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2007

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Articles 91 - 120 of 541

Full-Text Articles in Mathematics

Constructing Subdivision Rules From Rational Maps, J. W. Cannon, W. J. Floyd, W. R. Parry Aug 2007

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.


The Barycenter Of The Numerical Range Of A Matrix, Sean A. Broughton, Roger G. Lautzenheiser, Thomas Werne Aug 2007

The Barycenter Of The Numerical Range Of A Matrix, Sean A. Broughton, Roger G. Lautzenheiser, Thomas Werne

Mathematical Sciences Technical Reports (MSTR)

The numerical range W(A) of an nxn matrix A is the totality of the scalar products <Ax,x> as x varies over all unit vectors in Cn The barycenter (center of mass) of the numerical range is defined geometrically as the center of mass of W(A) considered as a planar lamina with variable density and also as a limit of sample averages (<Ax1,x1>+...+<AxN,xN>)/N. Under a wide range the sampling schemes it is shown that the barycenter is the average of the spectrum …


Analysis Of The China Factor Effect On The International Dry Bulk Shipping Market, Xiaoxiao Bi Aug 2007

Analysis Of The China Factor Effect On The International Dry Bulk Shipping Market, Xiaoxiao Bi

World Maritime University Dissertations

No abstract provided.


Countermeasures For The Chemicals Transportation Of The Zhangjiagang Port, Qiangqiang Miao Aug 2007

Countermeasures For The Chemicals Transportation Of The Zhangjiagang Port, Qiangqiang Miao

World Maritime University Dissertations

No abstract provided.


The Study On The Vessel Size Of Container Transport In The Yangtze River, Chenchen Peng Aug 2007

The Study On The Vessel Size Of Container Transport In The Yangtze River, Chenchen Peng

World Maritime University Dissertations

No abstract provided.


Research And Analysis On The Competence Of China’S Chemical Shipping Enterprise, Huan Yu Aug 2007

Research And Analysis On The Competence Of China’S Chemical Shipping Enterprise, Huan Yu

World Maritime University Dissertations

No abstract provided.


The Analysis And Forecast Of Cargo Throughput In Inland Waterway Port Of Baoshan District, Shanghai, Xiang Gu Aug 2007

The Analysis And Forecast Of Cargo Throughput In Inland Waterway Port Of Baoshan District, Shanghai, Xiang Gu

World Maritime University Dissertations

No abstract provided.


A Contrastive Analysis On Logistics Costs Between China And Some Developed Countries, Xuanxuan Wu Aug 2007

A Contrastive Analysis On Logistics Costs Between China And Some Developed Countries, Xuanxuan Wu

World Maritime University Dissertations

No abstract provided.


The Study On The Empty Container Repositioning Of Container Leasing Company, Yi Zhao Aug 2007

The Study On The Empty Container Repositioning Of Container Leasing Company, Yi Zhao

World Maritime University Dissertations

No abstract provided.


The Analysis Of The Bullwhip Effect In Chinese Medicine Supply Chain, Haiming Zhu Aug 2007

The Analysis Of The Bullwhip Effect In Chinese Medicine Supply Chain, Haiming Zhu

World Maritime University Dissertations

No abstract provided.


New Integrable Hierarchy, Its Parametric Solutions, Cuspons, One-Peak Solitons, And M/W-Shape Peak Solitons, Zhijun Qiao Aug 2007

New Integrable Hierarchy, Its Parametric Solutions, Cuspons, One-Peak Solitons, And M/W-Shape Peak Solitons, Zhijun Qiao

School of Mathematical & Statistical Sciences Faculty Publications

In this paper, we propose a new completely integrable hierarchy. Particularly in the hierarchy we draw two new soliton equations: 1 mt= 1 2 1/m2xxx− 1 2 1/m2 x; 2 mt+mx u2−ux 2+2m2ux=0, m=u−uxx. The first one is the second positive member in the hierarchy while the second one is the second negative member in the hierarchy. Both equations can be derived from the two-dimensional Euler equation by using the approximation procedure. All equations in the hierarchy are proven to have bi-Hamiltonian operators and Lax pairs through solving a crucial matrix equation. Moreover, we develop parametric solutions of the entire …


Optimization And Feedback Design Of State-Constrained Parabolic Systems, Boris S. Mordukhovich Aug 2007

Optimization And Feedback Design Of State-Constrained Parabolic Systems, Boris S. Mordukhovich

Mathematics Research Reports

The paper is devoted to optimal control and feedback design of stateconstrained parabolic systems in uncertainty conditions. Problems of this type are among the most challenging and difficult in dynamic optimization for any kind of dynamical systems. We pay the main attention to considering linear multidimensional parabolic'systems with Dirichlet boundary controls and pointwise state constraints, while the methods developed in this study are applicable to other kinds of boundary controls and dynamical systems of the parabolic type. The feedback design problem is formulated in the minimax sense to ensure stabilization of transients within the prescribed diapason and robust stability of …


A Fixed Point Theorem For The Infinite-Dimensional Simplex, Douglas Rizzolo '08, Francis E. Su Aug 2007

A Fixed Point Theorem For The Infinite-Dimensional Simplex, Douglas Rizzolo '08, Francis E. Su

All HMC Faculty Publications and Research

We define the infinite-dimensional simplex to be the closure of the convex hull of the standard basis vectors in R∞, and prove that this space has the fixed point property: any continuous function from the space into itself has a fixed point. Our proof is constructive, in the sense that it can be used to find an approximate fixed point; the proof relies on elementary analysis and Sperner's lemma. The fixed point theorem is shown to imply Schauder's fixed point theorem on infinite-dimensional compact convex subsets of normed spaces.


A New Framework For Grading, Kris H. Green, W. Allen Emerson Aug 2007

A New Framework For Grading, Kris H. Green, W. Allen Emerson

Mathematical and Computing Sciences Faculty/Staff Publications

Grading is one of the least liked, least understood and least considered aspects of teaching. After years of work, we have developed a grading system that is quite different from traditional and reformed approaches to grading and which meaningfully incorporates and integrates the collection of evidence, the evaluation of evidence, and the reporting of judgments about that evidence. This system satisfies the requirements of good grading system and answers many of the problems faced by more traditional methods by substantially changing the way in which grade information is aggregated, resulting in a final course grade that aligns qualitative evaluation with …


Infinitely Many Radial Solutions For A Sub-Super Critical Dirichlet Boundary Value Problem In A Ball, Alfonso Castro, John Kwon, Chee Meng Tan '07 Aug 2007

Infinitely Many Radial Solutions For A Sub-Super Critical Dirichlet Boundary Value Problem In A Ball, Alfonso Castro, John Kwon, Chee Meng Tan '07

All HMC Faculty Publications and Research

We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity g(u) that grows subcritically for u positive and supercritically for u negative.


Qualitative Behavior Of Dynamical Vector Fields, Roger Dale Kirby Aug 2007

Qualitative Behavior Of Dynamical Vector Fields, Roger Dale Kirby

Mathematics Dissertations - Archive

Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane defined by two distinct negative eigenvalues. Also in the deterministic class I offer a method for finding closed-form primitives for a great variety of differential forms, through a reduction process facilitated by a Lyapunov-type Energy function. Many of these forms lie in classes which heretofore have not been shown to be solvable in closed form. The last part of this work outlines the appropriate procedures for …


Local Approximations For Branching Particle Systems, Vladimir Vinogradov Aug 2007

Local Approximations For Branching Particle Systems, Vladimir Vinogradov

Communications on Stochastic Analysis

No abstract provided.


Newton's Method Obeys Benford's Law, Arno Berger, Theodore P. Hill Aug 2007

Newton's Method Obeys Benford's Law, Arno Berger, Theodore P. Hill

Research Scholars in Residence

No abstract provided.


Space Regularity Of Stochastic Heat Equations Driven By Irregular Gaussian Processes, Oana Mocioalca, Frederi Viens Aug 2007

Space Regularity Of Stochastic Heat Equations Driven By Irregular Gaussian Processes, Oana Mocioalca, Frederi Viens

Communications on Stochastic Analysis

No abstract provided.


Generators Of Dynamical Systems On Hilbert Modules, Gholamreza Abbaspour Tabadkan, Michael Skeide Aug 2007

Generators Of Dynamical Systems On Hilbert Modules, Gholamreza Abbaspour Tabadkan, Michael Skeide

Communications on Stochastic Analysis

No abstract provided.


Quantum Stochastic Process Associated With Quantum Lévy Laplacian, Un Cig Ji, Habib Ouerdiane, Kimiaki Saitô Aug 2007

Quantum Stochastic Process Associated With Quantum Lévy Laplacian, Un Cig Ji, Habib Ouerdiane, Kimiaki Saitô

Communications on Stochastic Analysis

No abstract provided.


Markov Semigroups And Groups Of Operators, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli Aug 2007

Markov Semigroups And Groups Of Operators, Jerome A Goldstein, Rosa Maria Mininni, Silvia Romanelli

Communications on Stochastic Analysis

No abstract provided.


Convex Comparison Inequalities For Exponential Jump-Diffusion Processes, Jean-Christophe Breton, Nicolas Privault Aug 2007

Convex Comparison Inequalities For Exponential Jump-Diffusion Processes, Jean-Christophe Breton, Nicolas Privault

Communications on Stochastic Analysis

No abstract provided.


Martingale Representation For Contingent Claims With Regime Switching, Robert J Elliott, Tak Kuen Siu, Hailiang Yang Aug 2007

Martingale Representation For Contingent Claims With Regime Switching, Robert J Elliott, Tak Kuen Siu, Hailiang Yang

Communications on Stochastic Analysis

No abstract provided.


White Noise Approach To The Itô Formula For The Stochastic Heat Equation, Alberto Lanconelli Aug 2007

White Noise Approach To The Itô Formula For The Stochastic Heat Equation, Alberto Lanconelli

Communications on Stochastic Analysis

No abstract provided.


Quantum Stochastic Calculus On Interacting Fock Spaces: Semimartingale Estimates And Stochastic Integral, Vitonofrio Crismale Aug 2007

Quantum Stochastic Calculus On Interacting Fock Spaces: Semimartingale Estimates And Stochastic Integral, Vitonofrio Crismale

Communications on Stochastic Analysis

No abstract provided.


Parameter Estimation For Ornstein-Uhlenbeck Processes Driven By Α-Stable Lévy Motions, Yaozhong Hu, Hongwei Long Aug 2007

Parameter Estimation For Ornstein-Uhlenbeck Processes Driven By Α-Stable Lévy Motions, Yaozhong Hu, Hongwei Long

Communications on Stochastic Analysis

No abstract provided.


Betti Numbers And Degree Bounds For Some Linked Zero-Schemes, Leah Gold, Hal Schenck, Hema Srinivasan Aug 2007

Betti Numbers And Degree Bounds For Some Linked Zero-Schemes, Leah Gold, Hal Schenck, Hema Srinivasan

Mathematics and Statistics Faculty Publications

In [J. Herzog, H. Srinivasan, Bounds for multiplicities, Trans. Amer. Math. Soc. 350 (1998) 2879–2902], Herzog and Srinivasan study the relationship between the graded Betti numbers of a homogeneous ideal II in a polynomial ring RR and the degree of II. For certain classes of ideals, they prove a bound on the degree in terms of the largest and smallest Betti numbers, generalizing results of Huneke and Miller in [C. Huneke, M. Miller, A note on the multiplicity of Cohen–Macaulay algebras with pure resolutions, Canad. J. Math. 37 (1985) 1149–1162]. The bound is conjectured to hold in general; we study …


Transient And Periodic Solution To The Time-Inhomogeneous Quasi-Birth Death Process, Barbara Haas Margolius Aug 2007

Transient And Periodic Solution To The Time-Inhomogeneous Quasi-Birth Death Process, Barbara Haas Margolius

Mathematics and Statistics Faculty Publications

We derive the transient distribution and periodic family of asymptotic distributions and the transient and periodic moments for the quasi-birth-and-death processes with time-varying periodic rates. The distributions and moments are given in terms of integral equations involving the related random-walk process. The method is a straight-forward application of generating functions.


Decompositions Of Signed-Graphic Matroids, Dan Slilaty, Hongxun Qin Aug 2007

Decompositions Of Signed-Graphic Matroids, Dan Slilaty, Hongxun Qin

Mathematics and Statistics Faculty Publications

We give a decomposition theorem for signed graphs whose frame matroids are binary and a decomposition theorem for signed graphs whose frame matroids are quaternary.