We show that the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes is strictly smaller than two.
|C. Matheus, J. Palis and J. -C. Yoccoz, The Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes, work in progress.|
|J. Palis and J.-C. Yoccoz , Non-uniformly hyperbolic horseshoes arising from bifurcations of Poincaré heteroclinic cycles, Publ. Math. Inst. Hautes Études Sci., 110 (2009) , 1-217. doi: 10.1007/s10240-009-0023-x.|
Local dynamics near a heteroclinic tangency
Local dynamics near the parabolic tongues
Simple composition of affine-like maps
Parabolic composition of affine-like maps