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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…
math.GT2010★ 1 cited
Self-intersections are empirically Gaussian
Moira Chas
In an orientable surface with boundary, free homotopy classes of curves on surfaces are in one to one correspondence with cyclic reduced words in a set of standard generators of th…