35 citations · 71 across the 3 of their papers we have counts for
5 papers
Spectral and scattering properties of quantum walks on homogenous trees of odd degree
Rafael Tiedra de Aldecoa
For unitary operators in Hilbert spaces and identification operator , we present results on the derivation of…
Quantum walks with an anisotropic coin II: scattering theory
S. Richard, A. Suzuki, R. Tiedra de Aldecoa
We perform the scattering analysis of the evolution operator of quantum walks with an anisotropic coin, and we prove a weak limit theorem for their asymptotic velocity. The quantum…
Quantum walks with an anisotropic coin I: spectral theory
S. Richard, A. Suzuki, R. Tiedra de Aldecoa
We perform the spectral analysis of the evolution operator U of quantum walks with an anisotropic coin, which include one-defect models, two-phase quantum walks, and topological ph…
Commutator criteria for strong mixing II. More general and simpler
Serge Richard, Rafael Tiedra de Aldecoa
We present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function. Our…
Spectral properties of horocycle flows for surfaces of constant negative curvature
Rafael Tiedra de Aldecoa
We consider flows, called flows, whose orbits are the unstable manifolds of a codimension one Anosov flow. Under some regularity assumptions, we give a short proof of t…