[Todos CMAT] Seminario Sistemas Dinámicos

[Matias Carrasco]

Hola,

este viernes 30/10 a las 14:00 en el salón de seminarios del IMERL tenemos el placer de recibir a Fabio Tal (USP).

Abajo título y resumen.

Saludos

Entropy zero homeomorphisms of the two-sphere

Abstract:
We use a newly developed theory of forcing for surface homeomorphisms to obtain a Poincaré-Bendixson like result for orientation preserving- homeomorphisms of the 2-sphere with zero topological entropy.
If $f$ is such a map, we show that the omega-limit of x for some power of the homeomorphism must be either:

1 -  A cycle made of the union of unlinked fixed points and points heteroclinic to them.
2 -  A set rotating with irrational speed around a fixed point and possibly this fixed point. 
3 -  An "infinitely renormalizable" set where the restriction of the dynamics is semi-conjugate to the odometer.

Joint work with P. Le Calvez
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