Brian E. Ray

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20112025

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math.GR2014

Spectral Rigidity and Subgroups of Free Groups

Brian Ray

A subset $Σ \subset F_{N}$ of the free group of rank $N$ is called \emph{spectrally rigid} if whenever trees $T, T^{'}$ in Culler-Vogtmann Outer Space are such that $\| g \|_T = \| g \|_…

math.GR2011

Non-Rigidity of Cyclic Automorphic Orbits in Free Groups

Brian Ray

We say a subset $Σ \subseteq F_{N}$ of the free group of rank $N$ is \emph{spectrally rigid} if whenever $T_1, T_2 \in \cv_N$ are $R$ -trees in (unprojectivized) outer space f…