23 citations · 99 across the 21 of their papers we have counts for
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math.DS2016★ 2 cited
Traces of random operators associated with self-affine Delone sets and Shubin's formula
Scott Schmieding, Rodrigo Treviño
We study operators defined on a Hilbert space defined by a self-affine Delone set and show that the usual trace of a restriction of the operator to finite-dimensional subspaces…
math.DS2016★ 1 cited
Flat surfaces, Bratteli diagrams, and unique ergodicity à la Masur
Rodrigo Treviño
Recalling the construction of a flat surface from a Bratteli diagram, this paper considers the dynamics of the shift map on the space of all bi-infinite Bratteli diagrams as the re…
math.DS2016★ 3 cited
Logarithmic laws and unique ergodicity
Jon Chaika, Rodrigo Treviño
We show that Masur's logarithmic law of geodesics in the moduli space of translation surfaces does not imply unique ergodicity of the translation flow, but that a similar law invol…