1 citations · 1 across the 3 of their papers we have counts for
4 papers
Impossible configurations for geodesics on negatively-curved surfaces
Anthony Phillips
Hass and Scott's example of a 4-valent graph on the 3-punctured sphere that cannot be realized by geodesics in any metric of negative curvature is generalized to impossible configu…
Almost simple geodesics on the triply punctured sphere
Moira Chas, Curtis T. McMullen, Anthony Phillips
Every closed hyperbolic geodesic on the triply--punctured sphere has a self--intersection number and a combinatorial leng…
Self-intersection numbers of curves in the doubly-punctured plane
Moira Chas, Anthony Phillips
We address the problem of computing bounds for the self-intersection number (the minimum number of self-intersection points) of members of a free homotopy class of curves in the do…
Self-intersection numbers of curves on the punctured torus
Moira Chas, Anthony Phillips
The minimum number of self-intersection points for members of a free homotopy class of curves on the punctured torus is bounded above in terms of the number L of letters required f…