Density of hyperbolicity in dimension one

By Oleg Kozlovski, W. Shen, Sebastian van Strien. 2007

103 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3829c6193f61817fe9aa3b8d13e5d918c40c11e2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Sebastian van Strien
2. Oleg Kozlovski

In Mathematical Physics

1. Sebastian van Strien
2. Oleg Kozlovski

Citations in the corpus

• Local connectivity and quasi‐conformal rigidity of non‐renormalizable polynomials (2006, background): “maps by Yoccoz [18] and for arbitrary real polynomials in [6].”
• SRB measures for partially hyperbolic systems whose central direction is weakly expanding (2014, unknown): “…to dif-feomorphisms, but the same kind of questions, and the Palis conjecture, also apply to endomorphisms—see for example [9, 10, 17, 24, 32, 31] for the setting of one-dimensional maps, [45] in two dimensions, and [5, 6, 40, 41] for the construction of SRB measures in certain…”