2 9 Se p 20 08 Random Heegaard splittings

@inproceedings{Maher29S,
  title={2 9 Se p 20 08 Random Heegaard splittings},
  author={Joseph Maher}
}
Consider a random walk on the mapping class group, and let wn be the location of the random walk at time n. A random Heegaard splitting M (wn) is a 3-manifold obtained by using wn as the gluing map between two handlebodies. We show that the joint distribution of (wn, w −1 n) is asymptotically independent, and converges to the product of the harmonic and reflected harmonic measures defined by the random walk. We use this to show that the translation length of wn acting on the curve complex, and… CONTINUE READING

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References

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Showing 1-10 of 12 references

Kaimanovich and Howard Masur , The Poisson boundary of the mapping class group

  • A Vadim
  • Invent . Math .
  • 1996

Translated from the Russian by E . J . F . Primrose and revised by the author

  • Nikolai V. Ivanov
  • Subgroups of Teichmüller modular groups…
  • 1992

Kerckhoff , The measure of the limit set of the handlebody group ,

  • P. Steven
  • Topology
  • 1990

Casson - Gordon ’ s rectangle condition of Heegaard diagrams and incompressible tori in 3 - manifolds

  • Joseph Maher
  • Osaka J . Math .
  • 1988

Thurston , Three - dimensional manifolds , Kleinian groups and hyperbolic geometry , Bull

  • P. William
  • Amer . Math . Soc . ( N . S . )
  • 1982

Minsky , Geometry of the complex of curves

  • Howard A. Masur, N. Yair
  • Linear progress in the complex of curves

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