Generic robustness of spectral decompositions

By F. Abdenur. 2003

62 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1cf98e14de6827602444448828975072b4c299ba

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. S. Crovisier
2. C. Bonatti
3. F. Abdenur
4. Marcelo Viana
5. Lorenzo J. Díaz
6. Artur Avila
7. E. Pujals

In Mathematical Physics

1. S. Crovisier
2. C. Bonatti
3. F. Abdenur
4. Marcelo Viana
5. Lorenzo J. Díaz
6. Jiagang Yang
7. Artur Avila
8. E. Pujals

In Statistical and Nonlinear Physics

1. S. Crovisier
2. C. Bonatti
3. F. Abdenur
4. Marcelo Viana
5. Jiagang Yang
6. Artur Avila
7. Lorenzo J. Díaz
8. Dmitry Dolgopyat

Citations in the corpus

• Periodic points and homoclinic classes (2006, unknown): “Moreover, every chain recurrence class containing a periodic point p is the homoclinic class of p. See also some preliminary results in [ Ab , Ar, GW, We1].”
• Nonuniform hyperbolicity for C^1-generic diffeomorphisms (2008, methodology): “ions of hyperbolic basic sets. Bonatti-Diaz [BD] used Hayashi’s Connecting Lemma [H] to show that every isolated transitive set of a C1-generic diffeomorphisms is a relative homoclinic class (see also [Ab]). Though at this point it is not known whether every generic diffeomorphism exhibits some isolat”