standard example of the theory, namely the generalized Parabolic Anderson Model (gPAM), and prove that its solution, when evaluated at a space-time point, admits a density with respect to the Lebesgue measure.

Paolo Dai Pra Dipartimento di Matematica Via Trieste, 63 35121 Padova Tel. +39 0498271361 Fax +39 0498271428 daipra@math.unipd.it