A topological theorem and correlations, within the context of stochastic evolution

E.F. Costanza and G. Costanza

Physica A: Statistical Mechanics and its Applications, 2015, vol. 435, issue C, 51-65

Abstract: A topological theorem, that proves that any d-dimensional lattice is equivalent to a one-dimensional one, allows to write the evolution equations as a function of only one spatial coordinate. Stochastic and continuum deterministic evolution equations, are derived from a set of discrete stochastic evolution equations. The evolution equations of the dynamical variables and correlations are obtained for processes that evolve non-Markovianly. Some relatively simple examples are given in order to illustrate the procedures.

Keywords: Non-Markovian stochastic evolution equations; Correlations (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:435:y:2015:i:c:p:51-65

DOI: 10.1016/j.physa.2015.04.037

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