A. M. Fisher

activity

19942023

most citedDistribution of approximants and geodesic flows

6 citations · 6 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.DS2023

Uniform distribution mod $1$ for sequences of ergodic sums and continued fractions

Albert M. Fisher, Xuan Zhang

We establish a coboundary condition for a sequence of ergodic sums (i.e.~Birkhoff partial sums) to be almost surely uniformly distributed mod $1$ . Applications are given when the s…

math.DS2012★ 6 cited

Distribution of approximants and geodesic flows

Albert M. Fisher, Thomas A. Schmidt

We give a new proof of Moeckel's result that for any finite index subgroup of the modular group, almost every real number has its regular continued fraction approximants equidistri…

math.DS1994

Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets

Tim Bedford, Albert M. Fisher

Given a $C^{1 + γ}$ hyperbolic Cantor set $C$ , we study the sequence $C_{n, x}$ of Cantor subsets which nest down toward a point $x$ in $C$ . We show that $C_{n, x}$ is asymptotically e…

Uniform distribution mod 1 for sequences of ergodic sums and continued fractions

Distribution of approximants and geodesic flows

Ratio geometry, rigidity and the scenery process for hyperbolic Cantor sets

Uniform distribution mod $1$ for sequences of ergodic sums and continued fractions