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Stefano Luzzatto: Statistical Properties of Doubly Intermittent Maps

Time: Thu 2022-09-01 14.00

Location: Room 3721, Lindstedtsvägen 25

Participating: Stefano Luzzatto, ICTP

Abstract: We introduce a class of full branch one-dimensional maps with two neutral fixed points as well as critical points and/or singularities, which significantly generalise the standard and well known intermittency maps. We extend many known results to these families but also show that a relatively large subclass of such maps have “historic” or “non-statistical” behaviour and thus in particular have no physical measure. This is joint work with Douglas Coates and Muhammad Mubarak.