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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: April 15, 2016
Creator: Bringmann, Kathrin; Richter, Olav K. & Westerholt-Raum, Martin
Partner: UNT College of Arts and Sciences

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 Bedford–McMullen sponges/carpets) and the case of Barański carpets.
Date: June 20, 2017
Creator: Das, Tushar; Fishman, Lior; Simmons, David & Urbański, Mariusz
Partner: UNT College of Arts and Sciences

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: March 10, 2017
Creator: Burks, David J.; Norris, Stephen; Kauffman, Kathryn M.; Joy, Abigail; Arevalo, Philip; Azad, Rajeev K. et al.
Partner: UNT College of Arts and Sciences

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.
Partner: UNT College of Arts and Sciences

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: December 29, 2016
Creator: Iaia, Joseph A.
Partner: UNT College of Arts and Sciences

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.
Partner: UNT College of Arts and Sciences