Results 61 to 70 of about 4,893,677 (289)
A new construction of universal spaces for asymptotic dimension [PDF]
, 2017 For each n, we construct a separable metric space U n that is universal in the coarse category of separable metric spaces with asymptotic dimension (asdim) at most n and universal in the uniform category of separable metric spaces with uniform dimension (
G. Bell, A. Nagórko
semanticscholar +1 more source
Property A and asymptotic dimension
Glasnik matematički, 2012 3 ...
Cencelj, Matija +2 more
openaire +4 more sources
Classification of metric spaces with infinite asymptotic dimension [PDF]
, 2017 We introduce a geometric property complementary-finite asymptotic dimension (coas- dim). Similar with asymptotic dimension, we prove the corresponding coarse invariant theorem, union theorem and Hurewicz-type theorem.
Yan Wu, Jing-Ming Zhu
semanticscholar +1 more source
Quasinormal Modes of a Charged Black Hole with Scalar Hair
Universe, 2023 Based on the five-dimensional Einstein–Maxwell theory, Bah et al. constructed a singularity-free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)].
Wen-Di Guo, Qin Tan
doaj +1 more source
Asymptotic and bootstrap tests for subspace dimension
Journal of Multivariate Analysis, 2022 Most linear dimension reduction methods proposed in the literature can be formulated using an appropriate pair of scatter matrices, see e.g. Ye and Weiss (2003), Tyler et al. (2009), Bura and Yang (2011), Liski et al. (2014) and Luo and Li (2016). The eigen-decomposition of one scatter matrix with respect to another is then often used to determine the ...
Oja, Hannu +3 more
openaire +7 more sources
Dimensionality reduction of a dynamic wind turbine model
Вестник Самарского университета: Естественнонаучная серияThe article examines a mathematical model of a small wind power plant with a vertical axis of rotation, known as the Darye wind turbine. The paper considers the transition from a three-time differential system of equations to a two-time system, which ...
A. S. Kirsanova
doaj +1 more source
A covariance matrix test for high-dimensional data [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2016 For the multivariate normally distributed data with the dimension larger than or equal to the number of observations, or the sample size, called high-dimensional normal data, we proposed a test for testing the null hypothesis that the covariance matrix
Saowapha Chaipitak, Samruam Chongcharoen
doaj +1 more source
The asymptotic dimension of quotients by finite groups [PDF]
, 2016 Let $X$ be a proper metric space and let $F$ be a finite group acting on $X$ by isometries. We show that the asymptotic dimension of $F\backslash X$ is the same as the asymptotic dimension of $X$.
Daniel Kasprowski
semanticscholar +1 more source
Asymptotic dimension, property A, and Lipschitz maps [PDF]
Revista Matemática Complutense, 2012 It is well-known that a paracompact space X is of covering dimension n if and only if any map f from X to a simplicial complex K can be pushed into its n-skeleton. We use the same idea to define dimension in the coarse category. It turns out the analog of maps f from X to K is related to asymptotically Lipschitz maps, the analog of paracompact spaces ...
Cencelj, M., Dydak, J., Vavpetič, A.
openaire +2 more sources
AdS3 holography at dimension two
Journal of High Energy Physics, 2019 Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state.
Stefano Giusto +2 more
doaj +1 more source