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Articles 1 - 10 of 10
Full-Text Articles in Physical Sciences and Mathematics
Constructing Subdivision Rules From Rational Maps, J. W. Cannon, W. J. Floyd, W. R. Parry
Constructing Subdivision Rules From Rational Maps, J. W. Cannon, W. J. Floyd, W. R. Parry
Faculty Publications
This paper deepens the connections between critically finite rational maps and finite subdivision rules. The main theorem is that if f is a critically finite rational map with no periodic critical points, then for any sufficiently large integer n the iterate f is the subdivision map of a finite subdivision rule. This enables one to give essentially combinatorial models for the dynamics of such iterates.
Uniform Estimates For Eulerian-Lagrangian Methods For Singularly Perturbed Time-Dependent Problems, Hong Wang, Kaixin Wang
Uniform Estimates For Eulerian-Lagrangian Methods For Singularly Perturbed Time-Dependent Problems, Hong Wang, Kaixin Wang
Faculty Publications
We prove a priori optimal-order error estimates in a weighted energy norm for several Eulerian–Lagrangian methods for singularly perturbed, time-dependent convection-diffusion equations with full regularity. The estimates depend only on certain Sobolev norms of the initial and right-hand side data, but not on ε or any norm of the true solution, and so hold uniformly with respect to ε. We use the interpolation of spaces and stability estimates to derive an ε-uniform estimate for problems with minimal or intermediate regularity, where the convergence rates are proportional to certain Besov norms of the initial and right-hand side data.
Products Of Characters With Few Irreducible Constituents, Edith Adan-Bante
Products Of Characters With Few Irreducible Constituents, Edith Adan-Bante
Faculty Publications
We study the solvable groups G that have an irreducible character χ ∈ Irr(G) such that χ--χ has at most two nonprincipal irreducible constituents.
Squares Of Characters And Finite Groups, Edith Adan-Bante
Squares Of Characters And Finite Groups, Edith Adan-Bante
Faculty Publications
Let G be a finite group and χ be an irreducible complex character. We study the character χ2 in the case that χ(1) is a prime power.
Integral And Nonnegativity Preserving Approximations Of Functions, Jiu Ding, Larry Eifler, N. H. Rhee
Integral And Nonnegativity Preserving Approximations Of Functions, Jiu Ding, Larry Eifler, N. H. Rhee
Faculty Publications
In this paper we consider the problem of approximating a function by continuous piecewise linear functions that preserve the integral and nonnegativity of the original function. (c) 2006 Elsevier Inc. All rights reserved.
The Relaxed Game Chromatic Index Of K-Degenerate Graphs, Charles Dunn
The Relaxed Game Chromatic Index Of K-Degenerate Graphs, Charles Dunn
Faculty Publications
The (r, d)-relaxed coloring game is a two-player game played on the vertex set of a graph G. We consider a natural analogue to this game on the edge set of G called the (r, d)-relaxed edge-coloring game. We consider this game on trees and more generally, on k-degenerate graphs. We show that if G is k-degenerate with ∆(G) = ∆, then the first player, Alice, has a winning strategy for this game with r = ∆+k−1 and d≥2k2 + 4k.
On Strongly Asymptotic L(P) Spaces And Minimality, S J. Dilworth, V Ferenczi, Denka Kutzarova, E Odell
On Strongly Asymptotic L(P) Spaces And Minimality, S J. Dilworth, V Ferenczi, Denka Kutzarova, E Odell
Faculty Publications
No abstract provided.
Playing Games To Build Understanding, Michele Carnahan, Bridgette Stevens
Playing Games To Build Understanding, Michele Carnahan, Bridgette Stevens
Faculty Publications
I am fortunate. I teach from Investigations in Number, Data, and Space [TERC] (1996), a standards-based elementary mathematics curriculum. My evolution from teaching in a traditional teacher-centered approach to one that supports a student-centered community of learners has been a slow and gradual process during the past six years of teaching. Fortunately, through experience, professional development, and graduate level courses, I have come to appreciate the conceptual understanding students acquire from learning mathematics via a student-centered approach and how playing games is an effective instructional strategy for learning mathematics. As intended by the authors of Investigations and envisioned by the …
Counting Pill Combinations, David R. Duncan, Bonnie H. Litwiller
Counting Pill Combinations, David R. Duncan, Bonnie H. Litwiller
Faculty Publications
Teachers are always on the lookout for problems which combine simple computation and related analyses. We shall present a medication setting which involves these elements.
On The Kauffman Bracket Skein Module Of The Quaternionic Manifold, Patrick M. Gilmer, John M. Harris
On The Kauffman Bracket Skein Module Of The Quaternionic Manifold, Patrick M. Gilmer, John M. Harris
Faculty Publications
We use recoupling theory to study the Kauffman bracket skein module of the quaternionic manifold over Z[A(+/- 1)] localized by inverting all the cyclotomic polynomials. We prove that the skein module is spanned by five elements. Using the quantum invariants of these skein elements and the Z(2)-homology of the manifold, we determine that they are linearly independent.