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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
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Sharp measure contraction property for generalized H-type Carnot groups [PDF]
, 2017 We prove that H-type Carnot groups of rank $k$ and dimension $n$ satisfy the $\mathrm{MCP}(K,N)$ if and only if $K\leq 0$ and $N \geq k+3(n-k)$. The latter integer coincides with the geodesic dimension of the Carnot group.
Bonfiglioli A. +4 more
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Hardy-Type Inequalities for the Carnot–Carathéodory Distance in the Heisenberg Group [PDF]
Journal of Geometric Analysis, 2020 In this paper we study Hardy inequalities in the Heisenberg group $${\mathbb {H}}^n$$ H n , with respect to the Carnot–Carathéodory distance $$\delta $$ δ from the origin.
Valentina Franceschi, Dario Prandi
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Review of Carnot Battery Technology Commercial Development
Energies, 2022 Carnot batteries are a quickly developing group of technologies for medium and long duration electricity storage. It covers a large range of concepts which share processes of a conversion of power to heat, thermal energy storage (i.e., storing thermal ...
Vaclav Novotny +3 more
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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
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Attainable Set for Rank 3 Step 2 Free Carnot Group with Positive Controls [PDF]
2022 16th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference), 2022 We find the attainable set for a control system on the free Carnot group of rank 3 and step 2 with positive controls. This kind of control systems is connected with the theory of free Lie semigroups; with some estimates for probabilities of inequalities ...
A. Podobryaev
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On coincidence of p-module of a family of curves and p-capacity on the Carnot group
, 2003 I. Markina
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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
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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
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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
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