Albeverio, Sergio
Overview
Works:  648 works in 1,741 publications in 3 languages and 17,945 library holdings 

Genres:  Conference papers and proceedings History 
Roles:  Author, Editor, Creator, Other, Honoree, Contributor 
Classifications:  QA3, 530.12 
Publication Timeline
.
Most widely held works by
Sergio Albeverio
Mathematical theory of Feynman path integrals by
Sergio Albeverio(
Book
)
53 editions published between 1974 and 2008 in English and German and held by 658 WorldCat member libraries worldwide
"Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from nonrelativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like lowdimensional topology and differential geometry, algebraic geometry, infinitedimensional analysis and geometry, and number theory." "The second edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its first edition in 1976. To take care of the many developments since then, 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."Jacket
53 editions published between 1974 and 2008 in English and German and held by 658 WorldCat member libraries worldwide
"Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from nonrelativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like lowdimensional topology and differential geometry, algebraic geometry, infinitedimensional analysis and geometry, and number theory." "The second edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its first edition in 1976. To take care of the many developments since then, 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."Jacket
Solvable models in quantum mechanics by
Sergio Albeverio(
Book
)
22 editions published between 1987 and 2014 in English and Undetermined and held by 496 WorldCat member libraries worldwide
Next to the harmonic oscillator and the Coulomb potential the class of twobody models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics
22 editions published between 1987 and 2014 in English and Undetermined and held by 496 WorldCat member libraries worldwide
Next to the harmonic oscillator and the Coulomb potential the class of twobody models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics
Nonstandard methods in stochastic analysis and mathematical physics by
Sergio Albeverio(
Book
)
16 editions published between 1986 and 2009 in English and held by 429 WorldCat member libraries worldwide
16 editions published between 1986 and 2009 in English and held by 429 WorldCat member libraries worldwide
Stochastic processes, mathematics and physics : proceedings of the 1st BiBosSymposium, held in Bielefeld, West Germany, September
1015, 1984 by
Sergio Albeverio(
Book
)
31 editions published between 1985 and 1986 in 3 languages and held by 428 WorldCat member libraries worldwide
31 editions published between 1985 and 1986 in 3 languages and held by 428 WorldCat member libraries worldwide
Stochastic aspects of classical and quantum systems : proceedings of the 2nd FrenchGerman Encounter in Mathematics and Physics,
held in Marseille, France, March 28April 1, 1983 by
Sergio Albeverio(
Book
)
24 editions published in 1985 in 3 languages and held by 408 WorldCat member libraries worldwide
24 editions published in 1985 in 3 languages and held by 408 WorldCat member libraries worldwide
Stochastic processesmathematics and physics II : proceedings of the 2nd BiBoS Symposium held in Bielefeld, West Germany,
April 1519, 1985 by
BiBoSSymposium(
Book
)
24 editions published between 1985 and 1987 in 3 languages and held by 378 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
24 editions published between 1985 and 1987 in 3 languages and held by 378 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
A mathematical introduction to string theory : variational problems, geometric and probabilistic methods by
Sergio Albeverio(
Book
)
20 editions published between 1996 and 2011 in English and held by 372 WorldCat member libraries worldwide
This book deals with the mathematical aspects of string theory
20 editions published between 1996 and 2011 in English and held by 372 WorldCat member libraries worldwide
This book deals with the mathematical aspects of string theory
Stochastic processes in quantum theory and statistical physics : proceedings of the international workshop held in Marseille,
France, June 29July 4, 1981 by
Sergio Albeverio(
Book
)
17 editions published in 1982 in English and held by 322 WorldCat member libraries worldwide
17 editions published in 1982 in English and held by 322 WorldCat member libraries worldwide
Stochastic processes in classical and quantum systems : proceedings of the 1st AsconaComo International Conference, held
in Ascona, Ticino (Switzerland), June 2429, 1985 by
Sergio Albeverio(
Book
)
21 editions published between 1986 and 2013 in English and Undetermined and held by 305 WorldCat member libraries worldwide
21 editions published between 1986 and 2013 in English and Undetermined and held by 305 WorldCat member libraries worldwide
Extreme events in nature and society by
Sergio Albeverio(
Book
)
24 editions published between 2005 and 2011 in English and held by 298 WorldCat member libraries worldwide
Presents unifying and distinguishing features of extreme events, including problems of understanding and modelling their origin, spatial and temporal extension, and potential impact. This book aims to help in the difficult problem of anticipation: forecasting the event and proposing measures to moderate or prevent it
24 editions published between 2005 and 2011 in English and held by 298 WorldCat member libraries worldwide
Presents unifying and distinguishing features of extreme events, including problems of understanding and modelling their origin, spatial and temporal extension, and potential impact. This book aims to help in the difficult problem of anticipation: forecasting the event and proposing measures to moderate or prevent it
Singular perturbations of differential operators : solvable Schrödinger type operators by
Sergio Albeverio(
Book
)
17 editions published between 1999 and 2000 in English and held by 287 WorldCat member libraries worldwide
This is a systematic mathematical study of differential (and more general selfadjoint) operators
17 editions published between 1999 and 2000 in English and held by 287 WorldCat member libraries worldwide
This is a systematic mathematical study of differential (and more general selfadjoint) operators
Feynman path integrals : proceedings, of the international colloquium held in Marseille 1978 by
Sergio Albeverio(
Book
)
25 editions published between 1978 and 1979 in English and German and held by 281 WorldCat member libraries worldwide
25 editions published between 1978 and 1979 in English and German and held by 281 WorldCat member libraries worldwide
Resonancesmodels and phenomena : proceedings of a workshop held at the Centre for Interdisciplinary Research, Bielefeld
University, Bielefeld, Germany, April 914, 1984 by
Sergio Albeverio(
Book
)
16 editions published in 1984 in English and held by 267 WorldCat member libraries worldwide
16 editions published in 1984 in English and held by 267 WorldCat member libraries worldwide
Lectures on probability theory and statistics : Ecole d'Eté de Probabilités de SaintFlour XXXII2002 by
Boris Tsirelson(
Book
)
19 editions published in 2003 in English and German and held by 256 WorldCat member libraries worldwide
In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society. Sergio Albeverio reviews the theory of Dirichlet forms, and gives applications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. The second text, by Walter Schachermayer, is an introduction to the basic concepts of mathematical finance, including the Bachelier and BlackScholes models. The fundamental theorem of asset pricing is discussed in detail. Finally Michel Talagrand, gives an overview of the mean field models for spin glasses. This text is a major contribution towards the proof of certain results from physics, and includes a discussion of the SherringtonKirkpatrick and the pspin interaction models
19 editions published in 2003 in English and German and held by 256 WorldCat member libraries worldwide
In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society. Sergio Albeverio reviews the theory of Dirichlet forms, and gives applications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. The second text, by Walter Schachermayer, is an introduction to the basic concepts of mathematical finance, including the Bachelier and BlackScholes models. The fundamental theorem of asset pricing is discussed in detail. Finally Michel Talagrand, gives an overview of the mean field models for spin glasses. This text is a major contribution towards the proof of certain results from physics, and includes a discussion of the SherringtonKirkpatrick and the pspin interaction models
SPDE in hydrodynamic[s] : recent progress and prospects : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy
August 29September 3, 2005 by
CIME Session "Enumerative Invariants in Algebraic Geometry and String Theory"(
Book
)
15 editions published in 2008 in English and held by 213 WorldCat member libraries worldwide
Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D NavierStokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional NavierStokes systems and some recent results on the onedimensional Burgers equation with random forcing
15 editions published in 2008 in English and held by 213 WorldCat member libraries worldwide
Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D NavierStokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional NavierStokes systems and some recent results on the onedimensional Burgers equation with random forcing
The dynamics of complex urban systems : an interdisciplinary approach by
Sergio Albeverio(
Book
)
14 editions published between 2007 and 2010 in English and held by 88 WorldCat member libraries worldwide
The present book outlines a conceptual framework for modelling and forecasting the dynamics of both growthlimited cities and megacities bringing together experts from several disciplines. The interdisciplinary point of view is particularly stressed. The contributions presented reflect the various interdependencies between structural (physics and mathematics models) and social development (spatial decision making and urban planning models). The volume emphasizes not only the contributions from different disciplines but also pays attention to specific problems like model calibration, data avail
14 editions published between 2007 and 2010 in English and held by 88 WorldCat member libraries worldwide
The present book outlines a conceptual framework for modelling and forecasting the dynamics of both growthlimited cities and megacities bringing together experts from several disciplines. The interdisciplinary point of view is particularly stressed. The contributions presented reflect the various interdependencies between structural (physics and mathematics models) and social development (spatial decision making and urban planning models). The volume emphasizes not only the contributions from different disciplines but also pays attention to specific problems like model calibration, data avail
Hyperfinite Dirichlet forms and stochastic processes by
Sergio Albeverio(
Book
)
13 editions published in 2011 in English and held by 66 WorldCat member libraries worldwide
This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using 'nonstandard analysis'. Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite and infinitedimensional spaces. The present monograph provides a tho
13 editions published in 2011 in English and held by 66 WorldCat member libraries worldwide
This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using 'nonstandard analysis'. Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite and infinitedimensional spaces. The present monograph provides a tho
Mathematical physics and stochastic analysis : essays in honour of Ludwig Streit by
Sergio Albeverio(
Book
)
5 editions published in 2000 in English and held by 63 WorldCat member libraries worldwide
THE RELATIVISTIC AHARONOVBOHMCOULOMB PROBLEM: A PATH INTEGRAL SOLUTION
5 editions published in 2000 in English and held by 63 WorldCat member libraries worldwide
THE RELATIVISTIC AHARONOVBOHMCOULOMB PROBLEM: A PATH INTEGRAL SOLUTION
Recent developments in stochastic analysis and related topics : proceedings of the First SinoGerman Conference on Stochastic
Analysis (A satellite conference of ICM 2002), Beijing, China, 29 August  3 September 2002 by SinoGerman Conference on Stochastic Analysis(
Book
)
8 editions published in 2004 in English and held by 54 WorldCat member libraries worldwide
This volume contains 27 refereed research articles and survey papers written by experts in the field of stochastic analysis and related topics. Most contributors are well known leading mathematicians worldwide and prominent young scientists. The volume reflects a review of the recent developments in stochastic analysis and related topics. It puts in evidence the strong interconnection of stochastic analysis with other areas of mathematics, as well as with applications of mathematics in natural and social economic sciences. The volume also provides some possible future directions for the field
8 editions published in 2004 in English and held by 54 WorldCat member libraries worldwide
This volume contains 27 refereed research articles and survey papers written by experts in the field of stochastic analysis and related topics. Most contributors are well known leading mathematicians worldwide and prominent young scientists. The volume reflects a review of the recent developments in stochastic analysis and related topics. It puts in evidence the strong interconnection of stochastic analysis with other areas of mathematics, as well as with applications of mathematics in natural and social economic sciences. The volume also provides some possible future directions for the field
Direction of time by
Sergio Albeverio(
Book
)
9 editions published in 2014 in English and held by 19 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'
9 editions published in 2014 in English and held by 19 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'
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Related Identities
 Streit, Ludwig 1938 Other Honoree Editor
 Röckner, Michael 1956 Editor
 Blanchard, Philippe Other Editor
 HöeghKrohn, Raphael Other Honoree Contributor
 London Mathematical Society Other
 Ma, ZhiMing Editor
 Kurasov, P. Editor
 Combe, Philippe 1940 Other Editor
 SirugueCollin, M. (Madeleine) 1936 Other Editor
 Jentsch, V. (Volker) Editor
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Associated Subjects
Cartography Cities and townsGrowthMathematical models Differential operators Dimensional analysis Dirichlet forms Disasters DisastersForecasting Distribution (Probability theory) Economics Emergency management Environmental sciences Feynman integrals Fluid dynamicsMathematical models Functional analysis Hydrodynamics HydrodynamicsMathematical models Logic, Symbolic and mathematical Mathematical physics Mathematical physics Mathematical statistics Mathematics Natural disasters NavierStokes equationsNumerical solutions Nuclear fusion Nuclear magnetic resonance Nuclear physics Operator theory Perturbation (Mathematics) Perturbation (Mathematics) Physics Probabilities Quantum computing Quantum theory Quantum theoryMathematical models Regional economics Regional planning Resonance Schrödinger operator Schrödinger operator Statistical mechanics Statistical physics Statistics Stochastic analysis Stochastic processes Streit, Ludwig, String modelsMathematics Thermodynamics Time TimeSystems and standards UrbanizationMathematical models
Alternative Names
AlbeverioHeghKrohn, .. 1939
Albeverio, S.
Albeverio, S. 1939
Albeverio, S. (Sergio)
Al'beverio, Serdžio 1939
Albeverio, Sergio
Albeverio, Sergio A.
Albeverio, Sergio A. 1939
Sergio Albeverio matemtico
Sergio Albeverio matematico svizzero
Sergio Albeverio schweizer Physiker
Sergio Albeverio schweizisk fysiker och matematiker
Sergio Albeverio schweizisk fysiker og matematiker
Sergio Albeverio sveitsisk fysikar og matematikar
Sergio Albeverio sveitsisk fysiker og matematiker
Sergio Albeverio Swiss mathematician
Sergio Albeverio Zwitsers wiskundige
Альбеверио, С
Альбеверио, С. (Серджио)
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