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Alexander Baumgartner
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Research & Projects
Alexander Baumgartner
About
Research & Projects
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Complex Continued Fractions and Extremal Theory
For the each of the five Euclidean rings of complex quadratic integers, we consider a complex continued fraction algorithm with digits in the ring. We show for each algorithm that the maximal digit obeys a Fréchet distribution. We use this to find a limiting distribution for cusp excursions on Bianchi orbifolds associated with the aforementioned rings of quadratic integers.
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