538 citations
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Showing 2012Show all
3 papers · 1 filter
math.DG2012★ 2 cited
Symmetric Criticality for Tight Knots
Jason Cantarella, Jennifer Ellis, Joseph H. G. Fu +1
We prove a version of symmetric criticality for ropelength-critical knots. Our theorem implies that a knot or link with a symmetric representative has a ropelength-critical configu…
math.AT2012
Finite random coverings of one-complexes and the Euler characteristic
Rafal Komendarczyk, Jeffrey Pullen
This article presents an algebraic topology perspective on the problem of finding a complete coverage probability of a one dimensional domain by a random covering, and develops…
physics.data-an2012★ 22 cited
Prediction of Catastrophes: an experimental model
Randall D. Peters, Martine Le Berre, Yves Pomeau
Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to t…