Results 181 to 190 of about 33,123 (219)
Rapid fluctuations in functional connectivity of cortical networks encode spontaneous behavior. [PDF]
Benisty H+9 more
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A psychophysically-tuned computational model of human primary visual cortex produces geometric optical illusions. [PDF]
Retsa C+5 more
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ABNORMAL SUBANALYTIC DISTRIBUTIONS IN SUB-RIEMANNIAN GEOMETRY
Ludovic Rifford+2 more
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Optimal control theory, sub-Riemannian geometry and swimming of copepod
Piernicola Bettiol+3 more
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Chaos in Stochastic 2d Galerkin-Navier-Stokes. [PDF]
Bedrossian J, Punshon-Smith S.
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Topics in sub-Riemannian geometry
Russian Mathematical Surveys, 2016Subriemannian geometry is geometry of the spaces with nonholonomic constraints. In this paper, we give an informal survey of some topics from the subject starting from the construction of geodesic lines and arriving to the recent definition of the curvature.
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The tangent space in sub-Riemannian geometry
Journal of Mathematical Sciences, 1994Tangent spaces of a sub-Riemannian manifold are themselves sub-Riemannian manifolds. They can be defined as metric spaces, using Gromov’s definition of tangent spaces to a metric space, and they turn out to be sub-Riemannian manifolds. Moreover, they come with an algebraic structure: nilpotent Lie groups with dilations.
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Geometry, Analysis and Dynamics on sub-Riemannian Manifolds
2016These lectures focus on some probabilistic aspects related to sub-Riemannian geometry. The main intention is to give an introduction to hypoelliptic and subelliptic diffusions. The notes are written from a geometric point of view trying to minimize the weight of “probabilistic baggage” necessary to follow the arguments.
Andrei A. Agrachev+3 more
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Volumes in Sub-Riemannian Geometry
2019In this chapter we investigate the notion of the intrinsic volume in sub-Riemannian geometry in the case of "equiregular" structures. In particular we consider the Popp and the Hausdorff volumes. On
Ugo Boscain+2 more
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