Results 21 to 30 of about 3,104 (212)
Notions of Convexity in Carnot Groups [PDF]
Communications in Analysis and Geometry, 2003 The aim of this interesting paper is to study appropriate notions of convexity in the setting of Carnot groups \(G\). First, the notion of strong \(H\)-convexity is examined. Some arguments showing that the concept is to restrictive are presented. Then the notion of weakly \(H\)-convex functions is defined.
DANIELLI D. +2 more
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Beating Carnot efficiency with periodically driven chiral conductors
, 2021 Classically, the power generated by an ideal thermal machine cannot be larger than the Carnot limit. This profound result is rooted in the second law of thermodynamics.
Sanchez, David +3 more
core +1 more source
Bioconjugation Strategies for Revealing the Roles of Glycerophospholipids in Cells. [PDF]
ChembiochemGlycerophospholipids are the main class of phospholipids, essential for membrane structure, compartmentalization, and cellular signaling. To study their roles, innovative probes and advanced bioconjugation strategies have been developed, including by de novo lipid synthesis and bioorthogonal conjugation chemistry.
Beauvais B +5 more
europepmc +2 more sources
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
The Traveling Salesman Theorem in Carnot groups [PDF]
Calculus of Variations and Partial Differential Equations, 2018 Let $\mathbb{G}$ be any Carnot group. We prove that, if a subset of $\mathbb{G}$ is contained in a rectifiable curve, then it satisfies Peter Jones' geometric lemma with some natural modifications. We thus prove one direction of the Traveling Salesman Theorem in $\mathbb{G}$.
Chousionis, Vasilis +2 more
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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
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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Structure of porous sets in Carnot groups [PDF]
Illinois Journal of Mathematics, 2017 We show that any Carnot group contains a closed nowhere dense set which has measure zero but is not $σ$-porous with respect to the Carnot-Carathéodory (CC) distance. In the first Heisenberg group we observe that there exist sets which are porous with respect to the CC distance but not the Euclidean distance and vice-versa.
Pinamonti A., Speight G.
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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
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<i>CEBP</i> and <i>ZEB2</i> alterations define three distinct subtypes of B-cell acute lymphoblastic leukemia. [PDF]
HemasphereAbstract B‐cell acute lymphoblastic leukemia (B‐ALL) is a heterogeneous malignancy driven by diverse genetic alterations. Among these, CEBP family genes and ZEB2 are recurrently involved, yet the spectrum of genomic mechanisms and their clinical impact remain incompletely defined.
Kim R +29 more
europepmc +2 more sources