Some Monoids of Pisot Matrices

DOI10.1007/978-3-030-16833-9_3zbMath1445.15016arXiv1506.03692OpenAlexW560925849MaRDI QIDQ3296159

Artur Avila, Vincent Delecroix

Publication date: 7 July 2020

Published in: New Trends in One-Dimensional Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03692

zbMATH Keywords

spectral radiusPisot matricesPisot spectrum

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Ergodic theorems, spectral theory, Markov operators (37A30) Relations between ergodic theory and number theory (37A44)

Related Items (10)

Multidimensional continued fractions and symbolic codings of toral translations ⋮ Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ Eigenvalues of minimal Cantor systems ⋮ On the second Lyapunov exponent of some multidimensional continued fraction algorithms ⋮ Diffusion for chaotic plane sections of 3-periodic surfaces ⋮ Facet Connectedness of Arithmetic Discrete Hyperplanes with Non-Zero Shift ⋮ A family of minimal and renormalizable rectangle exchange maps ⋮ Almost everywhere balanced sequences of complexity \(2n + 1\) ⋮ Pure discrete spectrum for a class of one-dimensional substitution tiling systems

Cites Work

• Unnamed Item
• Unnamed Item
• The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms
• Substitutions in dynamics, arithmetics and combinatorics
• Un exemple de semi-conjugaison entre un échange d'intervalles et une translation sur le tore
• Représentation géométrique de suites de complexité $2n+1$
• Ergodic properties of a dynamical system arising from percolation theory
• The Rauzy Gasket
• Pisot substitutions and Rauzy fractals

This page was built for publication: Some Monoids of Pisot Matrices