Blanchard, Philippe
Overview
Works:  32 works in 257 publications in 3 languages and 5,582 library holdings 

Genres:  Conference proceedings History 
Roles:  Author, Editor 
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
Sergio Albeverio(
Book
)
22 editions published between 1985 and 1986 in English and held by 383 WorldCat member libraries worldwide
22 editions published between 1985 and 1986 in English and held by 383 WorldCat member libraries worldwide
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
)
16 editions published in 1983 in 3 languages and held by 375 WorldCat member libraries worldwide
16 editions published in 1983 in 3 languages and held by 375 WorldCat member libraries worldwide
Variational methods in mathematical physics : a unified approach by
Philippe Blanchard(
Book
)
25 editions published between 1982 and 2014 in 3 languages and held by 365 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
25 editions published between 1982 and 2014 in 3 languages and held by 365 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
Stochastic processesmathematics and physics II : proceedings of the 2nd BiBoS Symposium held in Bielefeld, West Germany,
April 1519, 1985 by
Sergio Albeverio(
Book
)
21 editions published between 1985 and 1987 in 3 languages and held by 350 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
21 editions published between 1985 and 1987 in 3 languages and held by 350 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
Mathematical and physical aspects of stochastic mechanics by
Philippe Blanchard(
Book
)
13 editions published between 1987 and 2013 in English and held by 297 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 297 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
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
)
12 editions published in 1989 in English and held by 261 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
12 editions published in 1989 in English and held by 261 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
Mathematical methods in physics : distributions, Hilbert space operators, and variational methods by
Philippe Blanchard(
Book
)
16 editions published between 2002 and 2013 in English and held by 236 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
16 editions published between 2002 and 2013 in English and held by 236 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(
Book
)
13 editions published between 2000 and 2011 in English and German and held by 208 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
13 editions published between 2000 and 2011 in English and German and held by 208 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
)
11 editions published in 1999 in English and held by 190 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
11 editions published in 1999 in English and held by 190 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
)
9 editions published between 1990 and 1991 in English and held by 151 WorldCat member libraries worldwide
9 editions published between 1990 and 1991 in English and held by 151 WorldCat member libraries worldwide
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
)
8 editions published in 1990 in English and held by 137 WorldCat member libraries worldwide
8 editions published in 1990 in English and held by 137 WorldCat member libraries worldwide
Trends and developments in the eighties : Bielefeld Encounters in Mathematics and Physics IV and V by Bielefeld encounters in Mathematics and physics(
Book
)
10 editions published in 1985 in English and held by 129 WorldCat member libraries worldwide
10 editions published in 1985 in English and held by 129 WorldCat member libraries worldwide
Multiscale methods in quantum mechanics : theory and experiment by
Philippe Blanchard(
Book
)
5 editions published in 2004 in English and held by 108 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
5 editions published in 2004 in English and held by 108 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
Mathematical analysis of urban spatial networks by
Philippe Blanchard(
Book
)
12 editions published between 2009 and 2010 in English and held by 83 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
12 editions published between 2009 and 2010 in English and held by 83 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
Droit, religion et société dans le Code Théodosien Troisièmes Journées d'étude sur le Code Théodosien, Neuchâtel,
1517 février 2007 by Journées d'études sur le Code théodosien(
Book
)
5 editions published between 2009 and 2010 in French and held by 81 WorldCat member libraries worldwide
5 editions published between 2009 and 2010 in French and held by 81 WorldCat member libraries worldwide
Random walks and diffusions on graphs and databases : an introduction by
Philippe Blanchard(
Book
)
12 editions published in 2011 in English and Undetermined and held by 61 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 (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks
12 editions published in 2011 in English and Undetermined and held by 61 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 (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks
Distributionen und Hilbertraumoperatoren : Mathematische Methoden der Physik by
Philippe Blanchard(
Book
)
3 editions published in 1993 in German and English and held by 55 WorldCat member libraries worldwide
3 editions published in 1993 in German and English and held by 55 WorldCat member libraries worldwide
The message of quantum science : attempts towards a synthesis(
)
5 editions published in 2015 in English and held by 17 WorldCat member libraries worldwide
5 editions published in 2015 in English and held by 17 WorldCat member libraries worldwide
Direction of time by
Sergio Albeverio(
Book
)
7 editions published between 2013 and 2014 in English and held by 16 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'
7 editions published between 2013 and 2014 in English and held by 16 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'
Mathematical methods in physics distributions, Hilbert space operators, variational methods, and applications in quantum physics by
Philippe Blanchard(
Book
)
8 editions published in 2015 in English and held by 16 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
8 editions published in 2015 in English and held by 16 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
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Related Identities
 Streit, Ludwig 1938 Editor
 Albeverio, Sergio Author Editor
 Brüning, Erwin
 Volchenkov, Dimitri
 Universität Bielefeld Zentrum für Interdisziplinäre Forschung
 BielefeldBochum Research Center Stochastics
 Zheng, W. 1952
 Combe, Philippe 1940
 Stubbe, J. (Joachim) 1959 Editor
 Dias, J. P. (JoãoPaulo) 1944 Editor
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Associated Subjects
Architecture ArchitectureMathematical models Calculus of variations Cell aggregationMathematics Charts, diagrams, etc Church and state Cities and townsMathematical models City planningStatistical methods Codex Theodosianus Coherence (Nuclear physics) Data structures (Computer science) Diffusion processes Distribution (Probability theory) Engineering Engineering mathematics Environmental engineering Functional analysis Global analysis (Mathematics) Graph theory Hamiltonian systems Hilbert space Human geography Linear operators Markov processes Mathematical optimization Mathematical physics Mathematics Network analysis (Planning) Nonlinear theories Nonlinear wave equations Numerical analysis Operator theory Physics Politics and government Quantum computing Quantum field theory Quantum theory Random walks (Mathematics) Regional planning Roman law Rome (Empire) Science SciencePhilosophy Statistical mechanics Statistical physics Stochastic processes Thermodynamics Time TimeSystems and standards Variational principles