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9 papers
Some examples of first exit times
Jesús Antonio Álvarez López, Alberto Candel
The purpose of this article is to compute the expected first exit times of Brownian motion from a variety of domains in the Euclidean plane and in the hyperbolic plane.
Non-reduction of relations in the Gromov space to Polish actions
Jesús A. Álvarez López, Alberto Candel
It is shown that, in the Gromov space of isometry classes of pointed proper metric spaces, the equivalence relations defined by existence of coarse quasi-isometries or being at fin…
A universal Riemannian foliated space
Jesús A. Álvarez López, Ramón Barral Lijó, Alberto Candel
It is proved that the isometry classes of pointed connected complete Riemannian -manifolds form a Polish space, , with the topology described by the $C^…
Generic coarse geometry of leaves
Jesús A. Álvarez López, Alberto Candel
A compact Polish foliated space is considered. Part of this work studies coarsely quasi-isometric invariants of leaves in some residual saturated subset when the foliated space is…
Topological description of Riemannian foliations with dense leaves
Jesús A. Álvarez López, Alberto Candel
A transitive compact foliated space is shown to be a Riemannian foliation if and only if it is locally connected, finite dimensional, strongly equicontinuous and quasi-analytic, an…
Equicontinuous foliated spaces
Jesús A. Álvarez López, Alberto Candel
Some properties of Riemannian foliations on closed manifolds are generalized to compact equicontinuous foliated spaces. For instance, it is proved that all holonomy covers of the l…