Rigidity of measures invariant under semisimple groups in positive characteristic

Manfred Einsiedler; Anish Ghosh

doi:10.1112/plms/pdp029

Rigidity of measures invariant under semisimple groups in positive characteristic

Manfred Einsiedler
, Anish Ghosh

Research output: Contribution to journal › Article

7 Citations (Scopus)

Abstract

M. Ratner has conjectured a positive characteristic version of her seminal results classifying orbit closures and invariant measures of unipotent flows on homogeneous spaces. In this paper, we provide a partial answer by establishing a positive characteristic version of her classification result for measures invariant under semisimple groups.

Original language	English
Pages (from-to)	249-268
Number of pages	20
Journal	Proceedings of the London Mathematical Society
Volume	100
Issue number	1
DOIs	https://doi.org/10.1112/plms/pdp029
Publication status	Published - 2010

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10.1112/plms/pdp029

Cite this

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title = "Rigidity of measures invariant under semisimple groups in positive characteristic",

abstract = "M. Ratner has conjectured a positive characteristic version of her seminal results classifying orbit closures and invariant measures of unipotent flows on homogeneous spaces. In this paper, we provide a partial answer by establishing a positive characteristic version of her classification result for measures invariant under semisimple groups.",

author = "Manfred Einsiedler and Anish Ghosh",

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language = "English",

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journal = "Proceedings of the London Mathematical Society",

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AU - Ghosh, Anish

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AB - M. Ratner has conjectured a positive characteristic version of her seminal results classifying orbit closures and invariant measures of unipotent flows on homogeneous spaces. In this paper, we provide a partial answer by establishing a positive characteristic version of her classification result for measures invariant under semisimple groups.

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DO - 10.1112/plms/pdp029

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EP - 268

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

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