The Ito-Stratonovich formula for an operator of order four
Affiliation auteurs | Affiliation ok |
Titre | The Ito-Stratonovich formula for an operator of order four |
Type de publication | Conference Paper |
Year of Publication | 2016 |
Auteurs | Leandre R |
Editor | Budzban G, Hughes HR, Schurz H |
Conference Name | PROBABILITY ON ALGEBRAIC AND GEOMETRIC STRUCTURES |
Publisher | AMER MATHEMATICAL SOC |
Conference Location | P.O. BOX 6248, PROVIDENCE, RI 02940 USA |
ISBN Number | 978-1-4704-1945-5 |
Mots-clés | Non-Markovian Semigroup, Stochastic analysis |
Résumé | Using semigroup theory, we give a representation (Ito-Stratonovitch formula) of the generator of time-homogeneous semigroups in a 4th order elliptic situation with bounded derivatives. Moreover, an application to large deviation theory of dynamical systems perturbed by sufficiently small operators of order four is given (i.e. Wentzel-Freidlin type estimates). |
DOI | 10.1090/conm/668/13402 |