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Pré-Publication, Document De Travail Année : 2024

On rigidity properties of time-changes of unipotent flows

Mauro Artigiani
  • Fonction : Auteur
Livio Flaminio
Davide Ravotti
  • Fonction : Auteur

Résumé

We study time-changes of unipotent flows on finite volume quotients of semisimple linear groups, generalising previous work by Ratner on time-changes of horocycle flows. Any measurable isomorphism between time-changes of unipotent flows gives rise to a non-trivial joining supported on its graph. Under a spectral gap assumption on the groups, we show the following rigidity result: either the only limit point of this graph joining under the action of a one-parameter renormalising subgroup is the trivial joining, or the isomorphism is "affine", namely it is obtained composing an algebraic isomorphism with a (non-constant) translation along the centraliser.

Dates et versions

hal-04404263 , version 1 (18-01-2024)

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Citer

Mauro Artigiani, Livio Flaminio, Davide Ravotti. On rigidity properties of time-changes of unipotent flows. 2024. ⟨hal-04404263⟩
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