4 papers
Exchange of Intervals and Intrinsic Ergodicity of the Negative Beta shift
Florent Nguema Ndong, Anne Bertrand-Mathis
This work highlights a peculiar phenomenon of interval exchange. Considering a real number beta less than -1, the negative beta-shift is coded if and only if its absolute value is…
Contribution on The Intrinsic Ergodicity of the Negative Beta-shift
Florent Nguema Ndong
Let be a real number less than -1. In this paper, we prove the uniqueness of the measure with maximal entropy of the negative -shift. Endowed with the shift, this symbolic…
On the Lyndon Dynamical Systems
Florent Nguema Ndong
Given a totally finite ordered alphabet , endowing the set of words over with the alternating lexicographic order, we define a new class of Lyndon words. We study the fu…
The -shift and associated Zeta Function
Florent Nguema Ndong
Given a real number , we study the associated -shift introduced by S. Ito and T. Sadahiro. We compares some aspects of the -shift to the -shift. When the exp…