# Markov chains on hyperbolic-like groups and quasi-isometries

@inproceedings{Goldsborough2021MarkovCO, title={Markov chains on hyperbolic-like groups and quasi-isometries}, author={Antoine Goldsborough and Alessandro Sisto}, year={2021} }

We propose the study of Markov chains on groups as a “quasi-isometry invariant” theory that encompasses random walks. In particular, we focus on certain classes of groups acting on hyperbolic spaces including (non-elementary) hyperbolic and relatively hyperbolic groups, acylindrically hyperbolic 3-manifold groups, as well as fundamental groups of certain graphs of groups with edge groups of subexponential growth. For those, we prove a linear progress result and various applications, and these…

## One Citation

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