R. Vandervorst

most citedScalar parabolic PDE's and braids

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math.DS2004★ 1 cited

Scalar parabolic PDE's and braids

R. Ghrist, R. C. Vandervorst

The comparison principle for scalar second order parabolic PDEs on functions $u (t, x)$ admits a topological interpretation: pairs of solutions, $u^{1} (t, \cdot)$ and $u^{2} (t, \cdot)$ , ev…

math.DS2001

Morse theory on spaces of braids and Lagrangian dynamics

R. W. Ghrist, J. B. Van den Berg, R. C. Vandervorst

In the first half of the paper we construct a Morse-type theory on certain spaces of braid diagrams. We define a topological invariant of closed positive braids which is correlated…