On Markov processes it has been carried out mostly in the United States by Doob, T E Harris and the reviewer.
32.
The Wiener process is a member of some important families of stochastic processes, including Markov processes, L�vy processes and Gaussian processes.
33.
The same condition is valid for the reversible Markov processes ( it is equivalent to the " no net flow " condition ).
34.
He found that there are two kinds of continuous time Markov processes, depending on the assumed behavior over small intervals of time:
35.
In 1982 he gave a plenary address ( " Optimal control of Markov Processes " ) at the ICM in Warsaw.
36.
These nonlinear Markov processes and their mean field particle interpretation can be extended to time non homogeneous models on general measurable state spaces.
37.
Random walks on the integers and the Gambler's ruin problem are examples of Markov processes and were studied hundreds of years earlier.
38.
A strictly stationary Markov process is " ? "-mixing if and only if it is an aperiodic recurrent Harris chain.
39.
IPS are usually defined via their Markov generator giving rise to a unique Markov process using Markov semigroups and the Hille-Yosida theorem.
40.
The basic idea of the MCAM is to approximate the original controlled process by a chosen controlled markov process on a finite state space.
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