Commutator methods for the spectral analysis of uniquely ergodic dynamical systems

DOI10.1017/etds.2013.76zbMath1355.37014arXiv1208.3784OpenAlexW3100308768MaRDI QIDQ5262250

Rafael Tiedra de Aldecoa

Publication date: 13 July 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3784

zbMATH Keywords

commutator methodsskew productshorocycle flowsFurstenberg transformations

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (11)

Absolutely continuous spectrum for parabolic flows/maps ⋮ The absolute continuous spectrum of skew products of compact Lie groups ⋮ Decay estimates for unitary representations with applications to continuous- and discrete-time models ⋮ Commutator criteria for strong mixing II. More general and simpler ⋮ Commutator criteria for strong mixing ⋮ Lebesgue spectrum of countable multiplicity for conservative flows on the torus ⋮ Furstenberg transformations on Cartesian products of infinite-dimensional tori ⋮ Spectral properties of horocycle flows for surfaces of constant negative curvature ⋮ Spectral and scattering properties of quantum walks on homogenous trees of odd degree ⋮ Stationary scattering theory for unitary operators with an application to quantum walks ⋮ Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows

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