Existence of invariant curves for certain classes of piecewise isometries

Lead Research Organisation: University of Exeter
Department Name: Mathematics

Abstract

Although numerical experiments (see Ashwin P., Goetz A., Peres P., Rodrigues A., (2018). Embeddings of Interval Exchange Trans-
formations into Planar Piecewise Isometries, Ergodic Theory and Dynamical Systems, 1-27), support that the set ${\mathcal U(\lambda, \eta)$ should be nonempty for the parameters in consideration, it is not known whether this is true. Indeed, this
is related to one of the greatest open questions in this field of study: whether typical families of PWIs support embeddings of IETs.

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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/V520317/1 01/10/2020 31/10/2025
2406096 Studentship EP/V520317/1 01/10/2020 30/09/2024 Noah Cockram