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searching for Horocycle 4 found (31 total)

alternate case: horocycle

John Smillie (mathematician) (867 words) [view diff] exact match in snippet view article

2577 [math.DS]. Bainbridge, Matt; Smillie, John; Weiss, Barak (2016). "Horocycle dynamics: New invariants and eigenform loci in the stratum H(1,1)". arXiv:1603

Hillel Furstenberg (1,461 words) [view diff] exact match in snippet view article find links to article

arbitrary large arithmetic progressions. He proved unique ergodicity of horocycle flows on compact hyperbolic Riemann surfaces in the early 1970s. The Furstenberg

Ergodic theory (3,727 words) [view diff] exact match in snippet view article find links to article

typical of rigidity theory. In the 1930s G. A. Hedlund proved that the horocycle flow on a compact hyperbolic surface is minimal and ergodic. Unique ergodicity

Descartes' theorem (6,368 words) [view diff] exact match in snippet view article find links to article

tangent configurations in hyperbolic geometry including hypercycles and horocycles, if k j {\displaystyle k_{j}} is the geodesic curvature of the cycle relative