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Home  >  Transactions of NAMP VOL.12

4. COHOMOLOGICAL STABILITY AND HARMONIC ANALYSIS OF DISCRETE DYNAMICAL SYSTEMS OF COMPACT CONNECTED LIE GROUPS by M.E. Egwe and N.O. Okeke Volume 12, (July – Sept., 2020 Issue)
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COHOMOLOGICAL STABILITY AND HARMONIC ANALYSIS OF DISCRETE DYNAMICAL SYSTEMS OF COMPACT CONNECTED LIE GROUPS

M.E. Egwe and N.O. Okeke

Department of Mathematics, University of Ibadan, Ibadan, Nigeria

Physical and Mathematical Sciences, Dominican University, Ibadan

Abstract

The study of cohomological equations on compact Lie groups has in recent times undergone much development, revealing deep connections with Harmonic Analysis of discrete dynamical systems and ergodicity.  Here, we give a necessary and sufficient conditions for cohomological stability and Harmonic Analysis of discrete dynamical systems of compact connected Lie groups.

Keywords: Cohomological equations, compact Lie groups, Cohomological stability, Dynamical system, ergodicity

Mathematics Subject Classification (2010): 37-XX, 22Fxx, 22Exx, 22E40

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