Unbounded asymmetry of stretch factors

Spencer Dowdall, Ilya Kapovich, Christopher J. Leininger

Research output: Contribution to journalArticlepeer-review


A result of Handel-Mosher guarantees that the ratio of logarithms of stretch factors of any fully irreducible automorphism of the free group FN and its inverse is bounded by a constant CN. In this short note, we show that this constant CN cannot be chosen independent of the rank N.

Original languageEnglish (US)
Pages (from-to)885-887
Number of pages3
JournalComptes Rendus Mathematique
Issue number11
StatePublished - 2014

ASJC Scopus subject areas

  • Mathematics(all)


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