Controllability of infinite‐dimensional conformable Θ$$ \Theta $$‐H$$ H $$‐systems
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DOI: 10.1002/asjc.3659
Abstract: This paper extends the concept of a generator to Θ$$ \Theta $$ ‐ H$$ H $$ ‐semigroups and investigates solutions to the Θ$$ \Theta $$ ‐ H$$ H $$ ‐systems in infinite‐dimensional spaces. Additionally, the… read more here.
Keywords: infinite dimensional; theta systems; controllability infinite; dimensional conformable ... See more keywords
The size of infinite dimensional representations
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DOI: 10.1007/bfb0090118
Abstract: An infinite-dimensional representation π of a real reductive Lie group G can often be thought of as a function space on some manifold X. Although X is not uniquely defined by π, there are “geometric… read more here.
Keywords: size infinite; infinite dimensional; geometry; dimensional representations ... See more keywords
On stabilization of Maxwell-BMS algebra
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DOI: 10.1007/jhep04(2020)073
Abstract: In this work we present different infinite dimensional algebras which appear as deformations of the asymptotic symmetry of the three-dimensional Chern-Simons gravity for the Maxwell algebra. We study rigidity and stability of the infinite dimensional… read more here.
Keywords: bms; maxwell bms; bms algebra; algebra ... See more keywords
Projective Limit Techniques for the Infinite Dimensional Moment Problem
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DOI: 10.1007/s00020-022-02692-6
Abstract: We deal with the following general version of the classical moment problem: when can a linear functional on a unital commutative real algebra A be represented as an integral with respect to a Radon measure… read more here.
Keywords: moment problem; algebra; projective limit; problem ... See more keywords
Entanglement Cost for Infinite-Dimensional Physical Systems
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DOI: 10.1007/s00220-025-05431-1
Abstract: We prove that the entanglement cost equals the regularized entanglement of formation for any infinite-dimensional quantum state ρAB\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\rho _{AB}$$\end{document} with finite quantum entropy on at least… read more here.
Keywords: physical systems; infinite dimensional; cost infinite; entanglement cost ... See more keywords
Infinite-dimensional polynomial processes
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DOI: 10.1007/s00780-021-00450-x
Abstract: We introduce polynomial processes taking values in an arbitrary Banach space B ${B}$ via their infinitesimal generator L $L$ and the associated martingale problem. We obtain two representations of the (conditional) moments in terms of… read more here.
Keywords: dimensional polynomial; infinite dimensional; polynomial processes; finance ... See more keywords
Constructing KMS states from infinite-dimensional spectral triples
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DOI: 10.1016/j.geomphys.2019.05.006
Abstract: We construct KMS-states from Li1-summable semifinite spectral triples and show that in several important examples the construction coincides with well-known direct constructions of KMS-states for naturally defined flows. Under further summability assumptions the constructed KMS-state… read more here.
Keywords: kms states; constructing kms; states infinite; spectral triples ... See more keywords
An inherently infinite-dimensional quantum correlation
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DOI: 10.1038/s41467-020-17077-9
Abstract: Bell’s theorem, a landmark result in the foundations of physics, establishes that quantum mechanics is a non-local theory. It asserts, in particular, that two spatially separated, but entangled, quantum systems can be correlated in a… read more here.
Keywords: quantum; quantum systems; dimensional quantum; correlation ... See more keywords
An infinite dimensional KAM theorem with application to two dimensional completely resonant beam equation
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DOI: 10.1063/1.5045780
Abstract: In this paper we consider the completely resonant beam equation on \T^2 with cubic nonlinearity on a subspace of L^2 (\T^2) which will be explained later. We establish an abstract infinite dimensional KAM theorem and… read more here.
Keywords: beam equation; infinite dimensional; completely resonant; resonant beam ... See more keywords
Mean Hausdorff dimension of some infinite dimensional fractals for amenable group actions
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DOI: 10.1063/5.0258258
Abstract: For the countable discrete amenable group actions, we calculate the mean Hausdorff dimensions of three types of infinite dimensional fractal systems, the self-similar systems, homogeneous systems in the infinite-dimensional torus, and the infinite dimensional-carpets. read more here.
Keywords: infinite dimensional; mean hausdorff; amenable group; hausdorff dimension ... See more keywords
Robust nonlinear state estimation for a class of infinite-dimensional systems using reduced-order models
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DOI: 10.1080/00207179.2019.1645359
Abstract: A methodology for designing robust, low-order observers for a class of spectral infinite-dimensional nonlinear systems is presented. This approach uses the low-dimensional subspace explicitly in the observer design. Then, robustness to bounded model uncertainties is… read more here.
Keywords: class; infinite dimensional; state estimation; order ... See more keywords