Physical measures for infinite-modal maps

• Autorzy: Vítor Araújo , Maria José Pacifico
• Języki publikacji: EN

Abstrakty

EN

We analyze certain parametrized families of one-dimensional maps with infinitely many critical points from the measure-theoretical point of view. We prove that such families have absolutely continuous invariant probability measures for a positive Lebesgue measure subset of parameters. Moreover, we show that both the density of such a measure and its entropy vary continuously with the parameter. In addition, we obtain exponential rate of mixing for these measures and also show that they satisfy the Central Limit Theorem.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 203
• Numer: 3
• Strony: 211-262

Daty

wydano

2009

Twórcy

autor

Vítor Araújo

• Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, 21.945-970 Rio de Janeiro, R. J., Brazil
• Centro de Matemática, da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

autor

Maria José Pacifico

• Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, 21.945-970 Rio de Janeiro, R. J., Brazil

Identyfikatory

DOI

10.4064/fm203-3-2