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Newton flow of the Riemann zeta function: separatrices control the appearance of zeros

Description: This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
Date: October 14, 2014
Creator: Neuberger, J. W.; Feiler, C.; Llopis, A.; Maier, H. & Schleich, W. P.
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Partner: UNT College of Arts and Sciences
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Existence of Solutions for Sublinear Equations on Exterior Domains

Description: This article proves the existence of an infinite number of radial solutions of Δu+K(r)ƒ(u) = 0, one with exactly n zeros for each nonnegative integer n on the exterior of the ball of radius R > 0, Bʀ, centered at the origin in ℝᴺ with u = 0 on ∂Bʀ and limᵣ→∞u(r) = 0 where N > 2, f is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), ƒ(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r-α with 0 < α < 2 for large r.
Date: October 10, 2017
Creator: Iaia, Joseph A.
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Partner: UNT College of Science
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A novel statistical method for rare-variant association studies in general pedigrees

Description: In this paper, the authors discuss a novel statistical method for rare-variant association studies in general pedigrees for quantitative traits. This method uses a retrospective view that treats the traits as fixed and the genotypes as random, which accounts for complex and undefined ascertainment of families.
Date: October 18, 2016
Creator: Zhu, Huanhuan; Wang, Zhenchuan; Wang, Xuexia & Sha, Qiuying
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Partner: UNT College of Arts and Sciences
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Estimating Hausdorff measure for Denjoy maps

Description: Article describes how the authors plant to deal with orientation preserving homeomorphisms and, more specifically, diffeomorphisms of the unit circle S1. By employing the recurrence method worked out in Pawelec the authors provide effective lower estimates of the proper-dimensional Hausdorff measure of minimal sets of circle homeomorphisms that are not conjugate to any rotation.
Date: October 20, 2023
Creator: Pawelec, Łukasz & Urbański, Mariusz
Item Type: Refine your search to only Article
Partner: UNT College of Science
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