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Stochastic calculus provides a consistent theory of integration for stochastic processes and is used to model random systems. Its applications range from statistical physics to quantitative finance.

3 votes

Origins and Industrial Applications of stochastic processes (eg. Brownian motion) on Riemann...

A somewhat recent engineering application is in study of dynamics and control on manifolds such as SO(3), which is the manifold on which the (position) state of a rotating rigid body (such as a satell …
Piyush Grover's user avatar
3 votes
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PDE-oriented textbook on probability and random processes?

Stochastic processes and application by Pavliotis is a good one.
Piyush Grover's user avatar