David Ralston

activity

20092023

most citedErgodic infinite group extensions of geodesic flows on translation surfaces

12 citations · 26 across the 15 of their papers we have counts for

collaborators

Showing 2011Show all

5 papers · 1 filter

math.DS2011★ 3 cited

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…

math.DS2011

$ω$ -recurrence in cocycles

Jon Chaika, David Ralston

After relating the notion of $ω$ -recurrence in skew products to the range of values taken by partial ergodic sums and Lyapunov exponents, ergodic $Z$ -valued cocycles over…

math.DS2011★ 2 cited

1/2-Heavy Sequences Driven By Rotation

David Ralston

We investigate the set of $x \in S^{1}$ such that for every positive integer $N$ , the first $N$ points in the orbit of $x$ under rotation by irrational $θ$ contain at least as many v…

math.DS2011

Substitutions and 1/2-Discrepancy of ${n θ + x}$ \rm{II}

David Ralston

Ergodic properties of a renormalization procedure for studying the 1/2-discrepancy sums driven by rotations are studied, with corresponding implications for almost-sure bounds on t…

math.DS2011

Substitutions and 1/2-discrepancy of ${n θ + x}$

David Ralston

The sequence of 1/2-discrepancy sums of ${x + i θ mod 1}$ is realized through a sequence of substitutions on an alphabet of three symbols; particular attention is paid to $x = 0$ .…

Ergodicity of certain cocycles over certain interval exchanges

ω-recurrence in cocycles

1/2-Heavy Sequences Driven By Rotation

Substitutions and 1/2-Discrepancy of {nθ+x} \rm{II}

Substitutions and 1/2-discrepancy of {nθ+x}

$ω$ -recurrence in cocycles

Substitutions and 1/2-Discrepancy of ${n θ + x}$ \rm{II}

Substitutions and 1/2-discrepancy of ${n θ + x}$