1.

Record Nr.

UNISA996479366703316

Autore

Decreusefond Laurent <1966->

Titolo

Selected Topics in Malliavin Calculus [[electronic resource] ] : Chaos, Divergence and So Much More / / by Laurent Decreusefond

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022

ISBN

9783031013119

9783031013102

Edizione

[1st ed. 2022.]

Descrizione fisica

1 online resource (180 pages)

Collana

Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics, , 2039-148X ; ; 10

Disciplina

515.64

Soggetti

Probabilities

Stochastic processes

Calculus

Mathematical statistics

Probability Theory

Stochastic Calculus

Mathematical Statistics

Càlcul de Malliavin

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Sommario/riassunto

This book is not a research monograph about Malliavin calculus with the latest results and the most sophisticated proofs. It does not contain all the results which are known even for the basic subjects which are addressed here. The goal was to give the largest possible variety of proof techniques. For instance, we did not focus on the proof of concentration inequality for functionals of the Brownian motion, as it closely follows the lines of the analog result for Poisson functionals. This book grew from the graduate courses I gave at Paris-Sorbonne and Paris-Saclay universities, during the last few years. It is supposed to be as accessible as possible for students who have knowledge of Itô calculus and some rudiments of functional analysis.