5 citations · 11 across the 7 of their papers we have counts for
15 papers
Non-local Dirichlet forms, Gibbs measures, and a cohomological Dirichlet principle for Cantor sets
Rodrigo Treviño
In this paper I study properties of the generators of non-local Dirichlet forms on ultrametric spaces which are the path space of simple stationary…
On transversal Hölder regularity for flat Wieler solenoids
Rodrigo Treviño
This paper studies various aspects of inverse limits of locally expanding affine linear maps on flat branched manifolds, which I call flat Wieler solenoids. Among the aspects studi…
Bratteli diagrams, translation flows and their -algebras
Ian F. Putnam, Rodrigo Treviño
In [LT16], Kathryn Lindsey and the second author constructed a translation surface from a bi-infinite Bratteli diagram. We continue an investigation into these surfaces. The constr…
Aperiodic and linearly repetitive Lorentz gases of finite horizon are not exponentially mixing
Rodrigo Treviño, Agnieszka Zelerowicz
We prove that aperiodic and linearly repetitive Lorentz gases with finite horizon are not mixing with exponential or stretched exponential speed in any dimension for any class of H…
Spectral cocycle for substitution tilings
Boris Solomyak, Rodrigo Treviño
The construction of spectral cocycle from the case of 1-dimensional substitution flows by Bufetov-Solomyak [arXiv:1802.04783] is extended to the setting of pseudo-self-similar tili…
Statistical properties of Lorentz gases on aperiodic tilings, Part 1
Rodrigo Treviño, Agnieszka Zelerowicz
We consider the Lorentz gas model of category A (that is, with no corners and of finite horizon) on aperiodic repetitive tilings of of finite local complexity. We sh…