23 citations · 99 across the 21 of their papers we have counts for
Showing 2015 · math.DSShow all
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math.DS2015★ 13 cited
Self affine Delone sets and deviation phenomena
Scott Schmieding, Rodrigo Treviño
We study the growth of norms of ergodic integrals for the translation action on spaces coming from expansive, self-affine Delone sets. The linear map giving the self-affinity induc…
math.DS2015★ 5 cited
Indiscriminate covers of infinite translation surfaces are innocent, not devious
W. Patrick Hooper, Rodrigo Treviño
We consider the interaction between passing to finite covers and ergodic properties of the straight-line flow on finite area translation surfaces with infinite topological type. In…
math.DS2015★ 3 cited
Diophantine approximations for translation surfaces and planar resonant sets
Luca Marchese, Rodrigo Treviño, Steffen Weil
We consider Teichmüller geodesics in strata of translation surfaces. We prove lower and upper bounds for the Hausdorff dimension of the set of parameters generating a geodesic boun…