The Ito-Stratonovich formula for an operator of order four

Affiliation auteursAffiliation ok
TitreThe Ito-Stratonovich formula for an operator of order four
Type de publicationConference Paper
Year of Publication2016
AuteursLeandre R
EditorBudzban G, Hughes HR, Schurz H
Conference NamePROBABILITY ON ALGEBRAIC AND GEOMETRIC STRUCTURES
PublisherAMER MATHEMATICAL SOC
Conference LocationP.O. BOX 6248, PROVIDENCE, RI 02940 USA
ISBN Number978-1-4704-1945-5
Mots-clésNon-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).

DOI10.1090/conm/668/13402