R. Moore

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math.DS2019

Generic Birkhoff Spectra

Zoltán Buczolich, Balázs Maga, Ryo Moore

Suppose that $Ω = {0, 1}^{N}$ and $σ$ is the one-sided shift. The Birkhoff spectrum $ \displaystyle S_{f}( α)=\dim_{H}\Big \{ ω\in Ω:\lim_{N \to \infty} \frac{1}{N} \s…

math.DS2018

$Δ$ -transitivity for several transformations and an application to the coboundary problem

Italo Cipriano, Ryo Moore

Given a compact and complete metric space $X$ with several continuous transformations $T_{1}, T_{2}, \dots T_{H} : X \to X,$ we find sufficient conditions for the existence of a point $x…

Generic Birkhoff Spectra

Δ-transitivity for several transformations and an application to the coboundary problem

$Δ$ -transitivity for several transformations and an application to the coboundary problem