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Showing 1 to 1 of 1 for “"Farey map"”.
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Applications of dynamical systems to Farey sequences and continued fractions
… in SL(2,R) to study the spacing statistics of Farey fractions. For a given finite index subgroup H ⊆ SL(2,Z), we use a process developed by Fisher and Schmidt to lift a cross section of the horocycle flow on SL(2,R)/SL(2,Z) found by Athreya and Cheung to the finite cover SL(2,R)/H of …