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Ergodic theory and continuity of the Bowen-Ruelle measure for geometrical Lorenz flows+

Pierre Collet ; Physique Theorique, Ecole Polyteclmique, F-91128 Palaiseau Cedex, France
Charles Tresser ; Physique Theorique, 190 Pare Valrose, 06034 Nice Cedex, France

Sažetak

In this paper we first derive a theorem about the weak stability of the absolutely continuous invariant measure for some expanding mappings of an interval. Using a regular invariant foliation, we can derive for the geometrical Lorenz flows most of the result which are known up to now for expanding maps of the interval, including our stability result for Bowen-Ruelle measures.

Ključne riječi

Hrčak ID:

331344

URI

https://hrcak.srce.hr/331344

Datum izdavanja:

10.1.1988.

Podaci na drugim jezicima: hrvatski

Posjeta: 453 *