Dynamique transverse de la lamination de Ghys-Kenyon - Mathematics > Dynamical SystemsReport as inadecuate




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Abstract: Using an aperiodic and repetitive subtree of the Cayley graph of the freeAbelian group with two generators, described by Kenyon, Ghys has constructed anexample of minimal Riemann surface lamination having both Euclidean andhyperbolic leaves. We prove that the transverse dynamics of this lamination isrepresented in a measurable way by a 2-adic odometer. In fact, we candescribe its topological transverse dynamics, and prove that the Ghys-Kenyonlamination is affable.



Author: F. Alcalde Cuesta, A. Lozano-Rojo, M. Macho-Stadler

Source: https://arxiv.org/







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