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Inaugural Conference of the Fibonacci Laboratory

Fractal Geometry of Non-uniformly Hyperbolic Horseshoes

speaker: Carlos Matheus Silva Santos ( CNRS)

abstract: In his seminal works in Celestial Mechanics, H. Poincare emphasized the importance of homoclinicheteroclinic bifurcations as a source of rich dynamical phenomena.

A recent tour-de-force by J. Palis and J.-C. Yoccoz substantially advanced our understanding of heteroclinic bifurcations by showing that certain objects called "non-uniformly hyperbolic horseshoes" are very common near heteroclinic bifurcations of fat horseshoes.

In this talk, we will discuss some results (obtained in collaboration with J. Palis and J.-C. Yoccoz) about the fractal geometry of these "non-uniformly hyperbolic horseshoes".

timetable:
Tue 6 Mar, 11:25 - 12:25, Sala Azzurra
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