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  • Haïssinsky, P.; Pilgrim, K.M. (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 ...
  • Lindenstrauss, A.; McCarthy, R. (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[ ...
  • Johnson, M.A.; Zumbrun, K. (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 ...
  • Williams, J.D. (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 ...
  • Weber, M.; Wolf, M. (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 ...
  • Geer, N.; Kashaev, R.; Turaev, V. (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 ...
  • Cheng, C.; Feng, Z.; Su, Y. (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)+ ...
  • Asadi, M.; Rhoades, B.E.; Soleimani, H. (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.
  • Lindenstrauss, A.; McCarthy, R. (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 ...
  • Gie, G.-M.; Makram, H.; Tema,, R. (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, ...
  • Cho, Y.J.; Rhoades, B.E.; Saadat, R.; Samet, B.; Shatanawi, W. (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 ...
  • Long, W.; Rhoades, B.E.; Rajović, M. (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 ...
  • Powell, M. (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)} ...
  • Liu, H.; Sengul, T.; Wang, S. (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 ...
  • Katz, N.H.; Bateman, M. (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 ...
  • Foias, C.; Jolly, M.S.; Kravchenko, R.; Titi, E.S. (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 ...
  • Anselmi, Michael (Indiana University Department of Mathematics, 2010)
  • Messan, Komi (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 ...
  • Kammer, Elizabeth (Indiana University Department of Mathematics, 2010)
    In natural logic, the goal is to create a system of logic that is as sim- ilar to natural language as possible. In order to build a natural logic, simple sentence forms are considered, slowly incorporating more ...
  • Ghadyali, Hamza; Dowlin, Nathan (Indiana University Department of Mathematics, 2010)
    Given a CAT(0) group G acting geometrically on a proper CAT(0) space, we attempt to demonstrate that any torsion subgroup of G has nite cardinality.

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