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Metric geometry of infinite dimensional Lie groups and their homogeneous spaces
(De Gruyter, 2019-09)
We study the geometry of Lie groups G with a continuous Finsler metric, in presence of a subgroup K such that the metric is right-invariant for the action of K. We present a systematic study of the metric and geodesic ...
Spectral uniqueness of bi-invariant metrics on symplectic groups
(Birkhauser Boston Inc, 2019-12)
In this short note, we prove that a bi-invariant Riemannian metric on Sp(n) is uniquely determined by the spectrum of its Laplace–Beltrami operator within the class of left-invariant metrics on Sp(n). In other words, on ...
New dynamic metric indices for secondary memory
(Pergamon-Elsevier Science, 2016)
Metric indices support efficient similarity searches in metric spaces. This problem is central to many applications, including multimedia databases and repositories handling complex objects. Most metric indices are designed ...
On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups
(American Mathematical Society, 2020-03)
Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group $G$, there is a positive real number $C$ such that $\lambda_1(G,g)\operatorname{diam}(G,g)^2\leq C$ for all left-invariant ...
Homogeneous manifolds from noncommutative measure spaces
(Academic Press Inc Elsevier Science, 2010-05)
Let M be a finite von Neumann algebra with a faithful trace τ. In this paper we study metric geometry of homogeneous spaces O of the unitary group U of M, endowed with a Finsler quotient metric induced by the p-norms of ...
Métricas intrínsecas invariantes à esquerda em grupos de Lie
(BrasilDepartamento de MatemáticaPrograma de Pós-Graduação em MatemáticaUEMMaringá, PRCentro de Ciências Exatas, 2019)
Hematologic metrics from olrog's gull (Larus Atlanticus) during the nonbreeding season in Argentina
(American Association of Zoo Veterinarians, 2021-04)
Ecophysiology and conservation studies often require the prior establishment of baseline physiologic metrics. For instance, expected reference intervals for health metrics are valuable tools for veterinarians and ...
Semantic metrics for software products
(Springer, 2014-03)
Like all engineering disciplines, software engineering relies on quantitative analysis to support rationalized decision making. Software engineering researchers and practitioners have traditionally relied on software metrics ...
Lion and man in non-metric spaces
(Springer, 2018-12)
A lion and a man move continuously in a space X. The aim of the lion is to capture his prey while the man wants to escape forever. Which of them has a strategy? This question has been studied for different metric domains. ...
Industrial Supply Chains: Performance Measures, Metrics and Benchmarks
(Elsevier B.V., 2007-07)
Industrial are moving towards more integrated supply chains (SCs) to remaincompetitive. To be effectively designed and managed, these integrated SCs needto be measured and evaluated in a consistent way. The formal definition ...