Results 51 to 60 of about 404,979 (334)

More on the cardinality of a topological space

open access: yesApplied General Topology, 2018
In this paper we continue to investigate the impact that various separation axioms and covering properties have onto the cardinality of topological spaces. Many authors have been working in that field.
M. Bonanzinga   +3 more
doaj   +1 more source

Weingarten integration over noncommutative homogeneous spaces [PDF]

open access: yes, 2017
We discuss an extension of the Weingarten formula, to the case of noncommutative homogeneous spaces, under suitable "easiness" assumptions. The spaces that we consider are noncommutative algebraic manifolds, generalizing the spaces of type $X=G/H\subset ...
Banica, Teodor
core   +4 more sources

Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear PDEs

open access: yesEntropy, 2019
Fokker–Planck PDEs (including diffusions) for stable Lévy processes (including Wiener processes) on the joint space of positions and orientations play a major role in mechanics, robotics, image analysis, directional statistics and ...
Remco Duits   +2 more
doaj   +1 more source

Miura type transformations and homogeneous spaces [PDF]

open access: yes, 2004
We relate Miura type transformations (MTs) over an evolution system to its zero-curvature representations with values in Lie algebras g. We prove that certain homogeneous spaces of g produce MTs and show how to distinguish these spaces.
Igonin, Sergey
core   +4 more sources

The unpredictably eruptive dynamics of spruce budworm populations in eastern Canada

open access: yesPopulation Ecology, EarlyView.
We examine historical population data for spruce budworm from several locations through the period 1930–1997, and use density‐dependent recruitment curves to test whether the pattern of population growth over time is more consistent with Royama's (1984; Ecological Monographs 54:429–462) linear R(t) model of harmonic oscillation at Green River New ...
Barry J. Cooke, Jacques Régnière
wiley   +1 more source

Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
This paper is a sequel to [Caine A., Pickrell D., Int. Math. Res. Not., to appear, arXiv:0710.4484], where we studied the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type
Doug Pickrell
doaj   +1 more source

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

open access: yesAnalysis and Geometry in Metric Spaces, 2018
Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
doaj   +1 more source

Finite Homogeneous Spaces

open access: yesRocky Mountain Journal of Mathematics, 1997
The authors prove that on a set with \(n>0\) elements there are up to homeomorphism \(\tau(n)\) homogeneous topologies. Here \(\tau(n)\) is the number of positive divisors of \(n\). They also prove that if \(X\) is finite and \(\tau\) is a connected homogeneous topology on \(X\) then \(\tau = \{\emptyset,X\}\).
Fora, Ali, Al-Bsoul, Adnan
openaire   +2 more sources

Network topology drives population temporal variability in experimental habitat networks

open access: yesPopulation Ecology, EarlyView.
Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu   +3 more
wiley   +1 more source

Classification of affine homogeneous spaces of complexity one

open access: yes, 2004
The complexity of an action of a reductive algebraic group G on an algebraic variety X is the codimension of a generic B-orbit in X, where B is a Borel subgroup of G. We classify affine homogeneous spaces G/H of complexity one.
Arzhantsev, Ivan V., Chuvashova, Olga V.
core   +1 more source

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