An urban-to-rural continuum of malaria risk: new analytic approaches characterize patterns in Malawi
Malaria Journal, 2021 Background The urban–rural designation has been an important risk factor in infectious disease epidemiology. Many studies rely on a politically determined dichotomization of rural versus urban spaces, which fails to capture the complex mosaic of ...
Peter S. Larson +4 more
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A mathematical framework for protein structure comparison. [PDF]
PLoS Computational Biology, 2011 Comparison of protein structures is important for revealing the evolutionary relationship among proteins, predicting protein functions and predicting protein structures.
Wei Liu, Anuj Srivastava, Jinfeng Zhang
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 more
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Musielak-Orlicz-Sobolev spaces on metric measure spaces [PDF]
, 2015 summary:Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition.
Ohno, Takao +3 more
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, 2023 Author disagreement about the preprint timeline before further testing and verification.
Bell, Okezue +2 more
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Principal eigenvalue, maximum principles and linear stability for nonlocal diffusion equations in metric measure spaces [PDF]
, 2022 We study principal eigenvalues and maximum principles for stationary nonlocal operators in spaces of integrable functions defined on general metric measure spaces under minimal assumptions on the kernels.
Rodríguez Bernal, Aníbal
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Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy’s inequalities
Demonstratio Mathematica, 2016 This note investigates weaker conditions than a Poincaré inequality in analysis on metric measure spaces. We discuss two resistance conditions which are stated in terms of capacities.
Kinnunen Juha, Silvestre Pilar
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Bi-parameter Potential theory and Carleson measures for the Dirichlet space on the bidisc
Discrete Analysis, 2023 Bi-parameter potential theory and Carleson measures for the Dirichlet space on the bidisc, Discrete Analysis 2023:22, 58 pp. Carleson measures arise naturally when considering harmonic or holomorphic extensions from the boundary of a domain to the ...
Nicola Arcozzi +3 more
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The magnitude of odd balls via Hankel determinants of reverse Bessel polynomials
Discrete Analysis, 2020 The magnitude of odd balls via Hankel determinants of reverse Bessel polynomials, Discrete Analysis 2020:5, 42 pp. This paper concerns an invariant of metric spaces known as _magnitude_, which, as its name suggests, is a notion of size.
Simon Willerton
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Haarlet analysis of Lipschitz regularity in metric measure spaces
Science China Mathematics, 2012 The authors give a characterization of Lipschitz spaces on spaces of homogeneous type via Haar coefficients. Let \((X,d,\mu)\) be a space of homogeneous type, where \(d\) is a distance on \(X\) and \(\mu\) satisfies the doubling condition. Lipschitz spaces were introduced by \textit{R. A. Macías} and \textit{C. Segovia} [Adv. Math.
Aimar, Hugo Alejandro +2 more
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