Results 81 to 90 of about 964 (155)
This article provides a comprehensive review of loss mechanisms in the generation stage of energy systems, covering fossil, nuclear, and renewable technologies. It examines their environmental and operational implications and shows how overlooking generation losses distorts efficiency assessments.
Pooya Parvizi +4 more
wiley +1 more source
Sharp measure contraction property for generalized H-type Carnot groups
International audienceWe prove that H-type Carnot groups of rank k and dimension n satisfy the MCP(K, N) if and only if K ≤ 0 and N ≥ k + 3(n − k). The latter integer coincides with the geodesic dimension of the Carnot group.
Rizzi, L. +7 more
core +1 more source
Differential forms in Carnot groups: a variational approach
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj
Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
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Multiscale phytoplankton dynamics in a coastal system of the eastern English Channel: the Boulogne-sur-Mer coastal area [PDF]
To study changes in phytoplankton community composition on different timescales, an automated flow cytometer (CytoSub, CytoBuoy b.v.) was deployed at the MAREL Carnot automated monitoring station in Boulogne-sur-Mer (eastern English Channel, France ...
K. Robache +15 more
doaj +1 more source
Lipschitz and bilipschitz maps on Carnot groups [PDF]
Suppose A is an open subset of a Carnot group G, where G has a discrete analogue, and H is another Carnot group. We show that a Lipschitz function from A to H whose image has positive Hausdorff measure in the appropriate dimension is biLipschitz on a subset of A of positive Hausdorff measure.
openaire +2 more sources
RUMIN'S COMPLEX AND INTRINSIC GRAPHS IN CARNOT GROUPS [PDF]
This thesis is concerned with some aspects of geometric analysis on Carnot groups. In the first chapter, we study differential forms and Rumin's complex on Carnot groups.
M. Marchi
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Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups
In this paper, we study the following Schrödinger–Hardy system \begin{equation*} \begin{cases} -\Delta_{\mathbb{G}}u-\mu\frac{\psi^2}{r(\xi)^2}u=F_u(\xi,u,v)\ &{\rm in}\ \Omega, \\ -\Delta_{\mathbb{G}}v-\nu\frac{\psi^2 }{r(\xi)^2}v=F_v(\xi,u,v)\
Wenjing Chen, Fang Yu
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Lusin approximation for horizontal curves in step 2 Carnot groups [PDF]
A Carnot group G admits Lusin approximation for horizontal curves if for any absolutely continuous horizontal curve γ in G and ε> 0 , there is a C1horizontal curve Γ such that Γ = γ and Γ′= γ′outside a set of measure at most ε.
Enrico Le Donne +3 more
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A remark on quasiconformal mappings on Carnot groups.
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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