Blanchard, Philippe
Overview
Works:  128 works in 438 publications in 3 languages and 6,594 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor, Other, Translator, Contributor 
Classifications:  QA3, 530.15 
Publication Timeline
.
Most widely held works by
Philippe Blanchard
Stochastic processes, mathematics and physics : proceedings of the 1st BiBosSymposium, held in Bielefeld, West Germany, September
1015, 1984 by
BiBoSSymposium(
Book
)
55 editions published between 1985 and 1987 in 3 languages and held by 732 WorldCat member libraries worldwide
This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics. Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms
55 editions published between 1985 and 1987 in 3 languages and held by 732 WorldCat member libraries worldwide
This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics. Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms
Dynamics and processes : proceedings of the Third Encounter in Mathematics and Physics, held in Bielefeld, Germany, Nov. 30
Dec. 4, 1981 by
Philippe Blanchard(
Book
)
30 editions published between 1983 and 2008 in 3 languages and held by 403 WorldCat member libraries worldwide
30 editions published between 1983 and 2008 in 3 languages and held by 403 WorldCat member libraries worldwide
Variational methods in mathematical physics : a unified approach by
Philippe Blanchard(
Book
)
26 editions published between 1982 and 2014 in 3 languages and held by 381 WorldCat member libraries worldwide
This textbook is a comprehensive introduction to variational methods. Its unifying aspect, based on appropriate concepts of compactness, is the study of critical points of functionals via direct methods. It shows the interactions between linear and nonlinear functional analysis. Addressing in particular the interests of physicists, the authors treat in detail the variational problems of mechanics and classical field theories, writing on local linear and nonlinear boundary and eigenvalue problems of important classes of nonlinear partial differential equations, and giving more recent results on ThomasFermi theory and on problems involving critical nonlinearities. This book is an excellentintroduction for students in mathematics and mathematical physics
26 editions published between 1982 and 2014 in 3 languages and held by 381 WorldCat member libraries worldwide
This textbook is a comprehensive introduction to variational methods. Its unifying aspect, based on appropriate concepts of compactness, is the study of critical points of functionals via direct methods. It shows the interactions between linear and nonlinear functional analysis. Addressing in particular the interests of physicists, the authors treat in detail the variational problems of mechanics and classical field theories, writing on local linear and nonlinear boundary and eigenvalue problems of important classes of nonlinear partial differential equations, and giving more recent results on ThomasFermi theory and on problems involving critical nonlinearities. This book is an excellentintroduction for students in mathematics and mathematical physics
Mathematical and physical aspects of stochastic mechanics by
Philippe Blanchard(
Book
)
13 editions published between 1987 and 2013 in English and held by 311 WorldCat member libraries worldwide
This lecture is meant as an introduction to stochastic mechanics for graduate students. The concepts and most of the statements are formulated in precise and exact mathematical language. Nevertheless, the emphasis is on the physical concepts. The authors discuss thoroughly the aspects of stochastic mechanics in quantum mechanics, firstly as a way of quantization as proposed by E. Nelson and secondly, as a tool to give a more detailed description of microphysics within the framework of the standard form of quantum theory. Another part of their work treats stochastic mechanics as a general description of a class of dynamical systems disturbed by some isotropic translation invariant noise thus extending Nelson's theory within the framework of classical physics. The necessary tools like stochastic processes, in particular those used in mathematical physics, existence and construction of diffusion processes as well as stochastic variational principles are presented in detail. Here is certainly an excellent text on this important field of mathematical physics
13 editions published between 1987 and 2013 in English and held by 311 WorldCat member libraries worldwide
This lecture is meant as an introduction to stochastic mechanics for graduate students. The concepts and most of the statements are formulated in precise and exact mathematical language. Nevertheless, the emphasis is on the physical concepts. The authors discuss thoroughly the aspects of stochastic mechanics in quantum mechanics, firstly as a way of quantization as proposed by E. Nelson and secondly, as a tool to give a more detailed description of microphysics within the framework of the standard form of quantum theory. Another part of their work treats stochastic mechanics as a general description of a class of dynamical systems disturbed by some isotropic translation invariant noise thus extending Nelson's theory within the framework of classical physics. The necessary tools like stochastic processes, in particular those used in mathematical physics, existence and construction of diffusion processes as well as stochastic variational principles are presented in detail. Here is certainly an excellent text on this important field of mathematical physics
Mathematical methods in physics : distributions, Hilbert space operators, and variational methods by
Philippe Blanchard(
Book
)
15 editions published between 2002 and 2013 in English and held by 242 WorldCat member libraries worldwide
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a selfcontained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. A comprehensive bibliography and index round out the work. Key Topics: Part I: A brief introduction to (Schwartz) distribution theory; Elements from the theories of ultra distributions and hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties of and basic properties for distributions are developed with applications to constant coefficient ODEs and PDEs; the relation between distributions and holomorphic functions is developed as well. * Part II: Fundamental facts about Hilbert spaces and their geometry. The theory of linear (bounded and unbounded) operators is developed, focusing on results needed for the theory of Schr"dinger operators. The spectral theory for selfadjoint operators is given in some detail. * Part III: Treats the direct methods of the calculus of variations and their applications to boundary and eigenvalueproblems for linear and nonlinear partial differential operators, concludes with a discussion of the HohenbergKohn variational principle. * Appendices: Proofs of more general and deeper results, including completions, metrizable Hausdorff locally convex topological vector spaces, Baire's theorem and its main consequences, bilinear functionals. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines
15 editions published between 2002 and 2013 in English and held by 242 WorldCat member libraries worldwide
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a selfcontained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. A comprehensive bibliography and index round out the work. Key Topics: Part I: A brief introduction to (Schwartz) distribution theory; Elements from the theories of ultra distributions and hyperfunctions are given in addition to some deeper results for Schwartz distributions, thus providing a rather comprehensive introduction to the theory of generalized functions. Basic properties of and basic properties for distributions are developed with applications to constant coefficient ODEs and PDEs; the relation between distributions and holomorphic functions is developed as well. * Part II: Fundamental facts about Hilbert spaces and their geometry. The theory of linear (bounded and unbounded) operators is developed, focusing on results needed for the theory of Schr"dinger operators. The spectral theory for selfadjoint operators is given in some detail. * Part III: Treats the direct methods of the calculus of variations and their applications to boundary and eigenvalueproblems for linear and nonlinear partial differential operators, concludes with a discussion of the HohenbergKohn variational principle. * Appendices: Proofs of more general and deeper results, including completions, metrizable Hausdorff locally convex topological vector spaces, Baire's theorem and its main consequences, bilinear functionals. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines
Decoherence : theoretical, experimental, and conceptual problems : proceedings of a workshop held at Bielefeld, Germany, 1014
November 1998 by
Philippe Blanchard(
Book
)
16 editions published between 2000 and 2011 in English and German and held by 214 WorldCat member libraries worldwide
In this book the process of decoherence is reviewed from both the theoretical and the experimental physicist's point of view. Implications of this important concept for fundamental problems of quantum theory and for chemistry and biology are also given. This broad review of decoherence addresses researchers and graduate students. It could also be used in seminar work
16 editions published between 2000 and 2011 in English and German and held by 214 WorldCat member libraries worldwide
In this book the process of decoherence is reviewed from both the theoretical and the experimental physicist's point of view. Implications of this important concept for fundamental problems of quantum theory and for chemistry and biology are also given. This broad review of decoherence addresses researchers and graduate students. It could also be used in seminar work
Quantum future : from Volta and Como to the present and beyond : proceedings of the Xth Max Born Symposium held in Przesieka,
Poland, 2427 September 1997 by Max Born Symposium(
Book
)
14 editions published in 1999 in English and held by 196 WorldCat member libraries worldwide
This volume presents detailed discussions of a number of unsolved conceptual and technical issues arising, in particular, in the foundations of quantum theory and the philosophy of science. The 14 contributions capture a wide variety of viewpoints and backgrounds. Some chapters deal primarily with the main experimental issues; others focus on theoretical and philosophical questions. In addition, attempts are made to systematically analyze ways in which quantum physics can be connected to the neurosciences and consciousness research
14 editions published in 1999 in English and held by 196 WorldCat member libraries worldwide
This volume presents detailed discussions of a number of unsolved conceptual and technical issues arising, in particular, in the foundations of quantum theory and the philosophy of science. The 14 contributions capture a wide variety of viewpoints and backgrounds. Some chapters deal primarily with the main experimental issues; others focus on theoretical and philosophical questions. In addition, attempts are made to systematically analyze ways in which quantum physics can be connected to the neurosciences and consciousness research
Stochastic processes and their applications in mathematics and physics by
Sergio Albeverio(
Book
)
12 editions published between 1990 and 1991 in English and held by 156 WorldCat member libraries worldwide
'Et moi ..., si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt\.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. :; 'One service logic has rendered com puter science .. :; 'One service category theory has rendered mathematics .. :. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
12 editions published between 1990 and 1991 in English and held by 156 WorldCat member libraries worldwide
'Et moi ..., si j'avait su comment en revenIT, One service mathematics has rendered the je n'y serais point allt\.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. :; 'One service logic has rendered com puter science .. :; 'One service category theory has rendered mathematics .. :. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series
Stochastics, algebra, and analysis in classical and quantum dynamics : proceedings of the IVth FrenchGerman Encounter on
Mathematics and Physics, CIRM, Marseille, France, February/March 1988 by
Sergio Albeverio(
Book
)
14 editions published in 1990 in English and held by 148 WorldCat member libraries worldwide
'Et moi, "'f si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile':' human race. It has put common sense back Jules Verne where it belongs, 011 the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science ... '; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series_ This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote ''Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches
14 editions published in 1990 in English and held by 148 WorldCat member libraries worldwide
'Et moi, "'f si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aile':' human race. It has put common sense back Jules Verne where it belongs, 011 the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be able to do something with it. Eric T. Bell o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science ... '; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series_ This series, Mathematics and Its Applications, started in 1977. Now that over one hundred volumes have appeared it seems opportune to reexamine its scope. At the time I wrote ''Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the 'tree' of knowledge of mathematics and related fields does not grow only by putting forth new branches
Trends and developments in the eighties : Bielefeld Encounters in Mathematics and Physics IV and V by Bielefeld Encounters in Mathematics and Physics(
Book
)
12 editions published in 1985 in English and held by 138 WorldCat member libraries worldwide
12 editions published in 1985 in English and held by 138 WorldCat member libraries worldwide
Multiscale methods in quantum mechanics : theory and experiment by
Philippe Blanchard(
Book
)
9 editions published in 2004 in English and held by 114 WorldCat member libraries worldwide
"The book is aimed at mathematical physicists, theoretical physicists, applied mathematicians, and experimental physicists working in such areas as decoherence, quantum information, and quantum optics."Jacket
9 editions published in 2004 in English and held by 114 WorldCat member libraries worldwide
"The book is aimed at mathematical physicists, theoretical physicists, applied mathematicians, and experimental physicists working in such areas as decoherence, quantum information, and quantum optics."Jacket
Droit, religion et société dans le Code Théodosien Troisièmes Journées d'étude sur le Code Théodosien, Neuchâtel,
1517 février 2007 by Journées d'etude sur le Code Théodosien(
Book
)
7 editions published between 2009 and 2010 in French and held by 102 WorldCat member libraries worldwide
7 editions published between 2009 and 2010 in French and held by 102 WorldCat member libraries worldwide
Mathematical analysis of urban spatial networks by
Philippe Blanchard(
Book
)
16 editions published between 2008 and 2010 in English and held by 90 WorldCat member libraries worldwide
"The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval Cierman cities, the webs of city canals in Amster dam and Venice; and a modern urban structure such as found in Manhattan." "Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers."Jacket
16 editions published between 2008 and 2010 in English and held by 90 WorldCat member libraries worldwide
"The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval Cierman cities, the webs of city canals in Amster dam and Venice; and a modern urban structure such as found in Manhattan." "Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers."Jacket
Random walks and diffusions on graphs and databases : an introduction by
Philippe Blanchard(
Book
)
13 editions published between 2011 and 2013 in English and held by 64 WorldCat member libraries worldwide
Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (M
13 editions published between 2011 and 2013 in English and held by 64 WorldCat member libraries worldwide
Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (M
Distributionen und Hilbertraumoperatoren : Mathematische Methoden der Physik by
Philippe Blanchard(
Book
)
4 editions published in 1993 in German and English and held by 61 WorldCat member libraries worldwide
Das Buch bietet eine Einführung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschäftigt sich mit der Theorie der Distributionen und vermittelt daneben einige Grundbegriffe der linearen Funktionalanalysis. Der zweite Teil baut darauf auf und gibt eine auf das Wesentliche beschränkte Einführung in die Theorie der linearen Operatoren in HilbertRäumen. Beide Teile werden von je einer Übersicht begleitet, die die zentralen Ideen und Begriffe knapp erläutert und den Inhalt kurz beschreibt. In den Anhängen werden einige grundlegende Konstruktionen und Konzepte der Funktionalanalysis dargestellt und wichtige Konsequenzen entwickelt
4 editions published in 1993 in German and English and held by 61 WorldCat member libraries worldwide
Das Buch bietet eine Einführung in die zum Studium der Theoretischen Physik notwendigen mathematischen Grundlagen. Der erste Teil des Buches beschäftigt sich mit der Theorie der Distributionen und vermittelt daneben einige Grundbegriffe der linearen Funktionalanalysis. Der zweite Teil baut darauf auf und gibt eine auf das Wesentliche beschränkte Einführung in die Theorie der linearen Operatoren in HilbertRäumen. Beide Teile werden von je einer Übersicht begleitet, die die zentralen Ideen und Begriffe knapp erläutert und den Inhalt kurz beschreibt. In den Anhängen werden einige grundlegende Konstruktionen und Konzepte der Funktionalanalysis dargestellt und wichtige Konsequenzen entwickelt
The message of quantum science : attempts towards a synthesis by Message of Quantum Science  Attempts Towards a Synthesis (Conference)(
)
8 editions published in 2015 in English and held by 43 WorldCat member libraries worldwide
This collection of essays is above all intended to pay tribute to the fact that while QM today is a refined and incredibly successful instrument, many issues concerning the internal consistency and the interpretation of this theory are still not nearly as well understood as they ought to be. In addition, whenever possible these essays take the opportunity to link foundational issues to the many exciting developments that are often linked to major experimental and technological breakthroughs in exploiting the electromagnetic field and, in particular, its quantum properties and its interactions with matter, as well as to advances in solid state physics (such as new quantum Hall liquids, topological insulators and graphene). The present volume also focuses on various areas, including new interference experiments with very large molecules passing through doubleslits, which test the validity of the KochenSpecker theorem; new tests of the violation of Bell?s inequalities and the consequences of entanglement; new nondemolition measurements and tests of “wavefunction collapse” to name but a few. These experimental developments have raised many challenging questions for theorists, leading to a new surge of interest in the foundations of QM, which have puzzled physicists ever since this theory was pioneered almost ninety years ago. The outcome of a seminar program of the same name on foundational issues in quantum physics (QM), organized by the editors of this book, and addressing newcomers to the field and more seasoned specialists alike, this volume provides a pedagogically inspired snapshot view of many of the unresolved issues in the field of foundational QM
8 editions published in 2015 in English and held by 43 WorldCat member libraries worldwide
This collection of essays is above all intended to pay tribute to the fact that while QM today is a refined and incredibly successful instrument, many issues concerning the internal consistency and the interpretation of this theory are still not nearly as well understood as they ought to be. In addition, whenever possible these essays take the opportunity to link foundational issues to the many exciting developments that are often linked to major experimental and technological breakthroughs in exploiting the electromagnetic field and, in particular, its quantum properties and its interactions with matter, as well as to advances in solid state physics (such as new quantum Hall liquids, topological insulators and graphene). The present volume also focuses on various areas, including new interference experiments with very large molecules passing through doubleslits, which test the validity of the KochenSpecker theorem; new tests of the violation of Bell?s inequalities and the consequences of entanglement; new nondemolition measurements and tests of “wavefunction collapse” to name but a few. These experimental developments have raised many challenging questions for theorists, leading to a new surge of interest in the foundations of QM, which have puzzled physicists ever since this theory was pioneered almost ninety years ago. The outcome of a seminar program of the same name on foundational issues in quantum physics (QM), organized by the editors of this book, and addressing newcomers to the field and more seasoned specialists alike, this volume provides a pedagogically inspired snapshot view of many of the unresolved issues in the field of foundational QM
Mathematical methods in physics : distributions, Hilbert space operators, variational methods, and applications in quantum
physics by
Philippe Blanchard(
Book
)
17 editions published between 2003 and 2015 in English and held by 42 WorldCat member libraries worldwide
The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods. The text is divided into three main parts. Part I is a brief introduction to distribution theory, in which elements from the theories of ultradistributions and hyperfunctions are considered in addition to some deeper results for Schwartz distributions, thus providing a comprehensive introduction to the theory of generalized functions. Part II contains fundamental facts about Hilbert spaces and their geometry. The theory of linear operators, both bounded and unbounded, is developed, focusing on results needed for the theory of Schrödinger operators. Part III treats the direct methods of the calculus of variations and their applications to boundary and eigenvalueproblems for linear and nonlinear partial differential operators. The appendices contain proofs of more general and deeper results, including completions, basic facts about metrizable Hausdorff locally convex topological vector spaces, Baire's fundamental results and their main consequences, and bilinear functionals. Mathematical Methods in Physics is aimed at a broad community of graduate students in mathematics, mathematical physics, quantum information theory, physics and engineering, as well as researchers in these disciplines. Expanded content and relevant updates will make this new edition a valuable resource for those working in these disciplines
17 editions published between 2003 and 2015 in English and held by 42 WorldCat member libraries worldwide
The second edition of this textbook presents the basic mathematical knowledge and skills that are needed for courses on modern theoretical physics, such as those on quantum mechanics, classical and quantum field theory, and related areas. The authors stress that learning mathematical physics is not a passive process and include numerous detailed proofs, examples, and over 200 exercises, as well as hints linking mathematical concepts and results to the relevant physical concepts and theories. All of the material from the first edition has been updated, and five new chapters have been added on such topics as distributions, Hilbert space operators, and variational methods. The text is divided into three main parts. Part I is a brief introduction to distribution theory, in which elements from the theories of ultradistributions and hyperfunctions are considered in addition to some deeper results for Schwartz distributions, thus providing a comprehensive introduction to the theory of generalized functions. Part II contains fundamental facts about Hilbert spaces and their geometry. The theory of linear operators, both bounded and unbounded, is developed, focusing on results needed for the theory of Schrödinger operators. Part III treats the direct methods of the calculus of variations and their applications to boundary and eigenvalueproblems for linear and nonlinear partial differential operators. The appendices contain proofs of more general and deeper results, including completions, basic facts about metrizable Hausdorff locally convex topological vector spaces, Baire's fundamental results and their main consequences, and bilinear functionals. Mathematical Methods in Physics is aimed at a broad community of graduate students in mathematics, mathematical physics, quantum information theory, physics and engineering, as well as researchers in these disciplines. Expanded content and relevant updates will make this new edition a valuable resource for those working in these disciplines
Direction of time by
Sergio Albeverio(
Book
)
8 editions published in 2014 in English and held by 17 WorldCat member libraries worldwide
This edited book presents the problems of time and direction from an interdisciplinary point of view, concentrating in particular on the following relations:  Time and physics  Time, philosophy and psychology  Time, mathematics and information theory It is a unique contribution by philosophers and scientists who are active in mathematics, physics, biology, engineering, information theory and psychology. Questions such as the existence of a Big Bang, the neurobiological basis regarding the coexistence of free will and determinism, intercultural aspects of time, mathematical models of time, psychopathological features of time, and micro reversibility versus macroscopic irreversibility are studied. It also provides a truly interdisciplinary study of the problematic 'arrow of time'
8 editions published in 2014 in English and held by 17 WorldCat member libraries worldwide
This edited book presents the problems of time and direction from an interdisciplinary point of view, concentrating in particular on the following relations:  Time and physics  Time, philosophy and psychology  Time, mathematics and information theory It is a unique contribution by philosophers and scientists who are active in mathematics, physics, biology, engineering, information theory and psychology. Questions such as the existence of a Big Bang, the neurobiological basis regarding the coexistence of free will and determinism, intercultural aspects of time, mathematical models of time, psychopathological features of time, and micro reversibility versus macroscopic irreversibility are studied. It also provides a truly interdisciplinary study of the problematic 'arrow of time'
New methods and results in nonlinear field equations : proceedings of a conference held at the University of Bielefeld, Fed.
Rep. of Germany, 710 July 1987 by
Philippe Katerine(
Book
)
3 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
Quantum effects may be modelled by means of stochastic perturbation of nonlinear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of nonlinear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties (e.g. time decay properties) for nonlinear wave equations. This volume provides a good survey of presentday research in nonlinear problems of quantum theory for researchers and graduate students
3 editions published in 1989 in English and held by 5 WorldCat member libraries worldwide
Quantum effects may be modelled by means of stochastic perturbation of nonlinear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of nonlinear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties (e.g. time decay properties) for nonlinear wave equations. This volume provides a good survey of presentday research in nonlinear problems of quantum theory for researchers and graduate students
Towards a theoretical framework for analyzing complex linguistic networks by
Alexander Mehler(
Book
)
7 editions published between 2015 and 2016 in English and held by 3 WorldCat member libraries worldwide
The aim of this book is to advocate and promote network models of linguistic systems that are both based on thorough mathematical models and substantiated in terms of linguistics. In this way, the book contributes first steps towards establishing a statistical network theory as a theoretical basis of linguistic network analysis the boarder of the natural sciences and the humanities.This book addresses researchers who want to get familiar with theoretical developments, computational models and their empirical evaluation in the field of complex linguistic networks. It is intended to all those who are interested in statisticalmodels of linguistic systems from the point of view of network research. This includes all relevant areas of linguistics ranging from phonological, morphological and lexical networks on the one hand and syntactic, semantic and pragmatic networks on the other. In this sense, the volume concerns readers from many disciplines such as physics, linguistics, computer science and information science. It may also be of interest for the upcoming area of systems biology with which the chapters collected here share the view on systems from the point of view of network analysis
7 editions published between 2015 and 2016 in English and held by 3 WorldCat member libraries worldwide
The aim of this book is to advocate and promote network models of linguistic systems that are both based on thorough mathematical models and substantiated in terms of linguistics. In this way, the book contributes first steps towards establishing a statistical network theory as a theoretical basis of linguistic network analysis the boarder of the natural sciences and the humanities.This book addresses researchers who want to get familiar with theoretical developments, computational models and their empirical evaluation in the field of complex linguistic networks. It is intended to all those who are interested in statisticalmodels of linguistic systems from the point of view of network research. This includes all relevant areas of linguistics ranging from phonological, morphological and lexical networks on the one hand and syntactic, semantic and pragmatic networks on the other. In this sense, the volume concerns readers from many disciplines such as physics, linguistics, computer science and information science. It may also be of interest for the upcoming area of systems biology with which the chapters collected here share the view on systems from the point of view of network analysis
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Streit, Ludwig 1938 Other Author Editor
 Albeverio, Sergio Other Author Editor
 Brüning, Erwin
 Volchenkov, Dimitri
 Universität Bielefeld Zentrum für Interdisziplinäre Forschung
 BielefeldBochum Research Center Stochastics Other
 Combe, Philippe 1940
 Zheng, W. 1952
 Jadczyk, Arkadiusz Other
 Fröhlich, Jürg Editor
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