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## DSpace/Manakin Repository

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• (Indiana University Department of Mathematics, 2010)
Classifying Single-Tile Periodic Tilings of the Real Line and Realizing the Deformation Spaces of Two and Three Square Periodic Tilings of the Plane through Combinatorial Structure.
• (Indiana University Department of Mathematics, 2010)
In this paper we study the links between Smale’s Mean Value Conjecture (SMVC) and the convergence of critical points under iteration. We begin by introducing SMVC and discussing what progress has been made towards ...
• (Indiana University Department of Mathematics, 2010)
• (Texas State University - San Marcos, 2012)
In this article, we are concerned with the existence of positive solutions for nonlinear fractional differential equation whose nonlinearity contains the first-order derivative, \displaylines{ D_{0^+}^{\alpha}u(t)+ ...
• (Society for Industrial and Applied Mathematics, 2012)
By the introduction of a generalized Evans function defined by an appropriate 2- modified Fredholm determinant, we give a simple proof of convergence in location and multiplicity of Hill's method for numerical approximation ...
• (De Gruyter, 2012)
We prove the existence of a family of embedded doubly periodic minimal surfaces of (quotient) genus g with orthogonal ends that generalizes the classical doubly periodic surface of Scherk and the genus-one Scherk surface ...
• (De Gruyter, 2012)
We introduce systems of objects and operators in linear monoidal categories called $\hat{\Psi}$-systems. A $\hat{\Psi}$-system satisfying several additional assumptions gives rise to a topological invariant of triples (a ...
• (Institute of Mathematical Statistics, 2012)
Let μ be a probability measure on the real line. In this paper we prove that there exists a decomposition $\mu = \mu_{0}\boxplus \mu_{1}\dots\boxplus \mu_{n}$such that $\mu_{0}$ is infinitely divisible, and $\mu_{i}$ is ...
• (American Institute of Mathematical Sciences, 2012)
We consider the Navier-Stokes equations of an incompressible fluid in a three dimensional curved domain with permeable walls in the limit of small viscosity. Using a curvilinear coordinate system, adapted to the boundary, ...
• (American Institute of Physics, 2012)
The determining modes for the two-dimensional incompressible Navier-Stokes equations (NSE) are shown to satisfy an ordinary differential equation (ODE) of the form $dv/dt = F(v)$, in the Banach space, $X$, of all bounded ...
• (American Mathematical Society, 2012)
We provide an improvement over Meshulam's bound on cap sets in $F^{N}_{3}$. We show that there exist universal $\epsilon > 0$ and $C > 0$ so that any cap set in $F^{N}_{3}$ has size at most $C\frac{3^{N}}{N^{1+e}}$. We ...
• (Mathematical Sciences Publishers, 2012)
For $R$ a discrete ring, $M$ a simplicial $R$–bimodule, and $X$ a simplicial set, we construct the Goodwillie Taylor tower of the reduced $K$–theory of parametrized endomorphisms $\widetilde{K}\bigg(R; \widetilde{M}\big[ ... • (Cambridge University Press, 2012) In this paper we extend the computation of the the typical curves of algebraic K-theory done by Lars Hesselholt and Ib Madsen to general tensor algebras. The models used allow us to determine the stages of the Taylor tower ... • (American Institute of Physics, 2012) The main objectives of this article are two-fold. First, we study the effect of the nonlinear Onsager mobility on the phase transition and on the well-posedness of the Cahn-Hilliard equation modeling a binary system. It ... • (Springer, 2012) This article is concerned with coupled coincidence points and common fixed points for two mappings in metric spaces and cone metric spaces. We first establish a coupled coincidence point theorem for two mappings and a ... • (Springer, 2012) In this article, we study coupled coincidence and coupled common fixed point theorems in ordered generalized metric spaces for nonlinear contraction condition related to a pair of altering distance functions. Our results ... • (American Institute of Mathematical Sciences, 2012) Let$f:S^{2} \rightarrow S^{2}$be a postcritically finite branched covering map without periodic branch points. We give necessary and sufficient algebraic conditions for$f$to be homotopic, relative to its postcritical ... • (Mathematical Sciences Publishers, 2012) Let C be the topological knot concordance group of knots$S^{1} \subset S^{3}\$ under connected sum modulo slice knots. Cochran, Orr and Teichner defined a filtration: \[C \supset F_{(0)} \supset F_{(0.5)} \supset F_{(1)} ...
• (Springer, 2012)
In this article, we shall show that the metrics defined by Feng and Mao, and Du are equivalent. We also provide some examples for one of the metrics.
• (Indiana University Department of Mathematics, 2010)
One of the important problems in population genetics is how long it takes for a gene to go to fixation (become established). A mutant gene in a given population will eventually be lost or established. The particular ...