Ends of unimodular random manifolds
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- by Ian Biringer and Jean Raimbault PDF
- Proc. Amer. Math. Soc. 145 (2017), 4021-4029 Request permission
Abstract:
We describe the space of ends of a unimodular random manifold, a random object that generalizes finite volume manifolds, random leaves of measured foliations and invariant random subgroups of isometry groups of Riemannian manifolds. As an application, we give a quick proof of a variant of a theorem of E. Ghys (1995) on the topology of random leaves.References
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Additional Information
- Ian Biringer
- Affiliation: Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467
- Email: biringer@bc.edu
- Jean Raimbault
- Affiliation: Institut de mathématiques de Toulouse, Université Paul Sabatier, F-31062 Toulouse Cedex 9, France
- MR Author ID: 951452
- Email: Jean.Raimbault@math.univ-toulouse.fr
- Received by editor(s): July 5, 2016
- Received by editor(s) in revised form: September 26, 2016, and September 28, 2016
- Published electronically: March 23, 2017
- Communicated by: David Futer
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4021-4029
- MSC (2010): Primary 53C99
- DOI: https://doi.org/10.1090/proc/13531
- MathSciNet review: 3665053