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Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations
(2010)
We incorporate randomness into deterministic theories and compare analytically and numerically some well-known stochastic theories: the Liouville process, the Ornstein-Uhlenbeck process, and a process that is Gaussian and ...
Stochastic Theories and Deterministic Differential Equations
(2010-05)
We discuss the concept of “hydrodynamic” stochastic theory, which is not based on the traditional Markovian concept. A Wigner function developed for friction is used for the study of operators in quantum physics, and for ...