Results 11 to 20 of about 61,767 (263)
Actual and Potential Infinity [PDF]
Noûs, 2017 AbstractThe notion of potential infinity dominated in mathematical thinking about infinity from Aristotle until Cantor. The coherence and philosophical importance of the notion are defended. Particular attention is paid to the question of whether potential infinity is compatible with classical logic or requires a weaker logic, perhaps intuitionistic.
Linnebo, Øystein, Shapiro, Stewart
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The gradient flow of infinity-harmonic potentials
Advances in Mathematics, 2021 We study the streamlines of $\infty$-harmonic functions in planar convex rings. We include convex polygons. The points where streamlines can meet are characterized: they lie on certain curves. The gradient has constant norm along streamlines outside the set of meeting points, the infinity-ridge.
Lindgren, Erik, Lindqvist, Peter
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Every recurrent network has a potential tending to infinity
Comptes Rendus. MathématiqueA rooted network consists of a connected, locally finite graph $G$, equipped with edge conductances and a distinguished vertex $o$. A nonnegative function on the vertices of $G$ which vanishes at $o$, has Laplacian $1$ at $o$, and is harmonic at all ...
Nachmias, Asaf, Peres, Yuval
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Positive infinities of potentials [PDF]
Proceedings of the American Mathematical Society, 1951 Let R denote Euclidean 3-space. The following theorem is due to Evans [1, p. 421].1 Let E be a closed bounded set of capacity zero in R. There exists a distribution of positive mass ,(e) entirely on E, such that its potential V(M) = fR(1/MP) dy(P) is infinite at every point of E and at no other points.
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De la determinación del infinito a la inaccesibilidad en los cardinales transfinitos
Crítica, 2019 In this paper I deal with two problems in mathematical philosophy: the (very old) question about the nature of infinity, and the possible answer to this question after Cantor’s theory of transfinite numbers.
Carlos Álvarez J.
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Infinity-harmonic potentials and their streamlines
Discrete & Continuous Dynamical Systems - A, 2019 21 pages; 1 ...
Lindgren, Erik, Lindqvist, Peter
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Fourier spectra of measures associated with algorithmically random Brownian motion [PDF]
Logical Methods in Computer Science, 2014 In this paper we study the behaviour at infinity of the Fourier transform of Radon measures supported by the images of fractal sets under an algorithmically random Brownian motion.
Willem Louw Fouché +2 more
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Retraction Note: Growth properties of Green-Sch potentials at infinity [PDF]
Boundary Value Problems, 2020 The Editors-in-Chief have retracted this article [1] because it shows evidence of peer review manipulation. In addition, the identity of the corresponding author could not be verified: Stockholms Universitet have confirmed that Alexander Yamada has not been affiliated with their institution.
Tao Zhao, Alexander Yamada
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Static Einstein–Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime
Entropy, 2016 We construct a new class of Einstein–Maxwell static solutions with a magnetic field in D-dimensions (with D ≥ 5 an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime.
Jose Luis Blázquez-Salcedo +3 more
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Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity
Mathematics, 2019 In this paper, we study a class of nonlinear Choquard equation driven by the fractional Laplacian. When the potential function vanishes at infinity, we obtain the existence of a ground state solution for the fractional Choquard equation by using a non ...
Huxiao Luo, Shengjun Li, Chunji Li
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