Ergodic theory of one dimensional Map

Authors

  • HR Biswas Department of Mathematics, Dhaka University, Dhaka
  • MS Islam Department of Mathematics, Dhaka University, Dhaka

Keywords:

Mathematical space, Euclidean space, Probability, Dynamical system, Invariant

Abstract

In this paper we study one dimensional linear and non-linear maps and its dynamical behavior. We study measure theoretical dynamical behavior of the maps. We study ergodic measure and Birkhoff ergodic theorem. Also, we study some problems using Birkhoff's ergodic theorem.

DOI: http://dx.doi.org/10.3329/bjsir.v47i3.13067

Bangladesh J. Sci. Ind. Res. 47(3), 321-326 2012

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Published

2012-12-21

How to Cite

Ergodic theory of one dimensional Map. (2012). Bangladesh Journal of Scientific and Industrial Research, 47(3), 321-326. https://doi.org/10.3329/bjsir.v47i3.13067

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Section

Articles

How to Cite

Ergodic theory of one dimensional Map. (2012). Bangladesh Journal of Scientific and Industrial Research, 47(3), 321-326. https://doi.org/10.3329/bjsir.v47i3.13067