12 citations · 26 across the 15 of their papers we have counts for
15 papers
A Renormalization Scheme for Semi-Regular Continued Fractions
Niels Langeveld, David Ralston
In this article we study a renormalization scheme with which we find all semi-regular continued fractions of a number in a natural way. We define two maps, T_slow and T_fast: these…
Residual generic ergodicity of periodic group extensions over translation surfaces
David Ralston, Serge Troubetzkoy
Continuing the work in \cite{ergodic-infinite}, we show that within each stratum of translation surfaces, there is a residual set of surfaces for which the geodesic flow in almost…
Ergodic infinite group extensions of geodesic flows on translation surfaces
David Ralston, Serge Troubetzkoy
We show that generic infinite group extensions of geodesic flows on square tiled translation surfaces are ergodic in almost every direction, subject to certain natural constraints.…
Ergodicity of certain cocycles over certain interval exchanges
David Ralston, Serge Troubetzkoy
We show that for odd-valued piecewise-constant skew products over a certain two parameter family of interval exchanges, the skew product is ergodic for a full-measure choice of par…
-recurrence in cocycles
Jon Chaika, David Ralston
After relating the notion of -recurrence in skew products to the range of values taken by partial ergodic sums and Lyapunov exponents, ergodic -valued cocycles over…
1/2-Heavy Sequences Driven By Rotation
David Ralston
We investigate the set of such that for every positive integer , the first points in the orbit of under rotation by irrational contain at least as many v…