Results 51 to 60 of about 4,543,360 (329)
Randomness extraction and asymptotic Hamming distance [PDF]
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
doaj +1 more source
Towards a Geometric Approach to Strassen's Asymptotic Rank Conjecture
We make a first geometric study of three varieties in $\mathbb{C}^m \otimes \mathbb{C}^m \otimes \mathbb{C}^m$ (for each $m$), including the Zariski closure of the set of tight tensors, the tensors with continuous regular symmetry.
Conner, Austin +4 more
core +1 more source
Asymptotic dimension and small‐cancellation for hierarchically hyperbolic spaces and groups [PDF]
We prove that all hierarchically hyperbolic groups have finite asymptotic dimension. One application of this result is to obtain the sharpest known bound on the asymptotic dimension of the mapping class group of a finite type surface: improving the bound
Jason A. Behrstock, M. Hagen, A. Sisto
semanticscholar +1 more source
Asymptotic dimension of finitely presented groups [PDF]
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.
openaire +2 more sources
A characterization for asymptotic dimension growth [PDF]
We give a characterization for asymptotic dimension growth. We apply it to CAT(0) cube complexes of finite dimension, giving an alternative proof of N. Wright's result on their finite asymptotic dimension.
G. Arzhantseva +3 more
semanticscholar +1 more source
A covariance matrix test for high-dimensional data [PDF]
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
A High-Dimensional Counterpart for the Ridge Estimator in Multicollinear Situations
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
doaj +1 more source
Asymptotic and Bootstrap Tests for the Dimension of the Non-Gaussian Subspace [PDF]
Dimension reduction is often a preliminary step in the analysis of large data sets. The so-called non-Gaussian component analysis searches for a projection onto the non-Gaussian part of the data, and it is then important to know the correct dimension of ...
K. Nordhausen +3 more
semanticscholar +1 more source
Quasinormal Modes of a Charged Black Hole with Scalar Hair
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
Bounds on the speed of type II blow-up for the energy critical wave equation in the radial case
We consider the focusing energy-critical wave equation in space dimension $N\in \{3, 4, 5\}$ for radial data. We study type II blow-up solutions which concentrate one bubble of energy.
Jendrej, Jacek
core +2 more sources

