Results 51 to 60 of about 2,812 (235)
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
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Ricci curvatures in Carnot groups
Mathematical Control & Related Fields, 2013 29 pages, 1 ...
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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 $\mathbb{G}$.
Sean Li +2 more
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Revista Matemática Iberoamericana, 2023 Jet spaces over \mathbb{R}^n have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups adapted to horizontal differentiation and show that these jet spaces are themselves stratified Lie groups.
Warhurst +2 more
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Bio‐Friendly Artificial Muscles Based on Carbon Nanotube Yarns and Eutectogel Derivatives
Advanced Functional Materials, EarlyView.Solid‐state artificial muscles based on coiled commercial carbon nanotube yarns coated with eutectogel derivatives exhibit unipolar actuation through selective ion intercalation. Combining polyanionic and polycationic gels enables enhanced contractile stroke and high energy density.
Gabriela Ananieva +6 more
wiley +1 more source
Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2015 We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from ...
Hajłasz Piotr, Zimmerman Scott
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Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
wiley +1 more source
Yamabe-Type Equations on Carnot Groups [PDF]
Potential Analysis, 2016 This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain $D$ of the {Heisenberg group}
Molica Bisci G, Repovs D
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Advanced Science, EarlyView.Combining microstructural engineering with Cu3SbSe3 alloying significantly improves the performance of Bi2Te3‑based thermoelectric materials, yielding a high zT of ≈1.45 (average zT ≈1.3 over 303–503 K), excellent mechanical robustness (Vickers hardness of 96 Hv and compressive strength of 187 MPa), and an impressive conversion efficiency of ≈6.9% at a
Ruiheng Li +11 more
wiley +1 more source
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Analysis and Geometry in Metric SpacesIn this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
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