39 citations · 118 across the 37 of their papers we have counts for
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math.PR2015
Generalized stochastic Lagrangian paths for the Navier-Stokes equation
Marc Arnaudon, Ana Bela Cruzeiro, Shizan Fang
In the note added in proof of the seminal paper [Groups of diffeomorphisms andthe motion of an incompressible fluid, Ann. of Math. 92 (1970), 102-163], Ebinand Marsden introduced t…
math.DG2015
Reparameterization invariant metric on the space of curves
Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
This paper focuses on the study of open curves in a manifold M, and proposes a reparameterization invariant metric on the space of such paths. We use the square root velocity funct…