Degree Department

Uniformly de Bruijn Sequences and Symbolic Diophantine Approximation on Fractals (open access)

Uniformly de Bruijn Sequences and Symbolic Diophantine Approximation on Fractals

Article expanding the Intrinsic Diophantine approximation on fractals first proposed by K. Mahler (1984). This article describes and develops the theory of infinite de Bruijn sequences and answers questions related to Hausdorff dimension, Diophantine approximation, Dirichlet function, and height function.
Date: April 27, 2018
Creator: Fishman, Lior; Merrill, Keith & Simmons, David
System: The UNT Digital Library
Existence of solutions for semilinear problems on exterior domains (open access)

Existence of solutions for semilinear problems on exterior domains

Article proves the existence of an infinite number of radial solutions to ∆u+K(r)f(u) = 0 on ℝᶰ such that limᵣ →∞ u(r) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 where f is odd with f < 0 on (0, β), f > 0 on (β, ∞) with f superlinear for large u, and K(r) ∼ r ⁻ᵅ with α > 2(N − 1).
Date: April 15, 2020
Creator: Iaia, Joseph A.
System: The UNT Digital Library
On counting cuspidal automorphic representations for GSp(4) (open access)

On counting cuspidal automorphic representations for GSp(4)

Article
Date: April 15, 2021
Creator: Roy, Manami; Schmidt, Ralf & Yi, Shaoyun
System: The UNT Digital Library