Results 1 to 10 of about 55,886 (121)
Exploring syphilis transmission dynamics with congenital infection and disability compartments [PDF]
Scientific ReportsThis study proposes a novel sex-structured syphilis transmission model that incorporates key biological features such as congenital infection and disability due to long-term complications.
Rahat Zarin +4 more
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Compact reduction in Lipschitz-free spaces [PDF]
Studia Mathematica, 2021 We prove a general principle satisfied by weakly precompact sets of Lipschitz-free spaces. By this principle, certain infinite dimensional phenomena in Lipschitz-free spaces over general metric spaces may be reduced to the same phenomena in free spaces over their compact subsets. As easy consequences we derive several new and some known results.
Aliaga, Ramón J. +3 more
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Embeddings of Lipschitz-free spaces into ℓ1 [PDF]
Journal of Functional Analysis, 2021 We show that, for a separable and complete metric space $M$, the Lipschitz-free space $\mathcal F(M)$ embeds linearly and almost-isometrically into $\ell_1$ if and only if $M$ is a subset of an $\mathbb R$-tree with length measure 0. Moreover, it embeds isometrically if and only if the length measure of the closure of the set of branching points of $M$
Aliaga, Ramón J. +2 more
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RETRACTED - Compact reduction in Lipschitz-free spaces [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 We prove a general principle satisfied by weakly precompact sets of Lipschitz-free spaces. By this principle, certain infinite dimensional phenomena in Lipschitz-free spaces over general metric spaces may be reduced to the same phenomena in free spaces over their compact subsets. As easy consequences we derive several new and some known results.
Ramón J. Aliaga +3 more
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Lipschitz Algebras and Lipschitz-Free Spaces Over Unbounded Metric Spaces [PDF]
International Mathematics Research Notices, 2021 Abstract We investigate a way to turn an arbitrary (usually, unbounded) metric space ${{\mathcal{M}}}$ into a bounded metric space ${{\mathcal{B}}}$ in such a way that the corresponding Lipschitz-free spaces ${{\mathcal{F}}}({{\mathcal{M}}})$ and ${{\mathcal{F}}}({{\mathcal{B}}})$ are isomorphic. The construction we provide is functorial
Albiac, F. +3 more
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Lipschitz-Free Spaces Over Ultrametric Spaces [PDF]
Mediterranean Journal of Mathematics, 2015 The only change in the latest version is the second author's grant information. Question 1 from the previous version has been answered - see Remark 15 for the solution. Preprint was accepted in Mediterr.
Cúth, Marek, Doucha, Michal
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Stability Analysis of Fractional-Order Predator-Prey System with Consuming Food Resource
Axioms, 2023 The cardinal element of ecology is the predator-prey relationship. The population of interacting organisms is based on many factors such as food, water, space, and protection. A key component among these factors is food.
Muhammad Shoaib Arif +2 more
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Lipschitz-free Spaces on Finite Metric Spaces [PDF]
Canadian Journal of Mathematics, 2019 AbstractMain results of the paper are as follows:(1) For any finite metric space$M$the Lipschitz-free space on$M$contains a large well-complemented subspace that is close to$\ell _{1}^{n}$.(2) Lipschitz-free spaces on large classes of recursively defined sequences of graphs are not uniformly isomorphic to$\ell _{1}^{n}$of the corresponding dimensions ...
Dilworth, Stephen J. +2 more
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Free-Space Optical Communication with an Optimized Lipschitz Exponent for Biosignal Telemetry
Measurement Science Review, 2023 Healthcare monitoring is a rapidly developing network in the field of advanced medical treatment. The network combines the ideology of wireless communication, signal processing, medical information and real-time processing units to support the medical ...
Chokkalingam Mathuvanesan +1 more
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Lipschitz-free Banach spaces [PDF]
Studia Mathematica, 2003 The present paper contributes significantly to the study of Lipschitz isomorphisms of Banach spaces. For a Banach space \(X\), let Lip\(_0(X)\) denote the space of Lipschitz functions on \(X\) that vanish at~\(0\), endowed with the Lipschitz constant as its canonical norm.
Godefroy, G., Kalton, N. J.
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