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searching for Gromov boundary 4 found (11 total)

Poisson boundary (2,325 words) [view diff] exact match in snippet view article find links to article

first moment be finite) the Poisson boundary is always equal to the Gromov boundary when equipped with the hitting probability measure. For example, the

Hyperfinite equivalence relation (1,671 words) [view diff] exact match in snippet view article find links to article

relation. The action of a finitely-generated hyperbolic group on its Gromov boundary is hyperfinite. Any countable Borel equivalence relation can be restricted

Hyperbolic metric space (3,116 words) [view diff] exact match in snippet view article find links to article

2 {\displaystyle ds^{2}={4|dz|^{2} \over (1-|z|^{2})^{2}}} and the Gromov boundary can be identified with the unit circle. The boundary of n {\displaystyle

Busemann function (12,928 words) [view diff] exact match in snippet view article find links to article

CAT(-1) and hyperbolic spaces, there is a metric structure on their Gromov boundary. This structure is preserved by the group of quasi-isometries which