Properties of sets of isometries of Gromov hyperbolic spaces
Properties of sets of isometries of Gromov hyperbolic spaces
We prove an inequality concerning isometries of a Gromov hyperbolic metric space, which does not require the space to be proper or geodesic. It involves the joint stable length, a hyperbolic version of the joint spectral radius, and shows that sets of isometries behave like sets of 2 \times 2 …