[Todos CMAT] Seminario de Sistemas Dinámicos - Gabriel Fuhrmann (Durham University)

[seminarios en cmat.edu.uy]

Seminario de Sistemas Dinámicos
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Título: "Prime periods on the interval"

Expositor: Gabriel Fuhrmann (Durham University)

Resumen:
 
Given two continuous self-maps f and g on the interval which have all periodic
orbits in common, it is natural to ask whether f=g on the closure of the
periodic points (which is known to coincide with the closure of the recurrent
points!).

We show this is the case wherever orbits with prime periods are dense.
Specifically, we show that mixing interval maps are uniquely determined by their
periodic orbits. We discuss some consequences of our result and are open to
feedback as this is very much a work in progress.

Joint work with Maik Gröger and Alejandro Passeggi .
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Viernes 28/4 a las 14:30, Salón de seminarios del IMERL

Contacto: Santiago Martinchich - smartinchich en cmat.edu.uy
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El seminario será transmitido por el siguiente link si alguien manifiesta
interés de que así ocurra hasta el día antes del seminario: https://salavirtual-
udelar.zoom.us/j/83020032334?pwd=djAxdmg2K3NDVEU0V3RZSXkxNW8xUT09
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