Results 1 to 10 of about 217,811 (220)
European Journal of Inorganic Chemistry, Volume 28, Issue 8, March 13, 2025.Colloidal water‐soluble platinum nanoparticles have been synthesized using novel thiolated cyclodextrins as ligands. This system showed promising catalytic performance in biphasic hydrogenation of unsaturated carbon‐carbon and carbon‐oxygen bonds. Abstract In this study, water‐soluble colloidal platinum nanoparticles (Pt NPs) have been stabilized with ...
Nataliia Marchenko +9 more
wiley +1 more source
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
doaj +1 more source
A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds [PDF]
arXiv, 2010 We prove non local Hardy inequalities on Carnot groups and Riemannian manifolds, relying on integral representations of fractional Sobolev norms.
arxiv
Exceptional sets for self-similar fractals in Carnot groups [PDF]
, 2017 We consider self-similar iterated function systems in the sub-Riemannian setting of Carnot groups. We estimate the Hausdorff dimension of the exceptional set of translation parameters for which the Hausdorff dimension in terms of the Carnot-Carathéodory ...
BALOGH, ZOLTÁN M. +3 more
core
X-states from a finite geometric perspective
Results in Physics, 2021 It is found that 15 different types of two-qubit X-states split naturally into two sets (of cardinality 9 and 6) once their entanglement properties are taken into account.
Colm Kelleher +3 more
doaj
A primer on Carnot groups: homogenous groups, CC spaces, and regularity of their isometries [PDF]
arXiv, 2016 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance. We present the basic theory of Carnot groups together with several remarks.
arxiv
Differential forms in Carnot groups: a variational approach
Bruno Pini Mathematical Analysis Seminar, 2011 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
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
doaj
Existence of optimizers of the Stein-Weiss inequalities on Carnot groups [PDF]
arXiv, 2014 This paper proves existence of optimizers of the Stein-Weiss inequalities on Carnot groups under some conditions. The adjustment of Lions' concentration compactness principles to Carnot groups plays an important role in our proof. Unlike known treatment to the Hardy-Littlewood-Sobolev inequality on Heisenberg group, our arguments relate to the powers ...
arxiv
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
doaj