Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for outer space

DOI10.2140/PJM.2015.277.371zbMATH Open1367.20048arXiv1406.0434OpenAlexW3105678905MaRDI QIDQ498701

Publication date: 29 September 2015

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Abstract: We quantitatively relate the Patterson-Sullivant currents and generic stretching factors for free group automorphisms to the asymmetric Lipschitz metric on Outer space and to Guirardel's intersection number.

Full work available at URL: https://arxiv.org/abs/1406.0434

zbMATH Keywords

geodesic currents Patterson-Sullivan measures Culler-Vogtmann's outer space

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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