70 citations · 316 across the 56 of their papers we have counts for
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math.DS2009
Braid Floer homology
J. -B. van den Berg, R. Ghrist, R. Vandervorst +1
Area-preserving diffeomorphisms of a 2-disc can be regarded as time-1 maps of (non-autonomous) Hamiltonian flows on solid tori, periodic flow-lines of which define braid (conjugacy…
math.MG2009
Total curvature and simple pursuit on domains of curvature bounded above
S. Alexander, R. Bishop, R. Ghrist
We show how circumradius and asymptotic behavior of curves in CAT(0) and CAT(K) spaces(K>0) are controlled by growth rates of total curvature. We apply our results to pursuit and e…
math.GN2009★ 29 cited
Euler integration over definable functions
Y. Baryshnikov, R. Ghrist
We extend the theory of Euler integration from the class of constructible functions to that of "tame" real-valued functions (definable with respect to an o-minimal structure). The…