Additive and geometric transversality of fractal sets in the integers

By juxtaposing ideas from fractal geometry and dynamical systems, Furstenberg proposed a series of conjectures in the late 1960's that explore the relationship between digit expansions with respect to multiplicatively independent bases. In this work, we introduce and study — in the discrete con...

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Veröffentlicht in:	Journal of the London Mathematical Society 2024-05, Vol.109 (5), p.n/a
Hauptverfasser:	Glasscock, Daniel, Moreira, Joel, Richter, Florian K.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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