Stable Strata of Geodesics in Outer Space

DOI10.1093/imrn/rnx269zbMath1457.57035arXiv1706.00673OpenAlexW2963893277MaRDI QIDQ5855169

Catherine Pfaff, Yael Algom-Kfir, Ilya Kapovich

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00673

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) General geometric structures on low-dimensional manifolds (57M50)

Related Items (5)

Random trees in the boundary of outer space ⋮ Taking the high-edge route of rank-3 outer space ⋮ Counting conjugacy classes of fully irreducibles: double exponential growth ⋮ Recurrence of quadratic differentials for harmonic measure ⋮ Random outer automorphisms of free groups: Attracting trees and their singularity structures

Cites Work

• Unnamed Item
• Index realization for automorphisms of free groups
• Metric properties of outer space.
• Random walks on the mapping class group
• The recognition theorem for \(\text{Out}(F_n)\).
• Lone axes in outer space
• Deformation spaces of \(G\)-trees and automorphisms of Baumslag-Solitar groups.
• Topology of finite graphs
• Train tracks and automorphisms of free groups
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• Random walks on weakly hyperbolic groups
• Automorphisms of free groups and outer space
• The Poisson boundary of the mapping class group
• An index for counting fixed points of automorphisms of free groups
• The metric completion of outer space
• Ideal Whitehead graphs in \(\mathrm{Out}(F_r)\). II: The complete graph in each rank
• Deformation spaces of trees.
• Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms
• A train track directed random walk on Out(F_r)
• Axes in outer space
• The stratum of random mapping classes
• Algorithmic detectability of iwip automorphisms
• Random Extensions of Free Groups and Surface Groups are Hyperbolic

This page was built for publication: Stable Strata of Geodesics in Outer Space