Results 1 to 10 of about 2,760 (185)
A Cornucopia of Carnot Groups in Low Dimensions [PDF]
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
doaj +2 more sources
Computational Experiments Probing the Adaptability of the [NCCH<sub>2</sub>]<sup>-</sup> Electronic Structure to Various Bonding Environments. [PDF]
ChemphyschemMetalated nitriles are organometallic chameleons in solution, existing as a structural duality of N‐ and C‐metalated species exhibiting specific reactivities. With density functional theory (DFT) calculations and natural bond orbital analyses, it is explored how the metal nature (Li, Na, K, Cs, Cu(I)) and the chemical environment (ligand, solvation ...
Rio J, Brière JF, Gérard H.
europepmc +2 more sources
Jean-Marie Souriau’s Symplectic Foliation Model of Sadi Carnot’s Thermodynamics [PDF]
EntropyThe explanation of thermodynamics through geometric models was initiated by seminal figures such as Carnot, Gibbs, Duhem, Reeb, and Carathéodory. Only recently, however, has the symplectic foliation model, introduced within the domain of geometric ...
Frédéric Barbaresco
doaj +2 more sources
AIMS Mathematics, 2023 For some class of 2-step Carnot groups $ D_n $ with 1-dimensional centre we find the exact values of the constants in $ (1, q_2) $-generalized triangle inequality for their $ \text{Box} $-quasimetrics $ \rho_{\text{Box}_{D_n}} $. Using this result we get
Alexander Greshnov, Vladimir Potapov
doaj +1 more source
Hilbert-Haar coordinates and Miranda's theorem in Lie groups
Bruno Pini Mathematical Analysis Seminar, 2020 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
Nature and importance of follicular lymphoma precursors
Haematologica, 2014 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
DFT screening of adsorption of biodiesel molecules on aluminum and stainless steel surfaces
Results in Surfaces and Interfaces, 2022 We present a Density Functional Theory (DFT) study of the adsorption of small organic molecules, taken as models of biodiesel autoxidation products, on stainless steel and aluminum surfaces.
Claudia Cantarelli +4 more
doaj +1 more source
On Viscosity and Equivalent Notions of Solutions for Anisotropic Geometric Equations
Abstract and Applied Analysis, 2020 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
Nonexistence Results for Semilinear Equations in Carnot Groups
Analysis and Geometry in Metric Spaces, 2013 In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
doaj +1 more source
Laser-induced thermoelectric effects in electrically biased nanoscale constrictions
Nanophotonics, 2018 Electrically biased metal nanostructures are at the core of innovative multifunctional integrated devices that control the flow of electrons and photons at the nanoscale.
Mennemanteuil Marie-Maxime +6 more
doaj +1 more source