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Scientific article
English

Patterson-Sullivan measures in higher rank symmetric spaces. Mesures de Patterson-Sullivan dans les espaces symétriques

Contributors

Albuquerque, Paul Mario

Published in

Comptes rendus. Mathématique, vol. 324, no. 4, p. 427-432

Publication date

1997

Abstract

Let X = G/K be a symmetric space of noncompact type, F a Zariski-dense subgroup of G with critical exponent 3(F). We show that all F-invariant conformal densities of dimension 6(F) (e.g. Patterson-Sullivan densities) have their support contained in a same and single G-orbit on the geometric boundary of X. In the lattice case, we explicitly determine 6(F) and this G-orbit, and we establish the uniqueness of such densities.

UNIGE affiliation entities

Citation (ISO format)

ALBUQUERQUE, Paul Mario. Patterson-Sullivan measures in higher rank symmetric spaces. Mesures de Patterson-Sullivan dans les espaces symétriques. In: Comptes rendus. Mathématique, 1997, vol. 324, n° 4, p. 427–432. doi: 10.1016/S0764-4442(97)80080-8

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Article (Published version)

Identifiers

Additional URL for this publication

http://linkinghub.elsevier.com/retrieve/pii/S0764444297800808

Journal ISSN

1631-073X
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Technical informations

Creation

01/12/2010 11:33:00

First validation

01/12/2010 11:33:00

Update

14/03/2023 16:10:07

Status update

14/03/2023 16:10:07

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