A theorem allowing the derivation of deterministic evolution equations from stochastic evolution equations. tensorial, spinorial, and other extensions

Authors

  • G. Costanza

Keywords:

Evolution equations, stochastic processes

Abstract

The proof of a new extension of a theorem that allows to construct deterministic evolution equations from a set of discrete stochastic evolution equation is developed. The present extension allows to handle evolution equations of dynamical variables that are tensors of any rank. Due that the almost paradigmatic field that uses tensors is relativity, an illustrative example is given and the equations that allows to find the geodesics is derived from a set of discrete stochastic evolution equations. Extension to dynamical variables described by spinor indices or ``arbitrary labels'' are given.

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Published

2013-01-01

How to Cite

[1]
G. Costanza, “A theorem allowing the derivation of deterministic evolution equations from stochastic evolution equations. tensorial, spinorial, and other extensions”, Rev. Mex. Fís., vol. 59, no. 2, pp. 141–0, Jan. 2013.

Issue

Vol. 59 No. 2 (2013): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.