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“The mathematical theory now known as Malliavin calculus was first introduced by Paul Malliavin .. as an infinite-dimensional integration by parts technique. The purpose of this calculus was to prove the results about the smoothness of densities of solutions of stochastic differential equations driven by Brownian motiion.”
MC

Malliavin calculus

More by Malliavin calculus

“Malliavin’s work inspired many new results in stochastic analysis. Examples include filtering theorems (Michel ...), a deeper understanding of the Skorohod integral and the development of an anticipat...”

Malliavin calculus

“We present an approach that allows one to introduce a Malliavin type calculus for functionals of general Lévy processes and to obtain sufficient conditions for the absolute continuity of solutions of ...”

Malliavin calculus

“The Malliavin calculus refers to a part of Probability theory which can loosely be described as a type of calculus of variations for Brownian motion. It is intimately concerned with the interplay betw...”

Malliavin calculus

Books
The Malliavin CalculusThe Malliavin CalculusMalliavin Calculus and Its ApplicationsMalliavin Calculus and Its ApplicationsMalliavin 随机变分引论(研究生数学丛书)Malliavin 随机变分引论(研究生数学丛书)The Malliavin Calculus and Related TopicsThe Malliavin Calculus and Related TopicsElements of the Integral CalculusElements of the Integral Calculus
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