On the uniqueness of the maximizing measure for rational maps

Ricardo Mañé1
1I.M.P.A., Rio de Janeiro

Tóm tắt

Từ khóa


Tài liệu tham khảo

R. Bowen,Some systems with unique equilibrium states, Math. Syst. Theory 8 (1974), 193–202.

M. Denker, C. Grillemberg, K. Sigmund,Ergodic Theory in Compact Spaces, Lecture Notes in Mathematics 527, Springer-Verlag.

E. Hille,Analytic Functions Theory.

M. Gromov,On the entropy of holomorphic maps, Preprint, I.H.E.S.

A. Lopes, A. Freire, R. Mañé,An invariant measure for rational functions (to appear).

M. Misiurevicz,Diffeomorphisms without any invariant measures with maximum entropy, Bull. Acad. Pol. Sci. 21 (1973), 903–910.

M. Misiurevicz, F. Przyticki,Topological entropy and degree of smooth mappings, Bull. Acad. Pol. Sci. 25 (1977), 573–574.

R. Mañé,A proof of Pesin's formula, Ergodic Theory and Dynamical Systems, 1 (1981), 95–103.

D. Ruelle,An equality for the entropy of differentiable maps, Bol. Soc. Bras. Mat 9 (1978), 83–87.