264 citations · 1.1k across the 39 of their papers we have counts for
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Log-periodic drift oscillations in self-similar billiards
Felipe Barra, Nikolai Chernov, Thomas Gilbert
We study a particle moving at unit speed in a self-similar Lorentz billiard channel; the latter consists of an infinite sequence of cells which are identical in shape but growing e…
Steady-state conduction in self-similar billiards
Felipe Barra, Thomas Gilbert
The self-similar Lorentz billiard channel is a spatially extended deterministic dynamical system which consists of an infinite one-dimensional sequence of cells whose sizes increas…
Non-equilibrium Lorentz gas on a curved space
Felipe Barra, Thomas Gilbert
The periodic Lorentz gas with external field and iso-kinetic thermostat is equivalent, by conformal transformation, to a billiard with expanding phase-space and slightly distorted…
Drift of particles in self-similar systems and its Liouvillian interpretation
Felipe Barra, Thomas Gilbert, Mauricio Romo
We study the dynamics of classical particles in different classes of spatially extended self-similar systems, consisting of (i) a self-similar Lorentz billiard channel, (ii) a self…
Algebraic decay in hierarchical graphs
Felipe Barra, Thomas Gilbert
We study the algebraic decay of the survival probability in open hierarchical graphs. We present a model of a persistent random walk on a hierarchical graph and study the spectral…