Ergodic cocycles satisfying asymptotic past and future independence converge to the Gromov boundary and have positive drift when integrable.
Patterson-Sullivan theory for groups with a strongly contracting element
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Using Patterson-Sullivan measures we investigate growth problems for groups acting on a metric space with a strongly contracting element.
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Ergodic cocycles in hyperbolic and Hadamard spaces
Ergodic cocycles satisfying asymptotic past and future independence converge to the Gromov boundary and have positive drift when integrable.