Physical Sciences and Mathematics Commons^™

Murnaghan-Nakayama Rules For Characters Of Iwahori-Hecke Algebras Of Classical Type, Thomas Halverson, A. Ram

Thomas M. Halverson

No abstract provided.

Existence And Bifurcation Of The Positive Solutions For A Semilinear Equation With Critical Exponent, Yinbin Deng, Yi Li

Yi Li

In this paper, we consider the semilinear elliptic equation[formula]Forp=2N/(N−2), we show that there exists a positive constantμ*>0 such that (∗)_μpossesses at least one solution ifμ∈(0, μ*) and no solutions ifμ>μ*. Furthermore, (∗)_μpossesses a unique solution whenμ=μ*, and at least two solutions whenμ∈(0, μ*) and 2<NN⩾6, under some monotonicity conditions onf((1.6)) we show that there exist two constants 0<μ_**⩽μ**<μ* such that problem (∗)_{μ …}

Characters Of The Centralizer Algebras Of Mixed Tensor Representations Of Gl(R,C) And The Quantum Group U-Q(Gl(R,C)), Thomas Halverson

Thomas M. Halverson

No abstract provided.

Subthreshold Dynamics In Periodically Stimulated Squid Giant Axons, Daniel Kaplan, J. R. Clay, T. Manning, L. Glass, M. R. Guevara, A. Shrier

Daniel T. Kaplan

No abstract provided.

Signal Separation By Nonlinear Projections: The Fetal Ecg, T. Schreiber, Daniel Kaplan

Daniel T. Kaplan

No abstract provided.

Nonlinear Noise Reduction For Electrocardiograms, Daniel T. Kaplan, T. Schreiber

Daniel T. Kaplan

No abstract provided.

Nonlinear Deformed Su(2) Algebras Involving Two Deforming Function, Andrei Ludu

Andrei Ludu

No abstract provided.

The Inverse Problem Of The Calculus Of Variations For Scala Fourth Order Ordinary Differential Equations, Mark E. Fels

Mark Eric Fels

A simple invariant characterization of the scalar fourth-order ordinary differential equations which admit a variational multiplier is given. The necessary and sufficient conditions for the existence of a multiplier are expressed in terms of the vanishing of two relative invariants which can be associated with any fourth-order equation through the application of Cartan's equivalence method. The solution to the inverse problem for fourth-order scalar equations provides the solution to an equivalence problem for second-order Lagrangians, as well as the precise relationship between the symmetry algebra of a variational equation and the divergence symmetry algebra of the associated Lagrangian.

The Spinor Representation Of Surfaces In Space, Robert Kusner, Nick Schmitt

Robert Kusner

The spinor representation is developed for conformal immersions of Riemann surfaces into space. We adapt the approach of Dennis Sullivan [32], which treats a spin structure on a Riemann surface M as a complex line bundle S whose square is the canonical line bundle K = T(M). Given a conformal immersion of M into R3, the unique spin strucure on S2 pulls back via the Gauss map to a spin structure S on M, and gives rise to a pair of smooth sections (s1, s2) of S. Conversely, any pair of sections of S generates a (possibly periodic) conformal immersion …

Moduli Spaces Of Embedded Constant Mean Curvature Surfaces With Few Ends And Special Symmetry, Karsten Grosse-Brauckmann, Robert Kusner

Robert Kusner

We give necessary conditions on complete embedded cmc surfaces with three or four ends subject to reflection symmetries. The respective submoduli spaces are twodimensional varieties in the moduli spaces of general cmc surfaces. We characterize fundamental domains of our cmc surfaces by associated great circle polygons in the three-sphere.

The Moduli Space Of Complete Embedded Constant Mean Curvature Surfaces, Robert Kusner, Rafe Mazzeo, Daniel Pollack

Robert Kusner

We examine the space of surfaces in $\RR^{3}$ which are complete, properly embedded and have nonzero constant mean curvature. These surfaces are noncompact provided we exclude the case of the round sphere. We prove that the space $\Mk$ of all such surfaces with k ends (where surfaces are identified if they differ by an isometry of $\RR^{3}$) is locally a real analytic variety. When the linearization of the quasilinear elliptic equation specifying mean curvature equal to one has no L2−nullspace we prove that $\Mk$ is locally the quotient of a real analytic manifold of dimension 3k−6 by a finite group …

The Shape Of Self-Motion Perception. Ii. Framework And Principles For Simple And Complex Motions, Jan E. Holly, Gin Mccollum

Gin McCollum

There have been numerous experimental studies on human perception and misperception of self-motion and orientation relative to the earth, each focusing on one or a few types of motion. We present a formal framework encompassing many types of motion and including all angular and linear components of velocity and acceleration. Using a mathematically rigorous presentation, the framework defines the space of all possible motions, the map from motion to sensor status, the space containing each possible status of the sensors, and the map from sensor status to perceived motion. The shape of the full perceptual map from actual motion to …

The Stomatogastric Nervous System: A Formal Approach, Patrick D. Roberts, Gin Mccollum

Gin McCollum

A discrete mathematical formalism (d-space) which is specifically designed to investigate discrete aspects of behavior is applied to the foregut of decapod crustacea. This approach differs from continuous modeling techniques in that the analysis determines a structure in which the observed behavior of the foregut is constrained. A notation for the implementation of the formalism is developed as well as a coordinate system natural to the functioning of the gastric mill. The formalism is used to organize previous observations that suggest potential courses of further experimental investigation. A detailed analysis of observed chewing modes of the gastric mill is presented, …

Detecting Unstable Periodic Orbits In Chaotic Experimental Data, P. So, S. Schi, E. Ott, Daniel T. Kaplan, T. Sauer, C. Grebogi

Daniel T. Kaplan

No abstract provided.

The Borwein Conjecture And Partitions With Prescribed Hook Differences, David Bressoud

David Bressoud

No abstract provided.

Decidability Of The Two-Quantifier Theory Of The Recursively Enumerable Weak Truth-Table Degrees And Other Distributive Upper Semi-Lattices, Klaus Ambos-Spies, Peter A. Fejer, Steffen Lempp, Manuel Lerman

Peter Fejer

We give a decision procedure for the ∀∃-theory of the weak truth-table (wtt) degrees of the recursively enumerable sets. The key to this decision procedure is a characterization of the finite lattices which can be embedded into the r.e. wtt-degrees by a map which preserves the least and greatest elements: a finite lattice has such an embedding if and only if it is distributive and the ideal generated by its cappable elements and the filter generated by its cuppable elements are disjoint. We formulate general criteria that allow one to conclude that a distributive upper semi-lattice has a decidable two-quantifier …

Secrets Of The Madelung Constant, Stan Wagon

Stan Wagon, Retired

No abstract provided.

Polynomials For Radicals, Stan Wagon

Stan Wagon, Retired

No abstract provided.

The Magic Of Imaginary Factoring, Stan Wagon

Stan Wagon, Retired

No abstract provided.

Animating Calculus: Mathematica Notebooks For The Laboratory, E. Packel, Stan Wagon

Stan Wagon, Retired

No abstract provided.

An Almost Periodic Function Of Several Variables With No Local Minimum, Gregory S. Spradlin

Gregory S. Spradlin

Su(1,1) Algebraic Description Of One-Dimensional Potentials Within The R-Matrix Theory, Andrei Ludu

Andrei Ludu

No abstract provided.

Generalization Kdv Equation For Fluid Dynamics And Quantum Algebras, Andrei Ludu

Andrei Ludu

No abstract provided.