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Affine Density In Wavelet Analysis


Affine Density In Wavelet Analysis
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Affine Density In Wavelet Analysis


Affine Density In Wavelet Analysis
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Author : Gitta Kutyniok
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-07

Affine Density In Wavelet Analysis written by Gitta Kutyniok and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-07 with Mathematics categories.


This volume provides a thorough and comprehensive treatment of irregular wavelet frames. It introduces and employs a new notion of affine density as a highly effective tool for examining the geometry of sequences of time-scale indices. Coverage includes non-existence of irregular co-affine frames, the Nyquist phenomenon for wavelet systems, and approximation properties of irregular wavelet frames.



Structured Population Models In Biology And Epidemiology


Structured Population Models In Biology And Epidemiology
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Author : Pierre Magal
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-30

Structured Population Models In Biology And Epidemiology written by Pierre Magal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Mathematics categories.


In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.



Stochastic Calculus For Fractional Brownian Motion And Related Processes


Stochastic Calculus For Fractional Brownian Motion And Related Processes
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Author : Yuliya Mishura
language : en
Publisher: Springer
Release Date : 2008-04-12

Stochastic Calculus For Fractional Brownian Motion And Related Processes written by Yuliya Mishura and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-12 with Mathematics categories.


This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.



From Hahn Banach To Monotonicity


From Hahn Banach To Monotonicity
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Author : Stephen Simons
language : en
Publisher: Springer
Release Date : 2008-02-22

From Hahn Banach To Monotonicity written by Stephen Simons and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-22 with Mathematics categories.


This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.



Equilibrium States And The Ergodic Theory Of Anosov Diffeomorphisms


Equilibrium States And The Ergodic Theory Of Anosov Diffeomorphisms
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Author : Robert Edward Bowen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-18

Equilibrium States And The Ergodic Theory Of Anosov Diffeomorphisms written by Robert Edward Bowen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-18 with Mathematics categories.


For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."



S Minaire De Probabilit S Xlii


S Minaire De Probabilit S Xlii
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Author : Catherine Donati-Martin
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-29

S Minaire De Probabilit S Xlii written by Catherine Donati-Martin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-29 with Mathematics categories.


The tradition of specialized courses in the Séminaires de Probabilités is continued with A. Lejay's Another introduction to rough paths. Other topics from this 42nd volume range from the interface between analysis and probability to special processes, Lévy processes and Lévy systems, branching, penalization, representation of Gaussian processes, filtrations and quantum probability.



Mathematical Theory Of Feynman Path Integrals


Mathematical Theory Of Feynman Path Integrals
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Author : Sergio Albeverio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-05-30

Mathematical Theory Of Feynman Path Integrals written by Sergio Albeverio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-30 with Mathematics categories.


The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.



Lectures On Symplectic Geometry


Lectures On Symplectic Geometry
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Author : Ana Cannas da Silva
language : en
Publisher: Springer
Release Date : 2004-10-27

Lectures On Symplectic Geometry written by Ana Cannas da Silva and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-27 with Mathematics categories.


The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.



Simplicial Complexes Of Graphs


Simplicial Complexes Of Graphs
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Author : Jakob Jonsson
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-15

Simplicial Complexes Of Graphs written by Jakob Jonsson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-15 with Mathematics categories.


A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.



Mathematical Epidemiology


Mathematical Epidemiology
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Author : Fred Brauer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-30

Mathematical Epidemiology written by Fred Brauer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Medical categories.


Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).