4 citations · 4 across the 7 of their papers we have counts for
7 papers
Superoptimal continued fractions
Slade Sanderson
Motivated by the optimal continued fractions studied independently by Selenius and Bosma, we define and introduce algorithms producing superoptimal continued fraction expansions of…
Inducing contractions of the mother of all continued fractions
Karma Dajani, Cor Kraaikamp, Slade Sanderson
We introduce a new, large class of continued fraction algorithms producing what are called contracted Farey expansions. These algorithms are defined by coupling two acceleration te…
A unifying theory for metrical results on regular continued fraction convergents and mediants
Karma Dajani, Cor Kraaikamp, Slade Sanderson
We revisit Ito's (\cite{I1989}) natural extension of the Farey tent map, which generates all regular continued fraction convergents and mediants of a given irrational. With a sligh…
Ergodic properties of a parameterised family of symmetric golden maps: the matching phenomenon revisited
Karma Dajani, Slade Sanderson
We study a one-parameter family of interval maps , with the golden mean, defined on by where . For each $T…
Constructing lattice surfaces with prescribed Veech groups: an algorithm
Slade Sanderson
The Veech group of a translation surface is the group of Jacobians of orientation-preserving affine automorphisms of the surface. We present an algorithm which constructs all trans…
Canonical translation surfaces for computing Veech groups
Brandon Edwards, Slade Sanderson, Thomas A. Schmidt
For each stratum of the space of translation surfaces, we introduce an infinite translation surface containing in an appropriate manner a copy of every translation surface of the s…
Angels' staircases, Sturmian sequences, and trajectories on homothety surfaces
Joshua Bowman, Slade Sanderson
A homothety surface can be assembled from polygons by identifying their edges in pairs via homotheties, which are compositions of translation and scaling. We consider linear trajec…