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Results tagged with geometric-group-theory
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user 182955
Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations
4
votes
1
answer
153
views
Are geometric actions on CAT(0) spaces with isolated flats minimal on the boundary?
Suppose $X$ is a $CAT(0)$ space with isolated flats, $\partial X$ its visual boundary and $G$ acts properly discontinuously amd cocompactly on $X$. Must the $G$ action on $\partial X$ have a dense orb …
- 481
7
votes
1
answer
257
views
Uniqueness of stationary measures for $(G,\mu)$ boundaries
Let $G$ be a countable group acting minimally by homeomorphisms on a compact Hausdorff space $X$ and $\mu$ be a probability measure on $G$ whose support generates $G$ as a semigroup.
Let $\nu$ is a $\ …
- 481
5
votes
0
answers
152
views
Are there examples of hyperbolic manifolds with finite Bowen-Margulis measure and fundamenta...
It is well known that a geometrically finite hyperbolic manifold (quotient of $H^n$) has finite Bowen-Margulis measure.
Marc Peigné [1] constructed examples of geometrically infinite hyperbolic manifo …
- 481