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RESEARCH PRODUCT

What is Differential Stochastic Calculus?

M. Di Paola

subject

Stochastic differential equationMathematics::ProbabilityQuantum stochastic calculusMultivariable calculusStochastic calculusApplied mathematicsDifferential calculusTime-scale calculusMalliavin calculusDifferential (mathematics)Mathematics

description

Some well known concepts of stochastic differential calculus of non linear systems corrupted by parametric normal white noise are here outlined. Ito and Stratonovich integrals concepts as well as Ito differential rule are discussed. Applications to the statistics of the response of some linear and non linear systems is also presented.

https://doi.org/10.1007/978-3-7091-2501-4_4