Results 31 to 40 of about 12,322,898 (284)
Blowups and blowdowns of geodesics in Carnot groups
43 pages, 2 figures, included versions of the main theorems for weak tangents, revised section 5.2, to appear in the Journal of Differential ...
Hakavuori, Eero, Le Donne, Enrico
openaire +2 more sources
To benefit from virtual reality (VR) as a complementary tool for training, coaches must determine the proper tools and variables for tracking sports performance. We explored the basketball shooting at several scales (basket‐ball, ball‐player, and player systems) by monitoring success‐rate, and ball and body kinematics.
Pooya Soltani, Antoine H. P. Morice
wiley +1 more source
Hilbert-Haar coordinates and Miranda's theorem in Lie groups
We study the interior regularity of solutions to a class of quasilinear equations of non-degenerate p-Laplacian type on Lie groups that admit a system of Hilbert-Haar coordinates. These are coordinates with respect to which every linear function has zero
András Domokos, Juan J. Manfredi
doaj +1 more source
Rigidity of 2-Step Carnot Groups [PDF]
Except for minor polishing this version is enriched with two appendices concerning pseudo H-type algebras with J^2-condition. In Appendix A we relate these algebras to division algebras and their split versions.
Mauricio Godoy Molina+3 more
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Nature and importance of follicular lymphoma precursors
It is now widely recognized that cancer development is a protracted process requiring the stepwise acquisition of multiple oncogenic events. In humans, this process can take decades, if not a lifetime, blurring the notion of ‘healthy’ individuals ...
Emilie Mamessier+6 more
doaj +1 more source
Invertible Carnot Groups [PDF]
Abstract We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
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Structure of porous sets in Carnot groups [PDF]
23 ...
Pinamonti A., Speight G.
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On Viscosity and Equivalent Notions of Solutions for Anisotropic Geometric Equations
We prove that viscosity solutions of geometric equations in step two Carnot groups can be equivalently reformulated by restricting the set of test functions at the singular points.
Cecilia De Zan, Pierpaolo Soravia
doaj +1 more source
Stochastic homogenization for functionals with anisotropic rescaling and non-coercive Hamilton-Jacobi equations [PDF]
We study the stochastic homogenization for a Cauchy problem for a first-order Hamilton-Jacobi equation whose operator is not coercive w.r.t. the gradient variable.
Dirr, Nicolas+3 more
core +4 more sources
Heat and entropy flows in Carnot groups [PDF]
We prove the correspondence between the solutions of the sub-elliptic heat equation in a Carnot group \mathbb G and the gradient flows of the relative entropy functional in the Wasserstein space of probability measures on \mathbb G ...
Ambrosio L., Stefani G.
openaire +3 more sources