Length statistics of random multicurves on closed hyperbolic surfaces

HIGHLIGHTS

  • who: Groups Geom., Dyn. and Mingkun, Liu from the (UNIVERSITY) have published the article: Length statistics of random multicurves on closed hyperbolic surfaces, in the Journal: (JOURNAL)
  • what: The authors determine the distribution of these ratios of a random multicurve with a given topological type on a closed hyperbolic surface using the methods of Margulis` thesis and Mirzakhani`s equidistribution theorem for horospheres. The authors show that R. x1 / R.

SUMMARY

    Consider the uniform probability measure on this set, and the random variable that associates a multi-geodesic to its normalized . . .

     

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