Results 41 to 50 of about 4,543,360 (329)
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
openaire +2 more sources
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.
core +3 more sources
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
core +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
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
doaj +1 more source
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 The classical likelihood ratio test(LRT) is no longer applicable when $p\gg n$.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
core +2 more sources
On the asymptotic dimension of the curve complex [PDF]
Geometry and Topology, 2015 We give a bound, linear in the complexity of the surface, on the asymptotic dimension of the curve complex as well as the capacity dimension of the ending lamination space.
M. Bestvina, K. Bromberg
semanticscholar +1 more source
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 ...
openaire +2 more sources
Cohomological approach to asymptotic dimension [PDF]
Geometriae Dedicata, 2008 30 ...
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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
doaj +1 more source