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Sub-Riemannian Geometry and Subelliptic PDEs
2003Ishall discuss the connection between complex Hamiltonian mechanics and sub-Riemannian geometry on the Heisenberg group. Using these geometric concepts I shall describe the subelliptic heat kernel and its small time asymptotics. To extend this work to higher step operators I shall apply some of these concepts to a particular step 3 example.
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Sub-Riemannian Geometry and Optimal Transport
2014The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notion of distribution at the very beginning to the ...
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Riemannian geometry in thermodynamic fluctuation theory
Reviews of Modern Physics, 1995George Ruppeiner
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Riemannian geometry for EEG-based brain-computer interfaces; a primer and a review
Brain-Computer Interfaces, 2017Marco Congedo +2 more
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Existence of isoperimetric regions in contact sub-Riemannian manifolds
Journal of Mathematical Analysis and Applications, 2013Matteo Galli, Manuel Ritoré
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Sub-Riemannian and sub-Lorentzian geometry on $SU(1,1)$ and on its universal cover
Journal of Geometric Mechanics, 2011Erlend Grong
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Multiclass Brain–Computer Interface Classification by Riemannian Geometry
IEEE Transactions on Biomedical Engineering, 2012Alexandre Barachant +2 more
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Sub-Riemannian structures on 3D lie groups
Journal of Dynamical and Control Systems, 2012Davide Barilari
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