Slade Sanderson

activity

20182025

most citedA unifying theory for metrical results on regular continued fraction convergents and mediants

4 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing math.DSShow all

2 papers · 1 filter

math.DS2023★ 4 cited

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…

math.DS2023

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 ${T_{α}}_{α \in [1, β]}$ , with $β$ the golden mean, defined on $[- 1, 1]$ by $T_{α} (x) = β^{1 + ∣ t ∣} x - tβ α$ where $t \in {- 1, 0, 1}$ . For each $T…