Prime periods on the interval

Dia 2023-04-28 14:30:00-03:00
Hora 2023-04-28 14:30:00-03:00
LugarSalón de seminarios del IMERL

Prime periods on the interval

Gabriel Fuhrmann (Durham University)

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.