Results 41 to 50 of about 3,104 (212)
BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups
Analysis and Geometry in Metric Spaces, 2015 Let f : G → H be a Lipschitz map between two Carnot groups. We show that if B is a ball of G, then there exists a subset Z ⊂ B, whose image in H under f has small Hausdorff content, such that B\Z can be decomposed into a controlled number of pieces, the ...
Li Sean
doaj +1 more source
On the Lie Algebra of polarizable Carnot groups [PDF]
Analysis and Mathematical Physics, 2020 Let \(G\) be a Carnot group equipped with a left-invariant sub-Riemannian metric, induced by an inner product \(\langle \cdot, \cdot \rangle\) on the first layer of its Lie algebra \(\mathfrak{g}\). The metric induces a family of \(p\)-sub-Laplacians \(\Delta_p\) on \(G\), where \(\Delta_2\) is the usual sub-Laplacian. Following [\textit{Z. M.
openaire +2 more sources
Nonlocal diffusion equations in Carnot groups
Rendiconti del Circolo Matematico di Palermo Series 2, 2022 20 ...
Isolda E. Cardoso, Raúl E. Vidal
openaire +2 more sources
Analysis and Geometry in Metric Spaces, 2014 Abstract We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
openaire +4 more sources
Sharp Hardy Identities and Inequalities on Carnot Groups
Advanced Nonlinear Studies, 2021 In this paper we establish general weighted Hardy identities for several subelliptic settings including Hardy identities on the Heisenberg group, Carnot groups with respect to a homogeneous gauge and Carnot–Carathéodory metric, general nilpotent groups ...
Flynn Joshua, Lam Nguyen, Lu Guozhen
doaj +1 more source
Intrinsic Lipschitz Graphs Within Carnot Groups [PDF]
, 2016 A Carnot group is a connected, simply connected, nilpotent Lie group with stratified Lie algebra. We study the notions of intrinsic graphs and of intrinsic Lipschitz graphs within Carnot groups.
Serapioni, Raul Paolo, FRANCHI, BRUNO
core +1 more source
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 +1 more source
Embedded Direct‐Written Organic Micro‐TEGs for High‐Efficiency Skin‐Heat Harvesting
Advanced Electronic Materials, EarlyView.A finite‐element–guided design of direct‐written organic micro‐thermoelectric generators is presented for efficient skin‐heat harvesting. Embedding PEDOT:PSS/PBFDO thermoelectric legs within flexible substrates suppresses interfacial heat losses and enhances vertical heat flow.
Milad Jabri +4 more
wiley +1 more source
Alkene Hydrogenation by a Cationic, Nine‐Coordinate Molybdenum(VI) Pentahydride Catalyst
Chemistry – A European Journal, EarlyView.While late 3d metals dominate efforts to replace precious metals in homogeneous hydrogenation, molybdenum has remained largely ignored. This work reveals that a nine‐coordinate pentahydrido molybdenum complex can hydrogenate a broad range of alkenes efficiently, demonstrating that early‐metal polyhydrides can serve as genuine catalysts rather than mere
Arno Estival +9 more
wiley +1 more source