Weiwei Cui (Centre for Mathematical Sciences, Lund University): "Perturbations of non-recurrent exponential maps" - June 16, 2022

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This talk was part of the Dynamical Systems seminar at the University of Liverpool.

https://www.liverpool.ac.uk/mathematical-sciences/research/pure-mathematics/research/dynamical-systems/seminars/

Abstract: Consider the exponential family {λez : λ∈ℂ\{0}}. A parameter λ is non-recurrent if 0∉ω(0). We show that the set of non-recurrent parameters has Lebesgue measure zero. Moreover, non-recurrent parameters can be approximated by hyperbolic ones. This is based on joint work with Magnus Aspenberg.

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  • Added:27 Jun 2022
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