Document Type
Article
Publication Date
2016
Abstract
In this paper, we present a study on generalized local and nonlocal equations for some stochastic processes. By considering the net flux change in a region determined by the transition probability, we derive the master equation to describe the evolution of the probability density function. Some examples, such as classical Fokker-Planck equations, models for Lévy process, and stochastic coagulation equations, are provided as illustrations. A particular application is a consistent derivation of coupled dynamical systems for spatially inhomogeneous stochastic coagulation processes.
Original Publication Citation
Yanxiang Zhao, Jiakou Wang, Yanping Ma, and Qiang Du. 2016. Generalized local and nonlocal master equations for some stochastic processes. Comput. Math. Appl. 71, 11 (June 2016), 2497–2512.
Digital Commons @ LMU & LLS Citation
Ma, Yanping, "Generalized local and nonlocal master equations for some stochastic processes" (2016). Mathematics, Statistics and Data Science Faculty Works. 151.
https://digitalcommons.lmu.edu/math_fac/151
