Stochastic processes with memory subjected to a periodic boundary condition are investigated. The transition probability function for some types of memory behavior is calculated by summing over all possible paths within a white noise functional integral framework. Specific examples such as processes in spaces with circular topology and wedges are discussed.
CITATION STYLE
Bernido, C. C., & Carpio-Bernido, M. V. (2016). Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces. In Trends in Mathematics (pp. 39–49). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-319-07245-6_3
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