Some Spaces of Double Sequences Obtained through Invariant Mean and Related Concepts [PDF]
Abstract and Applied Analysis, 2013 We introduce some double sequences spaces involving the notions of invariant mean (or -mean) and -convergence for double sequences while the idea of -convergence for double sequences was introduced by Çakan et al.
S. A. Mohiuddine, Abdullah Alotaibi
doaj +2 more sources
Journal of Mathematical Analysis and Applications, 2002 Submitted for publication-20 pages.
Horwitz, Alan
openaire +3 more sources
Law-invariant functionals that collapse to the mean: Beyond convexity [PDF]
, 2022 We establish general "collapse to the mean" principles that provide conditions under which a law-invariant functional reduces to an expectation. In the convex setting, we retrieve and sharpen known results from the literature.
Munari, C +3 more
core +4 more sources
Deformation-specific and deformation-invariant visual object recognition: pose vs identity recognition of people and deforming objects [PDF]
, 2014 When we see a human sitting down, standing up, or walking, we can recognise one of these poses independently of the individual, or we can recognise the individual person, independently of the pose. The same issues arise for deforming objects. For example,
Tristan J Webb +5 more
core +1 more source
Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 It has been a long-standing problem posed by the first author in a conference in Marseille in 1990 to characterize semitopological semigroups which have common fixed point property when acting on a nonempty weak* compact convex subset of a dual Banach ...
Anthony To-Ming Lau, Yong Zhang
doaj +1 more source
A Bi-Invariant Statistical Model Parametrized by Mean and Covariance on Rigid Motions
Entropy, 2020 This paper aims to describe a statistical model of wrapped densities for bi-invariant statistics on the group of rigid motions of a Euclidean space. Probability distributions on the group are constructed from distributions on tangent spaces and pushed to
Emmanuel Chevallier, Nicolas Guigui
doaj +1 more source
An amenability-like property of finite energy path and loop groups
Comptes Rendus. Mathématique, 2021 We show that the groups of finite energy loops and paths (that is, those of Sobolev class $H^1$) with values in a compact connected Lie group, as well as their central extensions, satisfy an amenability-like property: they admit a left-invariant mean on ...
Pestov, Vladimir
doaj +1 more source
Law-invariant functionals that collapse to the mean [PDF]
, 2021 We discuss when law-invariant convex functionals "collapse to the mean". More precisely, we show that, in a large class of spaces of random variables and under mild semicontinuity assumptions, the expectation functional is, up to an affine transformation,
Munari, Cosimo; https://orcid.org/ +3 more
core +3 more sources
Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]
, 2011 The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Gordon Blower, Blower, Gordon
core +1 more source
Mean-of-Order-p Location-Invariant Extreme Value Index Estimation
Revstat Statistical Journal, 2016 A simple generalisation of the classical Hill estimator of a positive extreme value index (EVI) has been recently introduced in the literature. Indeed, the Hill estimator can be regarded as the logarithm of the mean of order p = 0 of a certain set of ...
M. Ivette Gomes +2 more
doaj +1 more source