Elements of Stochastic Calculus via Regularization.

Autor: Morel, J.-M., Takens, F., Teissier, B., Donati-Martin, Catherine, Émery, Michel, Rouault, Alain, Stricker, Christophe, Russo, Francesco, Vallois, Pierre
Zdroj: Seminaire de Probabilites XL; 2007, p147-185, 39p
Abstrakt: This paper first summarizes the foundations of stochastic calculus via regularization and constructs through this procedure Ito and Stratonovich integrals. In the second part, a survey and new results are presented in relation with finite quadratic variation processes, Dirichlet and weak Dirichlet processes. MSC 2000: 60H05, 60G44, 60G48 Key words: Integration via regularization, Weak Dirichlet processes, Covariation, Ito formula [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index