Results 91 to 100 of about 3,104 (212)
Nature Communications, 2020 Heart failure is a complex syndrome that is associated with many different underlying risk factors. Here, to increase power, the authors jointly analyse cases of heart failure of different aetiologies in a genome-wide association study and identify 11 ...
Sonia Shah +146 more
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$BV$ spaces and rectifiability for Carnot-Carathéodory metrics: an introduction [PDF]
, 2002 summary:This paper is meant as a (short and partial) introduction to the study of the geometry of Carnot groups and, more generally, of Carnot-Carathéodory spaces associated with a family of Lipschitz continuous vector fields.
Franchi, Bruno, Bruno Franchi
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Advanced Nonlinear StudiesOn general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
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A remark on quasiconformal mappings on Carnot groups.
Michigan Mathematical Journal, 1994 A. Koranyi and M. Reimann informed me that a result of theirs on the theory of quasiconformal mappings on the Heisenberg groups contradicted inequality (20.17) in my monograph [Strong rigidity of locally symmetric spaces, Ann. Math. Studies, No.
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Double ball property: an overview and the case of step two Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2012 We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov ...
Giulio Tralli
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The unlikely Carnot efficiency
, 2014 peer reviewedThe efficiency of an heat engine is traditionally defined as the ratio of its average output work over its average input heat. Its highest possible value was discovered by Carnot in 1824 and is a cornerstone concept in thermodynamics.
Van den Broeck, Christian +3 more
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A metric characterization of Carnot groups [PDF]
Proceedings of the American Mathematical Society, 2014 We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically homogeneous.
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A sufficient condition for nonrigidity of Carnot groups [PDF]
, 2018 In this article we consider contact mappings on Carnot groups. Namely, we are interested in those mappings whose differential preserves the horizontal space, defined by the first stratum of the natural stratification of the Lie algebra of a Carnot group.
Ottazzi, Alessandro
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Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
Electronic Journal of Differential Equations, 2016 In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
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