How many different cascades on a surface can have coinciding hyperbolic attractors? (Q382359)
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scientific article; zbMATH DE number 6228532
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | How many different cascades on a surface can have coinciding hyperbolic attractors? |
scientific article; zbMATH DE number 6228532 |
Statements
How many different cascades on a surface can have coinciding hyperbolic attractors? (English)
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18 November 2013
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The author presents results about to the number of nonconjugate diffeomorphisms of a surface with some properties (having homeomorphic one-dimensional hyperbolic attractors). A lower bound of this number is obtained in terms of the surface genus.
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surface diffeomorphism
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cascade
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essentially nonconjugate surface diffeomorphisms
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one-dimensional hyperbolic attractor
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pseudo-Anosov homeomorphism
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