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Vortex pairs on surfaces
(Amer Inst Physics, 2009)
A pair of infinitesimally close opposite vortices moving on a curved surface moves along a geodesic, according to a conjecture by Kimura. We outline a proof. Numerical simulations are presented for a pair of opposite ...
Perfectly random sampling of truncated multinormal distributions
(Applied Probability Trust, 2007-12)
The target measure mu is the distribution of a random vector in a box B, a Cartesian product of bounded intervals. The Gibbs sampler is a Markov chain with invariant measure mu. A 'coupling from the past' construction of ...
Rubber rolling over a sphere
(Maik Nauka/Interperiodica/Springer, 2007-04)
Rubber coated bodies rolling over a surface satisfy a no-twist condition in addition to the no slip condition satisfied by 'marble' coated bodies [1]. Rubber rolling has an interesting differential geometric appeal because ...
Evolution of an extremum by curvature motion
(Academic Press Inc., 2004)
In this paper we consider the evolution of an isolated extremum of a function under the curvature motion in the plane. We define different notions of circular extrema and show that, immediately after the motion begins, the ...
Self-propulsion of N-hinged 'Animats' at low Reynolds number
(2003)
Optimal locomotion of micro-organisms (on a small Reynolds number flow) can be regarded as a sub-riemannian geometry on a principal bundle with a mechanical connection. Aiming at robotic applications, flagella are modeled ...
