Thomas A. Schmidt

activity

20042026

most citedNatural extensions and entropy of

α

-continued fractions

24 citations · 68 across the 24 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DS2017★ 4 cited

Natural extensions and Gauss measures for piecewise homographic continued fractions

Pierre Arnoux, Thomas A. Schmidt

We give a heuristic method to solve explicitly for an absolutely continuous invariant measure for a piecewise differentiable, expanding map of a compact subset $I$ of Euclidean spa…

math.NT2017

Continued fractions for rational torsion

Katthaleeya Daowsud, Thomas A. Schmidt

We exhibit a method to use continued fractions in function fields to find new families of hyperelliptic curves over the rationals with given torsion order in their Jacobians. To sh…

math.DS2017★ 3 cited

Synchronization is full measure for all $α$ -deformations of an infinite class of continued fraction transformations

Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt

We study an infinite family of one-parameter deformations, so-called $α$ -continued fractions, of interval maps associated to distinct triangle Fuchsian groups. In general for such…

Natural extensions and Gauss measures for piecewise homographic continued fractions

Continued fractions for rational torsion

Synchronization is full measure for all α-deformations of an infinite class of continued fraction transformations

Synchronization is full measure for all $α$ -deformations of an infinite class of continued fraction transformations