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math.DS2021
Chaotic sets and Hausdorff dimension for Lüroth expansions
Rafael Alcaraz Barrera, Gerardo González Robert
We provide new similarities between regular continued fractions and Lüroth series in terms of topological dynamics and Hausdorff dimension. In particular, we establish a complete a…
math.NT2021
A Complex Borel-Bernstein Theorem
Gerardo González Robert
Zero-one laws are a central topic in metric Diophantine approximation. A classical example of such laws is the Borel-Bernstein theorem. In this note, we prove a complex analogue of…