Number of equilibrium states of piecewise monotonic maps of the interval-Reference-Cited by-同舟云学术

Number of equilibrium states of piecewise monotonic maps of the interval

Published:1995 Issue:9 Volume:123 Page:2901-2907
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Buzzi Jérôme

Abstract

We prove a bound of the form suggested by S. Newhouse for the number of measures with maximal entropy for a piecewise monotonic map with N monotonicity intervals: 4 ( N − 1 ) 4(N - 1) . More generally we consider a potential ϕ \phi of bounded distortion. If sup ϕ > P ( f , ϕ ) \sup \phi > P(f,\phi ) , we give an explicit bound in terms of N and of the pressure.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1995-123-09/S0002-9939-1995-1277099-4/S0002-9939-1995-1277099-4.pdf

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