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Ergodic and Mixing Properties of Horocycle Flows - Lecture 1

Ergodic and Mixing Properties of Horocycle Flows - Lecture 1

Simons Semester on Dynamics via YouTube Direct link

The Haar measure

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The Haar measure

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Ergodic and Mixing Properties of Horocycle Flows - Lecture 1

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  1. 1 Intro
  2. 2 Plan of the course
  3. 3 Plan for today
  4. 4 The group SL2(R)
  5. 5 Tangent spaces
  6. 6 Matrix exponential
  7. 7 The Haar measure
  8. 8 Adjoint and Lie brackets.
  9. 9 The Killing Form
  10. 10 Action of G on the hyperbolic plane

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