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Averaging of incompressible flows on two-dimensional surfaces
Averaging Markov Process Incompressible Flow Gluing Conditions Diffusion on a Graph
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2015/9/25
We consider a process on a compact two-dimensional surface which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise t...
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
almost-Riemannian geometry conjugate and cut loci
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2010/12/6
We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Rieman-nian geometry. We compute estimations of the exponential map wh...
Darboux transformations for two dimensional elliptic affine Toda equations
dimensional elliptic affine Toda equations Darboux transformation
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2010/4/7
The Darboux transformations for the two dimensional elliptic affine Toda equations corresponding to all seven infinite series of affine Kac-Moody algebras, including $A_l^{(1)}$, $A_{2l}^{(2)}$, $A_{2...