Rigidity of joinings for time changes of unipotent flows on quotients of Lorentz groups

@article{Tang2021RigidityOJ,
  title={Rigidity of joinings for time changes of unipotent flows on quotients of Lorentz groups},
  author={Siyuan Tang},
  journal={Ergodic Theory and Dynamical Systems},
  year={2021}
}
  • Siyuan Tang
  • Published 7 July 2021
  • Mathematics
  • Ergodic Theory and Dynamical Systems
<jats:p>Let <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0143385722000839_inline1.png" /> <jats:tex-math>$u_{X}^{t}$</jats:tex-math> </jats:alternatives> </jats:inline-formula> be a unipotent flow on <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="png" xlink:href="S0143385722000839_inline2.png… 
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New time-changes of unipotent flows on quotients of Lorentz groups

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A main ingredient of the proof is a stronger version of the branching of the complementary series and a refinement of the works of Ratner and Flaminio–Forni is adequate for the purpose.

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