21. The Brownian motion process and the Poisson process ( in one dimension ) are both examples of Markov processes . 22. Because " r " is governed by a Markov process , dynamic programming simplifies the problem significantly. 23. In the same thesis he considered the problem of applying Markov processes to the solution of partial differential equations. 24. Andrei Kolmogorov developed in a 1931 paper a large part of the early theory of continuous-time Markov processes . 25. This theory was concerned with the mathematical foundations of the theory of continuous time stochastic processes, especially Markov processes . 26. In brief, the evolution of a genetic sequence is modelled by a time-reversible continuous time Markov process . 27. The adjective "'Markovian "'is used to describe something that is related to a Markov process . 28. There are many examples of Markov processes , Gaussian processes, and other processes that can be enhanced as rough paths. 29. Certain Dirichlet forms can be used to study partial differential equations and link them to the probabilistic setting of Markov processes . 30. The distribution can be represented by a random variable describing the time until absorption of a Markov process with one absorbing state.
