2 citations · 2 across the 4 of their papers we have counts for
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Outer billiards outside regular decagon: periodicity of almost all orbits and existence of an aperiodic point
Filipp Rukhovich
The existence of an aperiodic orbit for an outer billiard outside a regular octagon is proved. Additionally, almost all orbits of such an outer billiard are proved to be periodic.…
Outer billiards outside regular dodecagon: computer proof of periodicity of almost all orbits and existence of an aperiodic point
Filipp Rukhovich
An existence of an aperiodic point for outer billiard outside regular dodecagon is proved. Additionally, almost all orbits of such an outer billiard are proved to be periodic, and…
Outer billiards outside regular octagon: set of full measure and an aperiodic point
Filipp Rukhovich
In this paper, outer billiards outside regular octagon are studied in details. We described all periodic points and their periods; also, we proved that the periodic points form a s…
Outer billiards
Filipp Rukhovich
In this paper outer, or dual, billiards outside regular polygons are studied; in particular, periodic points for cases of strictly convex "tables" and for regular n-gons with n = 3…