A complex Borel–Bernstein theorem

Robert, Gerardo González

doi:10.1007/s40590-021-00399-z

Bol. Soc. Mat. Mex.

2021

DOI: 10.1007/s40590-021-00399-z

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A complex Borel–Bernstein theorem

Gerardo González Robert

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Extreme Value Theory for Hurwitz Complex Continued Fractions

Kirsebom

2021

Entropy

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The Hurwitz complex continued fraction is a generalization of the nearest integer continued fraction. In this paper, we prove various results concerning extremes of the modulus of Hurwitz complex continued fraction digits. This includes a Poisson law and an extreme value law. The results are based on cusp estimates of the invariant measure about which information is still limited. In the process, we obtained several results concerning the extremes of nearest integer continued fractions as well.

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Extreme Value Theory for Hurwitz Complex Continued Fractions

Kirsebom

2021

Entropy

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A complex Borel–Bernstein theorem

Cited by 1 publication

References 13 publications

Extreme Value Theory for Hurwitz Complex Continued Fractions

Extreme Value Theory for Hurwitz Complex Continued Fractions

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