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Convergence of scalar-flat metrics on manifolds with boundary under the Yamabe flow
Convergence of scalar-flat metrics manifolds boundary under the Yamabe flow Differential Geometry
2012/6/6
This paper is concerned with a Yamabe-type flow for compact Riemannian manifolds with boundary. The convergence of this flow is established if the manifold with boundary satisfies either a generic con...
Convergence of distributed asynchronous learning vector quantization algorithms
Convergence of distributed asynchronous vector quantization algorithms
2010/12/31
Motivated by the problem of effectively executing clustering algo-rithms on very large data sets, we address a model for large scale dis-tributed clustering methods.
Exponential convergence to equilibrium for kinetic Fokker-Planck equations on Riemannian manifolds
kinetic Fokker-Planck equations Riemannian manifolds
2010/9/1
A class of linear kinetic Fokker-Planck equations with a non-trivial dif-fusion matrix and with periodic boundary conditions in the spatial vari-able is considered. After formulating the problem in a ...