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Prime periods on the interval

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Seminario de Sistemas Dinámicos

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.


Viernes 28/4 a las 14:30
Salón de seminarios del IMERL

Contacto: Santiago Martinchich - smartinchich [at] cmat.edu.uy (smartinchich[at]cmat[dot]edu[dot]uy)


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=djAxdmg2K3NDVEU0V3…