I just got an email that my paper was accepted to Acta Sci Math (Szeged), after not even making it to a reviewer in two other journals.

Here is the review of my paper:

The research of this paper began in this Acta by a famous result of Fáry on estimating the length of a curve by its total curvature.

Its actual result is an upper estimate of the difference of lengths of curves by their total curvatures and Fréchet distance. This upper bound is a huge improvement over a recent result of Cohen-Steiner and Edelsbrunner in the sense that it does not depend on the dimension, although it becomes better than its predecessor only for dimensions more than $6$. Surprisingly, the clear and clever proof eventually uses the original result in dimension $3$ and in fact gives a general method to eliminate the dimensions from such estimates.

Although it could be shortened, the paper is well written and the only two things I would ask for is to completely ignore the very detailed, but obvious calculation of $r(n)$ in the introduction and to give a bit more emphasis on the observation proved in the first paragraph of the subsection of “Fréchet distance in the limit”.

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September 16 2010 at 12:47 pm |

YAY Brit! Congratulations! I am so so proud of you! Although the content is WAY over my head – I can’t wait to read it!

Love You!

Mom

September 16 2010 at 6:05 pm |

WOOT WOOT!!! GO B-CHICKEN!! Changing the world, one Frechet distance at a time…

October 4 2011 at 8:18 am |

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