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RELATED STAFF
Mauricio Barahona
Davoud Cheraghi
John Elgin
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DynamIC Seminars (Complete List)

Name Title Date Time Room
André de Carvalho (USP)TBSpAgs: Super generalized pseudo-Anosov mapsAbstract: The purpose of this talk is not to set a new record for the number of noun modifiers in mathematical definitions, but to present a construction which applies to graph maps in general and yields interesting surface homeomorphisms as follows: 1) a pseudo-Anosov map if the graph map is a train track map; 2) a generalized pseudo-Anosov map if the graph map is post-critically finite and has an irreducible aperiodic transition matrix; 3) an interesting type of surface homeomorphisms which generalizes both the previous classes otherwise. In particular, this produces a unified construction of surface homeomorphisms whose dynamics mimics that of the tent family of interval endomorphisms, completing an earlier construction of unimodal generalized pseudo-Anosov maps in the post-critically finite case. This is joint work with Phil Boyland and Toby Hall. Tuesday, 6 December 2016 14:00 Huxley 340
Raj Prasad (University of Massachussetts)Multitowers, conjugacies and codesAbstract: Tuesday, 13 December 2016 11:00 Huxley 642
Mark Pollicott (University of Warwick)TBAAbstract: TBA Tuesday, 13 December 2016 14:00 Huxley 340
Julian Newman (University of Bielefeld)Topological conjugacy of iterated random orientation-preserving homeomorphisms of the circleAbstract: Suppose we have a parameter-dependent orientation-preserving circle homeomorphism, together with a probability measure $\nu$ on the parameter space. This naturally generates a "random dynamical system" on the circle, where at each time step a parameter is randomly chosen with distribution $\nu$ (independently of all previous time steps) and the associated homeomorphism is applied. Given two parameter-dependent orientation-preserving homeomorphisms defined over the same parameter space (with the same measure), one can define a notion of "topological conjugacy" between the random dynamical systems that they generate. Under certain assumptions, we will classify such parameter-dependent homeomorphisms up to topological conjugacy. Tuesday, 13 December 2016 15:00 Blackett 113
Tomoo Yokoyama (Kyoto University of Education)Topological transitivity and representability of surfaces flowsAbstract: In this talk, we present a necessary and sufficient condition for the existence of dense orbits of continuous flows on compact connected surfaces, which is a generalization of a necessary and sufficient condition on area-preserving flows obtained by H. Marzougui and G. Soler López. We also consider what class of flows on compact surfaces can be characterized by finite labeled graphs. In particular, a class of surface flows, up to topological conjugacy, which contains both the set of Morse Smale flows and the set of area-preserving flows with finite singular points is classified by finite labeled graphs. Finally, we discuss applications to fluid dynamics. Wednesday, 15 March 2017 14:00 Huxley 130

DynamIC Workshops and Mini-Courses (Complete List)

Title Date Venue
Parameter Problems in Analytic DynamicsMonday, 27 June 2016 – Friday, 1 July 2016Imperial College London

Short-term DynamIC Visitors (Complete List)

NameAffiliationArrivalDepartureHost
Ricardo Perez-Marco Institut de Mathematiques de Jussieu Tuesday, 13 December 2016 Tuesday, 20 December 2016 Cheraghi, van Strien

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