1. Graph-directed systems and self-similar measures on limit spaces of self-similar groups
- Author
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Ievgen Bondarenko and Rostyslav Kravchenko
- 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 - Abstract
Let $G$ be a group and $\phi:H\to G$ be a contracting homomorphism from a subgroup $H, Comment: 25 pages, 2 figures
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