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Almost Holomorphic Poincaré Series Corresponding to Products of Harmonic Siegel–Maass Forms

Description: This article investigates Poincaré series, particularly the study of Siegel–Poincaré series of degree 2 attached to products of terms of Fourier series of harmonic Siegel–Maass forms and holomorphic Siegel modular forms
Date: August 12, 2016
Creator: Bringmann, Kathrin; Richter, Olav K. & Westerholt-Raum, Martin
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Partner: UNT College of Arts and Sciences
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Badly approximable points on self-affine sponges and the lower Assouad dimension

Description: This article highlights a connection between Diophantine approximation and the lower Assouad dimension by using information about the latter to show that the Hausdorff dimension of the set of badly approximable points that lie in certain non-conformal fractals, known as self-affine sponges, is bounded below by the dynamical dimension of these fractals. The results, which are the first to advance beyond the conformal setting, encompass both the case of Sierpiński sponges/carpets (also known as B… more
Date: June 20, 2017
Creator: Das, Tushar; Fishman, Lior; Simmons, David & Urbański, Mariusz
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Partner: UNT College of Science
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Environmental vibrios represent a source of antagonistic compounds that inhibit pathogenic Vibrio cholerae and Vibrio parahaemolyticus strains

Description: This article predicts that marine-derived bacteria should inhibit Vibrio pathogens and may be a source of unique antibiotic compounds.
Date: May 16, 2017
Creator: Burks, David J.; Norris, Stephen; Kauffman, Kathryn M.; Joy, Abigail; Arevalo, Philip; Azad, Rajeev K. et al.
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Partner: UNT College of Science
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Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains

Description: This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where ƒ is odd with ƒ < 0 on (0,ß), ƒ > 0 on (β, δ), ƒ ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Date: August 22, 2016
Creator: Iaia, Joseph A.
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Partner: UNT College of Arts and Sciences
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Existence and Nonexistence of Solutions for Sublinear Equations on Exterior Domains

Description: This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝN with u = 0 on @BR where ƒ is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), f(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r⁻ᵅ for large r.
Date: September 13, 2017
Creator: Iaia, Joseph A.
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Partner: UNT College of Science
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Existence of Infinitely Many Solutions for Singular Semilinear Problems on Exterior Domains

Description: Article proving the existence of infinitely many radial solutions of ∆𝓊+𝐾(𝓇) ƒ (𝓊) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝᴺ with u = 0 on ∂BR and lim/r→∞ 𝓊(𝓇) = 0 where N > 2, f is odd with f < 0 on (0, β), f > 0 on (β, ∞), f is superlinear for large u, ƒ(𝓊) ∼ −1/(|𝓊|𝘲⁻¹𝓊) with 0 < q < 1 for small u, and 0 < 𝐾(𝓇) ≤ 𝐾₁/r∝ with 𝑁 + q(𝑁 − 2) < ∝ < 2(𝑁− 1) for large r.
Date: September 23, 2019
Creator: Iaia, Joseph A.
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Partner: UNT College of Science
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Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains

Description: This article proves the existence of an infinite number of radial solutions of Δ(u) + f(u) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where f is odd with f < 0 on (0, β), f > 0 on (β,∞) where β > 0.
Date: May 3, 2016
Creator: Joshi, Janak & Iaia, Joseph A.
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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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Foias Numbers

Description: This article identifies the principal features in Foias’ original proof and streamlines them into a general result. The result gives further evidence to the observation that the connection between the sequence with initial seed the Foias constant and the Prime Number Theorem must be fortuitous.
Date: December 30, 2018
Creator: Anghel, Nicolae
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Partner: UNT College of Science
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GAW20: methods and strategies for the new frontiers of epigenetics and pharmacogenomics

Description: Article presents an overview of the data sets and the contributions analyzing data related to human lipid-related phenotypes, DNA methylation, and single-nucleotide markers in a study involving a pharmaceutical intervention.
Date: September 17, 2018
Creator: Tintle, Nathan L.; Fardo, David W.; de Andrade, Mariza; Aslibekyan, Stella; Bailey, Julia N.; Bermejo, Justo Lorenzo et al.
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Partner: UNT College of Science
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A gene based approach to test genetic association based on an optimally weighted combination of multiple traits

Description: In this article, the authors propose a statistical method by Testing an Optimally Weighted Combination of Multiple traits (TOW-CM) to test the association between multiple traits and multiple variants in a genomic region (a gene or pathway). They investigate the performance of the proposed method through extensive simulation studies. Their simulation studies show that the proposed method has correct type I error rates and is either the most powerful test or comparable with the most powerful tes… more
Date: August 9, 2019
Creator: Zhang, Jianjun; Sha, Qiuying; Liu, Guanfu & Wang, Xuexia
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Partner: UNT College of Science
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