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Graph-directed systems and self-similar measures on limit spaces of self-similar groups
- Source :
- Advances in Mathematics. (3):2169-2191
- Publisher :
- Elsevier Inc.
-
Abstract
- Let $G$ be a group and $\phi:H\to G$ be a contracting homomorphism from a subgroup $H<br />Comment: 25 pages, 2 figures
- Subjects :
- Mathematics(all)
General Mathematics
Riemann sphere
02 engineering and technology
Rational function
Group Theory (math.GR)
Dynamical Systems (math.DS)
Self-affine tile
01 natural sciences
Combinatorics
symbols.namesake
Mathematics::Group Theory
0202 electrical engineering, electronic engineering, information engineering
FOS: Mathematics
0101 mathematics
Invariant (mathematics)
Mathematics - Dynamical Systems
Self-similar group
Mathematics
Lebesgue measure
Self-similar measure
010102 general mathematics
Graph-directed system
Limit space
020206 networking & telecommunications
Bernoulli shift
Graph
Primary 28A80, 20F65, Secondary 37B10, 37D40
symbols
Homomorphism
Bernoulli scheme
Tiling
Mathematics - Group Theory
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Advances in Mathematics
- Accession number :
- edsair.doi.dedup.....39092314b77a2ada35064c11ddbb8cb5
- Full Text :
- https://doi.org/10.1016/j.aim.2010.09.018