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Showing 1 to 2 of 2 for “"Geodesic flow"”.
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Applications of dynamical systems to Farey sequences and continued fractions
… the ergodic properties of the horocycle flow 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 …
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Linear and non-linear collisionless many-particle systems
… trapping holds for the associated Hamiltonian flow. More precisely, we prove optimal decay estimates in space and time for small data solutions to the Vlasov--Poisson system with the unstable trapping potential $-\frac{|x|^2}{2}$, in dimension three or higher, through the use of a commuting …