Sharapov V.G. Invariant measures of quasiendomorphisms given by nowhere differentiable maps

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Sharapov Victor Georgievich
 
Candidate of Physics and Mathematics, Associate Professor, Chair of Fundamental Information Science and Optimal Control, Volgograd State University
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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. In the paper a method of constructing of invariant measures for one class of quasiendomorphisms, which are continuous nowhere differentiable functions, is given. Cases of exact, ergodic nonexact and nonergodic quasiendomorphisms are considered.

Key words: invariant measures, continuous nowhere differentiable functions, exact and ergodic quasiendomorphisms, exact transformations, ergodicity, quasiendomorphisms.

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Invariant measures of quasiendomorphisms given by nowhere differentiable maps by Sharapov V.G. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №2 (15) 2011 pp. 91-93

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