9 citations · 56 across the 26 of their papers we have counts for
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math.GT2017
Local geometry of random geodesics on negatively curved surfaces
Jayadev S. Athreya, Steven P. Lalley, Jenya Sapir +1
It is shown that the tessellation of a compact, negatively curved surface induced by a typical long geodesic segment, when properly scaled, looks locally like a Poisson line proces…
math.GT2010★ 1 cited
Self-intersections in combinatorial topology: statistical structure
Moira Chas, Steven P. Lalley
Oriented closed curves on an orientable surface with boundary are described up to continuous deformation by reduced cyclic words in the generators of the fundamental group and thei…