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Full-Text Articles in Mathematics
A Structural Result Of Irreducible Inclusions Of Type Iii Lambda Factors, Lambda Is An Element Of (0,1), Phan Loi
Mathematics and Statistics Faculty Publications
Given an irreducible inclusion of factors with finite index N ⊂ M, where M is of type IIIλ1/m, N of type IIIλ1/n, 0 < λ < 1, and m,n are relatively prime positive integers, we will prove that if N ⊂ M satisfies a commuting square condition, then its structure can be characterized by using fixed point algebras and crossed products of automorphisms acting on the middle inclusion of factors associated with N ⊂ M. Relations between N ⊂ M and a certain G-kernel on subfactors are also discussed.
Evolution Of Mixed-State Regions In Type-Ii Superconductors, Chaocheng Huang, Tom Svobodny
Evolution Of Mixed-State Regions In Type-Ii Superconductors, Chaocheng Huang, Tom Svobodny
Mathematics and Statistics Faculty Publications
A mean-field model for dynamics of superconducting vortices is studied. The model, consisting of an elliptic equation coupled with a hyperbolic equation with discontinuous initial data, is formulated as a system of nonlocal integrodifferential equations. We show that there exists a unique classical solution in C1+α(Ω0) for all t > Ω, where Ω0 is the initial vortex region that is assumed to be in C1+α. Consequently, for any time t, the vortex region Ωt is of C1+α, and the vorticity is in Cα(Ωt).
Games To Teach Mathematical Modelling, James A. Powell, Jim S. Cangelosi, Ann M. Harris
Games To Teach Mathematical Modelling, James A. Powell, Jim S. Cangelosi, Ann M. Harris
Mathematics and Statistics Faculty Publications
We discuss the use of in-class games to create realistic situations for mathematical modelling. Two games are presented which are appropriate for use in post-calculus settings. The first game reproduces predator-prey oscillations and the second game simulates disease propagation in a mixing population. When used creatively these games encourage students to model realistic data and apply mathematical concepts to understanding the data.
Orthogonal Harmonic Analysis Of Fractal Measures, Palle Jorgensen, Steen Pedersen
Orthogonal Harmonic Analysis Of Fractal Measures, Palle Jorgensen, Steen Pedersen
Mathematics and Statistics Faculty Publications
We show that certain iteration systems lead to fractal measures admitting an exact orthogonal harmonic analysis.