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A random walk version of Robbins' problem: small horizon

Description: This article considers an analogous problem in which the observed random variables are the steps of a symmetric random walk. Assuming continuously distributed step sizes, it describes the optimal stopping rules for the cases n = 2 and n = 3 in two versions of the problem: a "full information" version in which the actual steps of the random walk are disclosed to the decision maker; and a "partial information" version in which only the relative ranks of the positions taken by the random walk are … more
Date: November 17, 2018
Creator: Allaart, Pieter C. & Allen, Andrew
Partner: UNT College of Science
open access

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
Partner: UNT College of Science
open access

Polynomial Harmonic Decompositions

Description: Article on polynomial harmonic decompositions. For real polynomials in two indeterminates a classical polynomial harmonic decomposition is extended from square-norm divisors to conic ones.
Date: January 2017
Creator: Anghel, Nicolae
Partner: UNT College of Arts and Sciences
open access

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
Partner: UNT College of Arts and Sciences
open access

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.
Partner: UNT College of Science
open access

Local and Systemic Metabolic Responses during Light-Induced Rapid Systemic Signaling

Description: This article reports that local application of light stress to one rosette leaf of bolting Arabidopsis (Arabidopsis thaliana) plants resulted in a metabolic response that encompassed local, systemic and transport tissues, demonstrating a high degree of physical and metabolic continuity between different tissues throughout the plant.
Date: December 2018
Creator: Choudhury, Feroza K.; Devireddy, Amith R.; Azad, Rajeev K.; Shulaev, Vladimir & Mittler, Ron
Partner: UNT College of Science
open access

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
Partner: UNT College of Science
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