Results 21 to 30 of about 323,246 (272)
Coarse amenability and discreteness [PDF]
, 2015 This paper is devoted to dualization of paracompactness to the coarse category via the concept of $R$-disjointness. Property A of G.Yu can be seen as a coarse variant of amenability via partitions of unity and leads to a dualization of paracompactness ...
Dydak, Jerzy
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Asymptotic Brauer $p$-Dimension
, 2021 We define and compute $\operatorname{ABrd}_p(F)$, the asymptotic Brauer $p$-dimension of a field $F$, in cases where $F$ is a rational function field or Laurent series field. $\operatorname{ABrd}_p(F)$ is defined like the Brauer $p$-dimension except it considers finite sets of Brauer classes instead of single classes.
Chapman, Adam, McKinnie, Kelly
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Weak hyperbolicity of cube complexes and quasi-arboreal groups [PDF]
, 2013 We examine a graph $\Gamma$ encoding the intersection of hyperplane carriers in a CAT(0) cube complex $\widetilde X$. The main result is that $\Gamma$ is quasi-isometric to a tree.
Hagen, Mark F.
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The exterior Dirichlet problems of Monge–Ampère equations in dimension two
Boundary Value Problems, 2020 In this paper, we study the Monge–Ampère equations det D 2 u = f $\det D^{2}u=f$ in dimension two with f being a perturbation of f 0 $f_{0}$ at infinity.
Limei Dai
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Testing the Sphericity of a covariance matrix when the dimension is much larger than the sample size [PDF]
, 2016 This paper focuses on the prominent sphericity test when the dimension $p$ is much lager than sample size $n$. The classical likelihood ratio test(LRT) is no longer applicable when $p\gg n$.
Li, Zeng, Yao, Jianfeng
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Topological asymptotic dimension
, 2022 We initiate a study of asymptotic dimension for locally compact groups. This notion extends the existing invariant for discrete groups and is shown to be finite for a large class of residually compact groups. Along the way, the notion of Hirsch length is extended to topological groups and classical results of Hirsch and Malcev are extended using a ...
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Impact of sufficient dimension reduction in nonparametric estimation of causal effect
Statistical Theory and Related Fields, 2018 We consider the estimation of causal treatment effect using nonparametric regression or inverse propensity weighting together with sufficient dimension reduction for searching low-dimensional covariate subsets.
Ying Zhang +3 more
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Asymptotic dimension of finitely presented groups [PDF]
Proceedings of the American Mathematical Society, 2008 It is proven that if a finitely presented group is one ended it has asymptotic dimension bigger than one. It follows that finitely presented groups with asdim 1 are virtually free. A counterexample is given for the finitely generated case.
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Randomness extraction and asymptotic Hamming distance [PDF]
Logical Methods in Computer Science, 2013 We obtain a non-implication result in the Medvedev degrees by studying sequences that are close to Martin-L\"of random in asymptotic Hamming distance. Our result is that the class of stochastically bi-immune sets is not Medvedev reducible to the class of
Cameron E. Freer, Bjoern Kjos-Hanssen
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On equivariant asymptotic dimension [PDF]
Groups, Geometry, and Dynamics, 2017 The work discusses equivariant asymptotic dimension (also known as "wide equivariant covers", " N - \mathcal F -amenability" or "amenability dimension" and " d -BLR condition") and its ...
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