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- W2061174814 abstract "A closed geodesic on the modular surface gives rise to a knot on the 3-sphere with a trefoil knot removed, and one can compute the linking number of such a knot with the trefoil knot. We show that, when ordered by their length, the set of closed geodesics having a prescribed linking number become equidistributed on average with respect to the Liouville measure. We show this by using the thermodynamic formalism to prove an equidistribution result for a corresponding set of quadratic irrationals on the unit interval." @default.
- W2061174814 created "2016-06-24" @default.
- W2061174814 creator A5065344160 @default.
- W2061174814 date "2012-05-10" @default.
- W2061174814 modified "2023-10-16" @default.
- W2061174814 title "Quadratic irrationals and linking numbers of modular knots" @default.
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- W2061174814 hasPublicationYear "2012" @default.
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