Renormalization in Dynamics - Pisa 2016

poster: Transfer Operator in Ergodic Theory associated to the Farey map

speaker: Imen Chouari (Faculty of Sciences, University of Monastir)

abstract: We interest the reasons for which we study the transfer operator in ergodic theory of the Farey map. In this respect, we study the role of the transfer operator in the ergodic theory of expanding maps of the interval and What happens to the essential spectrum of the operator as the map is less and less expanding. At this point, we can introduce the Farey map, and its connections to number theory through the Farey tree and the expansion in continued fractions of real numbers.

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