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paper

Unbounded asymmetry of stretch factors

arXiv:1405.0771 · doi:10.1016/j.crma.2014.09.007

Abstract

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

2 pages