A train track directed random walk on Out(Fr)
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Publication:2942800
DOI10.1142/S0218196715500186zbMath1351.20025arXiv1409.8044OpenAlexW3105418068MaRDI QIDQ2942800
Ilya Kapovich, Catherine Pfaff
Publication date: 11 September 2015
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.8044
random walksCayley graphsindex theoryfree group automorphismsouter spacefully irreducible automorphismstrain track maps
Sums of independent random variables; random walks (60G50) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Probabilistic methods in group theory (20P05)
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Cites Work
- Unnamed Item
- Botany of irreducible automorphisms of free groups.
- Random walks on the mapping class group
- Geometric intersection number and analogues of the curve complex for free groups.
- Topology of finite graphs
- Train tracks and automorphisms of free groups
- Laminations, trees, and irreducible automorphisms of free groups
- The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
- Stallings foldings and subgroups of free groups
- Very small group actions on \(\mathbb{R}\)-trees and Dehn twist automorphisms
- Stable actions of groups on real trees
- An index for counting fixed points of automorphisms of free groups
- Rips induction: index of the dual lamination of an \(\mathbb R\)-tree.
- Ideal Whitehead graphs in \(\mathrm{Out}(F_r)\). II: The complete graph in each rank
- The Tits alternative for \(\text{Out}(F_n)\). II: A Kolchin type theorem.
- Hyperbolicity of the complex of free factors.
- Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
- Non-negative matrices and Markov chains.
- Counting growth types of automorphisms of free groups.
- Dynamics of Out(Fn) on the boundary of outer space
- Geometric group actions on trees
- Parageometric outer automorphisms of free groups
- IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE
- The rank of actions on ${R}$-trees
- Statistics and compression of scl
- Dynamics of hyperbolic iwips
- Free group automorphisms with many fixed points at infinity
- Algorithmic detectability of iwip automorphisms
