Results 21 to 30 of about 320,638 (309)
Double Diffusion Maps and their Latent Harmonics for Scientific Computations in Latent Space [PDF]
Journal of Computational Physics, 2022 We introduce a data-driven approach to building reduced dynamical models through manifold learning; the reduced latent space is discovered using Diffusion Maps (a manifold learning technique) on time series data. A second round of Diffusion Maps on those
N. Evangelou +5 more
semanticscholar +1 more source
On Poincaré extensions of rational maps [PDF]
Conformal Geometry and Dynamics of the American Mathematical Society, 2015 There is a classical extension of Möbius automorphisms of the Riemann sphere into isometries of the hyperbolic space H 3 \mathbb {H}^3 which is called the Poincaré extension. In this paper, we construct extensions of rational maps on the Riemann sphere over endomorphisms of H
Cabrera, Carlos +2 more
openaire +3 more sources
Equivariant extensions of maps [PDF]
Pacific Journal of Mathematics, 1973 This paper treats extension and retraction properties in the category *$/9 of compact metric spaces with periodic maps of a prime period p; the subspaces and maps in J^p are called equivariant subspaces and maps, respectively. The motivation of the paper is the following question: Let E be a Euclidean space and α: E X E-> E X E be the involution (x, y)
openaire +4 more sources
On extension of pairwise θ-continuous maps
International Journal of Mathematics and Mathematical Sciences, 1996 The aim of the paper is to find suitable conditions so as to ultimately establish the existence and uniqueness of the extension of a pairwise θ-continuous map onto an arbitrary extension-space of a bitopological space.
S. K. Sen, M. N. Mukherjee
doaj +1 more source
Mathematics, 2020 Kannan maps have inspired a branch of metric fixed point theory devoted to the extension of the classical Banach contraction principle. The study of these maps in modular vector spaces was attempted timidly and was not successful.
Afrah A. N. Abdou, Mohamed Amine Khamsi
doaj +1 more source
On the range of completely bounded maps
International Journal of Mathematics and Mathematical Sciences, 1978 It is shown that if every bounded linear map from a C*-algebra α to a von Neumann algebra β is completely bounded, then either α is finite-dimensional or β⫅𝒞⊗Mn, where 𝒞 is a commutative von Neumann algebra and Mn is the algebra of n×n complex matrices.
Richard I. Loebl
doaj +1 more source
Jordan centralizer maps on trivial extension algebras
Demonstratio Mathematica, 2020 The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
doaj +1 more source
An Extension Problem Related to the Fractional Laplacian [PDF]
, 2006 The operator square root of the Laplacian (− ▵)1/2 can be obtained from the harmonic extension problem to the upper half space as the operator that maps the Dirichlet boundary condition to the Neumann condition.
L. Caffarelli, L. Silvestre
semanticscholar +1 more source
Extension of projection mappings [PDF]
Quaestiones Mathematicae, 2019 We show that a map between projection lattices of semi-finite von Neumann algebras can be extended to a Jordan $*$-homomorphism between the von Neumann algebras if this map is defined in terms of the support projections of images (under the linear map) of projections and the images of orthogonal projections have orthogonal support projections. This has
Pierre de Jager, Jurie Conradie
openaire +3 more sources
Introduction to Completely Geometrically Integrable Maps in High Dimensions
Mathematics, 2023 We introduce here the concept of completely geometrically integrable self-maps of n-dimensional (n≥2) cells, cylinders and tori. This concept is the extension of the geometric integrability concept previously introduced for the self-maps of a rectangle ...
Lyudmila S. Efremova
doaj +1 more source