Curve cuspless reconstruction via sub-Riemannian geometry [PDF]
Ugo Boscain +3 more
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Geometry of sub-Riemannian diffusion processes
Sub-Riemannian geometry is the natural setting for studying dynamical systems, as noise often has a lower dimension than the dynamics it enters. This makes sub-Riemannian geometry an important field of study. In this thesis, we analysis some of the aspects of sub-Riemannian diffusion processes on manifolds.
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Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]
Feng Q, Li W.
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Interpolation inequalities and spectral geometry on sub-Riemannian structures
Luca Rizzi
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Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
F. Jean
semanticscholar +1 more source
Universality in long-distance geometry and quantum complexity. [PDF]
Brown AR +3 more
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Connections and Curvature in sub-Riemannian geometry
For a subRiemannian manifold and a given Riemannian extension of the metric, we define a canonical global connection. This connection coincides with both the Levi-Civita connection on Riemannian manifolds and the Tanaka-Webster connection on strictly pseudoconvex CR manifolds.
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Viscosity solutions to the ∞-Laplace equation in Grushin-type spaces
In this paper, we prove the existence and uniqueness of viscosity solutions to the infinite Laplace equation in Grushin-type spaces whose tangent spaces consist of arbitrary triangular vector fields.
Thomas Bieske, Zachary Forrest
doaj
Riemannian diffusion kernel-smoothed continuous structural connectivity on cortical surface. [PDF]
Wang L, Li D, Zhang Z.
europepmc +1 more source
Sub-Riemannian geometry and time optimal control of three spin systems: Quantum gates and coherence transfer [PDF]
Navin Khaneja +2 more
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