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

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math.NT2009

Continued fractions and heavy sequences

Michael Boshernitzan, David Ralston

We initiate the study of the sets $H (c)$ , $0 < c < 1$ , of real $x$ for which the sequence $(k x)_{k \geq 1}$ (viewed mod 1) consistently hits the interval $[0, c)$ at least as often as exp…

math.NT2009★ 1 cited

Controlled Divergence of Discrepancy Sums

David Ralston

Answering an informal question of K. Park, we show that by fixing some irrational alpha to have a particular standard continued fraction expansion, we may force the associated disc…