Absolutely continuous invariant measures for multidimensional expanding maps
By B. Saussol. 2000
180 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0c6ba767ff73f8a06d3bb2627eb32efc5b7b7ed9
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- SRB measures for non-hyperbolic systems with multidimensional expansion (2000, unknown): “Recent developments on this subject include [1,9,21,24].”
- RECURRENCE RATE IN RAPIDLY MIXING DYNAMICAL SYSTEMS (2004, methodology): “This includes for example Axiom A systems with equilibrium states, hyperbolic systems with singularities with their SBR measures such as those considered by chernov in [7], many systems with a Young tower [16, 17], expanding maps with singularities such as in [13], some non-uniformly expanding maps ”
- Chapter 2 – Smooth Ergodic Theory and Nonuniformly Hyperbolic Dynamics (2006, background): “Various generalizations of the BV norm have been suggested in this context, see Saussol [224] and Buzzi & Keller [56], and references therein.”
- A Spectral Approach for Quenched Limit Theorems for Random Expanding Dynamical Systems (2017, unknown): “For this notion properties (V1)–(V9) have been verified by Saussol [46] except for (V7) which is proved in [15] and (V9) which we prove now.”
- Annealed and quenched limit theorems for random expanding dynamical systems (2013, methodology): “We will call such maps piecewise expanding maps in the sense of Saussol.”