Results 21 to 30 of about 5,722,301 (356)

Discrete-Time Observations of Brownian Motion on Lie Groups and Homogeneous Spaces: Sampling and Metric Estimation

open access: yesAlgorithms, 2022
We present schemes for simulating Brownian bridges on complete and connected Lie groups and homogeneous spaces. We use this to construct an estimation scheme for recovering an unknown left- or right-invariant Riemannian metric on the Lie group from ...
Mathias Højgaard Jensen   +2 more
doaj   +1 more source

Political Discussions in Homogeneous and Cross-Cutting Communication Spaces [PDF]

open access: yesInternational Conference on Web and Social Media, 2019
Online platforms, such as Facebook, Twitter, and Reddit, provide users with a rich set of features for sharing and consuming political information, expressing political opinions, and exchanging potentially contrary political views.
Jisun An   +3 more
semanticscholar   +1 more source

On homogeneous spaces with finite anti-solvable stabilizers

open access: yesComptes Rendus. Mathématique, 2022
We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
doaj   +1 more source

Symplectic Homogeneous Spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
It is proved in this paper that for a given simply connected Lie group G with Lie algebra g \mathfrak {g} , every left-invariant closed 2-form induces a symplectic homogeneous space. This fact generalizes the results in [7] and [12] that if H 1 (
openaire   +1 more source

Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces

open access: yesAdvanced Nonlinear Studies, 2023
Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.
Dao Nguyen Anh
doaj   +1 more source

Two-step Homogeneous Geodesics in Homogeneous Spaces [PDF]

open access: yes, 2016
We study geodesics of the form $\gamma(t) = \pi(\exp(tX) \exp(tY))$, $X, Y \in \mathfrak{g} = \operatorname{Lie}(G)$, in homogeneous spaces $G/K$, where $\pi \colon G \to G/K$ is the natural projection.
A. Arvanitoyeorgos, N. Souris
semanticscholar   +1 more source

Symplectic homogeneous spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1975
In this paper we make various remarks, mostly of a computational nature, concerning a symplectic manifold X on which a Lie group G acts as a transitive group of symplectic automorphisms. The study of such manifolds was initiated by Kostant [41 and Souriau [5] and was recently developed from a more general point of view by Chu [2].
openaire   +2 more sources

Matrix Models in Homogeneous Spaces [PDF]

open access: yes, 2002
We investigate non-commutative gauge theories in homogeneous spaces G/H. We construct such theories by adding cubic terms to IIB matrix model which contain the structure constants of G.
Ambjorn   +32 more
core   +5 more sources

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

Affine representability results in 1–homotopy theory, II : Principal bundles and homogeneous spaces [PDF]

open access: yes, 2015
We establish a relative version of the abstract "affine representability" theorem in ${\mathbb A}^1$--homotopy theory from Part I of this paper. We then prove some ${\mathbb A}^1$--invariance statements for generically trivial torsors under isotropic ...
A. Asok, Marc Hoyois, Matthias Wendt
semanticscholar   +1 more source

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