STOCHASTIC MODEL OF EVOLUTION OF HOMOTOPY TYPE OF PHASE
DOI:
https://doi.org/10.31618/ESSA.2782-1994.2021.1.68.17Keywords:
Topological space, covering, entropy, random process.Abstract
In this paper, we introduced the concepts of full number invariant for homotopy type and entropy of homotopy type of some topological spaces.
Based on this concept discrete random process describing evolution of the homotopy type of phase space of c closed dynamical system there is built.
In this paper we introduced also the entropy of trajectory of evolution of homotopy type of phase space of closed dynamical system, constructed random value on set this trajectories, proved that the mathematical expectation of this random value coincide to sequence of mathematical expectations in the phase spaces of the constructed random process with respect to the corresponding random values.
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