9 citations · 15 across the 4 of their papers we have counts for
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3 papers · 1 filter
math.DS2017★ 2 cited
Equidistribution of Farey sequences on horospheres in covers of SL(n+1,Z)\SL(n+1,R) and applications
Byron Heersink
We establish the limiting distribution of certain subsets of Farey sequences, i.e., sequences of primitive rational points, on expanding horospheres in covers $Δ\backslash\mathrm{S…
math.OC2017★ 9 cited
Dynamic mode decomposition for interconnected control systems
Byron Heersink, Michael A. Warren, Heiko Hoffmann
Dynamic mode decomposition (DMD) is a data-driven technique used for capturing the dynamics of complex systems. DMD has been connected to spectral analysis of the Koopman operator,…
math.DS2017
Distribution of the periodic points of the Farey map
Byron Heersink
We expand the cross section of the geodesic flow in the tangent bundle of the modular surface given by Series to produce another section whose return map under the geodesic flow is…