Results 131 to 140 of about 12,576,498 (281)
Optimizing a machine learning design of dielectric properties in lead-free piezoelectric ceramics
Designing lead-free piezoelectric ceramics with tailored electrical properties remains a critical challenge for various applications. In this paper we present a novel methodology integrating Machine Learning (ML) and optimization procedures to fine-tune ...
Helder R.O. Rocha +6 more
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Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume [PDF]
Kenshiro Tashiro
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Constructing Hölder maps to Carnot groups
In this paper, we construct Hölder maps to Carnot groups equipped with a Carnot metric, especially the first Heisenberg group H \mathbb {H} . Pansu and Gromov [Carnot-Carathéodory spaces seen from within, Birkhäuser, Basel, 1996] observed that any surface embedded in H \mathbb {H} has Hausdorff
Wenger, Stefan, Young, Robert
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The p-Laplace equation in a class of Hormander vector fields
We find the fundamental solution to the p-Laplace equation in a class of Hormander vector fields that generate neither a Carnot group nor a Grushin-type space. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding
Thomas Bieske, Robert D. Freeman
doaj
Performance of plant-produced RBDs as SARS-CoV-2 diagnostic reagents: a tale of two plant platforms
The COVID-19 pandemic has underscored the need for rapid and cost-effective diagnostic tools. Serological tests, particularly those measuring antibodies targeting the receptor-binding domain (RBD) of the virus, play a pivotal role in tracking infection ...
Mattia Santoni +14 more
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MULTIFRACTAL ANALYSIS OF FUNCTIONS ON HEISENBERG AND CARNOT GROUPS [PDF]
Stéphane Seuret, François Vigneron
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Transitive bi-Lipschitz group actions and bi-Lipschitz parameterizations
We prove that Ahlfors 2-regular quasisymmetric images of the Euclidean plane are bi-Lipschitz images of the plane if and only if they are uniformly bi-Lipschitz homogeneous with respect to a group.
Freeman, David M.
core
A remark on quasiconformal mappings on Carnot groups.
A. Koranyi and M. Reimann informed me that a result of theirs on the theory of quasiconformal mappings on the Heisenberg groups contradicted inequality (20.17) in my monograph [Strong rigidity of locally symmetric spaces, Ann. Math. Studies, No.
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On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds [PDF]
Fabrice Baudoin +2 more
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This paper is the third in a series dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie groups theory: "Sub-Riemannian geometry and Lie groups.
Buliga, Marius
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