Results 51 to 60 of about 4,893,677 (289)
On the asymptotic dimension of products of coarse spaces
Topology and its Applications, 2020 We prove that for any coarse spaces $X_1,\dots,X_n$ of asymptotic dimension $\ge 1$ the product $X=X_1\times\dots\times X_n$ has asymptotic dimension $\ge n$. This answers a question of Protasov.
I. Banakh, T. Banakh
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The asymptotic dimension of box spaces of virtually nilpotent groups [PDF]
Discrete Mathematics, 2017 We show that every box space of a virtually nilpotent group has asymptotic dimension equal to the Hirsch length of that group.
Thiebout Delabie, Matthew C. H. Tointon
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On asymptotic density inn-dimensions [PDF]
Pacific Journal of Mathematics, 1969 The notion of asymptotic density for sets of non-negative integers is generalized to sets of \(n\)-dimensional ``non-negative'' lattice points. Let \(S\) be the set of all \(n\)-tuples of non-negative integers. For \(A\subseteq S\), the Schnirelmann density, \(d(A)\), of \(A\), has been defined to be \(glb_F(A(F)/S(F))\) where \(X(Y)\) is the number of
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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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A High-Dimensional Counterpart for the Ridge Estimator in Multicollinear Situations
Mathematics, 2021 The ridge regression estimator is a commonly used procedure to deal with multicollinear data. This paper proposes an estimation procedure for high-dimensional multicollinear data that can be alternatively used.
Mohammad Arashi +3 more
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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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On asymptotic dimension of countable Abelian groups
Topology and its Applications, 2006 9 pages, 1 figure ...
University of Florida, Department of Mathematics, PO Box 118105 Little Hall, Gainesville, FL 32611-8105, USA ( host institution ) +1 more
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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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Burghelea conjecture and asymptotic dimension of groups [PDF]
Journal of Topology and Analysis (JTA), 2016 We review the Burghelea conjecture, which constitutes a full computation of the periodic cyclic homology of complex group rings, and its relation to the algebraic Baum–Connes conjecture. The Burghelea conjecture implies the Bass conjecture.
A. Engel, Michał Marcinkowski
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On a formula for the asymptotic dimension of free products [PDF]
Fundamenta Mathematicae, 2004 The notion of asymptotic dimension (asdim) of a finitely generated group was developed by \textit{G. Bell} and \textit{A. Dranishnikov} [in Algebr. Geom. Topol. 1, 57-71 (2001; Zbl 1008.20039)] and bounds for amalgamated products and HNN extensions are derived by \textit{G. Bell} and \textit{A. Dranishnikov} [in Geom.
Bell, G. C. +2 more
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