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Computing the Hausdorff dimension of subshifts using matrices

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Publication:1381278
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DOI10.1016/S0024-3795(97)00371-6zbMath0893.58023MaRDI QIDQ1381278

Shmuel Friedland

Publication date: 26 July 1998

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


zbMATH Keywords

Hausdorff dimensionsubshift of finite typemodular groupsubgroups of free groupsfinitely generated free subgroups


Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Abelian groups (20K99)


Related Items

Repeated compositions of Möbius transformations



Cites Work

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  • On the entropy of \(\mathbb{Z}^d\) subshifts of finite type
  • Limit eigenvalues of nonnegative matrices
  • Hausdorff dimension of quasi-circles
  • Hausdorff Dimension in Graph Directed Constructions
  • Dimension and Dynamics for Fractal Recurrent Sets
  • The Growth of Powers of a Nonnegative Matrix
  • Diagonal similarity and equivalence for matrices over groups with 0
  • Groups of automorphisms of trees and their limit sets
  • Groups Covered By Permutable Subsets
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