Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences

DOI10.1016/j.laa.2012.10.013zbMath1368.11005OpenAlexW2077567940MaRDI QIDQ1938671

Philippe Dumas

Publication date: 22 February 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.10.013

zbMATH Keywords

self-similarityasymptotic analysisjoint spectral radiusdilation equationradix-rational sequencerational formal power series

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Radix representation; digital problems (11A63)

Related Items (16)

Spectral theory of regular sequences ⋮ Asymptotic analysis of \(q\)-recursive sequences ⋮ Automatic sequences as good weights for ergodic theorems ⋮ Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus ⋮ Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated ⋮ ZAREMBA, SALEM AND THE FRACTAL NATURE OF GHOST DISTRIBUTIONS ⋮ Unnamed Item ⋮ General Framework ⋮ Number Theoretic Aspects of Regular Sequences ⋮ A natural probability measure derived from Stern’s diatomic sequence ⋮ Counting the number of non-zero coefficients in rows of generalized Pascal triangles ⋮ Behavior of digital sequences through exotic numeration systems ⋮ Mahler takes a regular view of Zaremba ⋮ Counting Subwords Occurrences in Base-b Expansions ⋮ Asymptotic analysis of regular sequences ⋮ Output sum of transducers: limiting distribution and periodic fluctuation

Cites Work

• A summation formula related to the binary digits
• Notes on introductory combinatorics
• Uniform refinement of curves
• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• The ring of \(k\)-regular sequences
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• Mellin transforms and asymptotics: Digital sums
• Mellin transforms and asymptotics. The mergesort recurrence
• The finiteness conjecture for the generalized spectral radius of a set of matrices
• Precise distribution properties of the van der Corput sequence and related sequences
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Ten Lectures on Wavelets
• Simple Regularity Criteria for Subdivision Schemes
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Characterizations of Scaling Functions: Continuous Solutions
• Automatic Sequences
• Analysis of digital functions and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences