Ends of unimodular random manifolds

Biringer, Ian; Raimbault, Jean

doi:10.1090/proc/13531

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.

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