Buongiorno a tutti,
Vorremmo segnalarvi che venerdì prossimo (7 Giugno) alle ore 14:15 in aula 2AB45 (Torre Archimede, Università di Padova) ci sarà un seminario per il ciclo di seminari in Probabilità e Finanza di:
Francesca Primavera (Università di Vienna) https://quarimafi.univie.ac.at/about-us/francesca-primavera/
Title: Functional Itô formula and Taylor expansion for non-anticipative maps of rough paths
Date: June 7, 2024, at 14:15, 2AB45
Abstract: We rely on the approximation properties of the signature of càdlàg rough paths to derive a functional Itô formula for non-anticipative maps of rough paths. This leads to a functional extension of the Itô formula for càdlàg rough paths (by Friz and Zhang (2018)) which coincides with the change of variable formula formulated by Dupire (2009) as well as by Cont and Fournie (2010), whenever the notions of the regularity of the functionals and the integration coincide. As a byproduct, we show that sufficiently regular non-anticipative path functionals admit a functional Taylor expansion, leading to a far reaching generalization of the recently established results by Dupire and Tissot-Daguette (2022).
The talk is based on ongoing joint work with Christa Cuchiero and Xin Guo.
Vi aspettiamo numerosi!
Alberto Chiarini e Alekos Cecchin
Sito web del seminario: https://www.math.unipd.it/~chiarini/seminars/