Stable intersections of regular Cantor sets with large Hausdorff dimensions

By C. G. Moreira, J. Yoccoz. 2001

157 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/67cfc816205c2161094f7aacdfd20efa4fa4b726

How researchers see this paper

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

In Applied Mathematics

1. J. Palis
2. J. Yoccoz
3. Tamás Keleti
4. Marcelo Viana
5. A. Zorich

In Geometry and Topology

1. J. Palis
2. J. Yoccoz
3. Tamás Keleti

In Mathematical Physics

1. J. Palis
2. Márton Elekes
3. J. Yoccoz
4. A. M'ath'e
5. Tamás Keleti
6. Marcelo Viana
7. A. Zorich
8. Pablo Shmerkin

Citations in the corpus

• Local entropy averages and projections of fractal measures (2009, unknown): “The key device there was the so-called Scale Recurrence Lemma (SRL) of [24].”
• Self-similar and self-affine sets; measure of the intersection of two copies (2007, background): “It is easy to see (U can be chosen as a small ε-neighborhood of K for the first implication) that for any self-affine set”
• Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles (2006, background): “The paper [MY] gives substantially more geometric information in this case, specially concerning tangencies between stable and unstable manifolds (lines) in the hyperbolic continuation Kg of K.”