Gallavotti, Giovanni
Overview
Works:  49 works in 207 publications in 4 languages and 3,060 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Author of introduction, coo 
Classifications:  QC174.86.C6, 530.132 
Publication Timeline
.
Most widely held works by
Giovanni Gallavotti
The elements of mechanics by
Giovanni Gallavotti(
Book
)
24 editions published between 1980 and 1986 in 3 languages and held by 407 WorldCat member libraries worldwide
The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 19751978
24 editions published between 1980 and 1986 in 3 languages and held by 407 WorldCat member libraries worldwide
The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 19751978
Statistical mechanics : a short treatise by
Giovanni Gallavotti(
Book
)
14 editions published in 1999 in English and German and held by 378 WorldCat member libraries worldwide
This book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasizes the relation between microscopic reversibility and macroscopic irreversibility. Students will find a clear and detailed explanation of fundamental concepts such as equipartition, entropy, and ergodicity. They will learn about Brownian motion, the modern treatment of the thermodynamic limit phase transitions, the microscopic and macroscopic theory of the coexistence of phases, statistical mechanics of stationary states, and fluctuations and dissipation in chaotic motions
14 editions published in 1999 in English and German and held by 378 WorldCat member libraries worldwide
This book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasizes the relation between microscopic reversibility and macroscopic irreversibility. Students will find a clear and detailed explanation of fundamental concepts such as equipartition, entropy, and ergodicity. They will learn about Brownian motion, the modern treatment of the thermodynamic limit phase transitions, the microscopic and macroscopic theory of the coexistence of phases, statistical mechanics of stationary states, and fluctuations and dissipation in chaotic motions
Nonlinear evolution and chaotic phenomena by
Giovanni Gallavotti(
Book
)
14 editions published in 1988 in English and held by 231 WorldCat member libraries worldwide
This volume represents the proceedings of a NATO Advanced Study Institute held at Noto, Sicily June 819, 1987. The director was Giovanni Gallavotti, Roma, with codirectors Marcello Anile, Catania and P.F. Zweifel, Virginia Tech. Other members of the scientific organizing committee included Mitchell Feigenbaum, Rockefeller University and David Ruelle, IHES. The attendance at the school consisted of 23 invited speakers and approximately 80 "students", the term student being in quotation marks because many of them were of postdoctoral or even professorial status, although there were also a goodly number of actual graduate students in attendance also. Because of the disparate background of these "students", it was felt advisable to include at the conference special tutorials each afternoon, in which the contents of the morning's lectures were reviewed and clarified as necessary. These tutorials, organized by Gallavotti, involved various of the speakers, organizers, and other senior members of the school, and contributed in no little way to the overall success of the school. The organizers of the school would like to take this opportunity to thank all of those who assisted in these sessions, and to assure them that the results were definitely worth the effort. Also contributing to the success of the school were a number of contributed papers, presented during the course of the afternoon tutorials. Three of those papers are included in these proceedings; they are the papers of DiFrancesco; Gallimbeni, Miari and Sertorio (presented by Sertorio); and Vittot
14 editions published in 1988 in English and held by 231 WorldCat member libraries worldwide
This volume represents the proceedings of a NATO Advanced Study Institute held at Noto, Sicily June 819, 1987. The director was Giovanni Gallavotti, Roma, with codirectors Marcello Anile, Catania and P.F. Zweifel, Virginia Tech. Other members of the scientific organizing committee included Mitchell Feigenbaum, Rockefeller University and David Ruelle, IHES. The attendance at the school consisted of 23 invited speakers and approximately 80 "students", the term student being in quotation marks because many of them were of postdoctoral or even professorial status, although there were also a goodly number of actual graduate students in attendance also. Because of the disparate background of these "students", it was felt advisable to include at the conference special tutorials each afternoon, in which the contents of the morning's lectures were reviewed and clarified as necessary. These tutorials, organized by Gallavotti, involved various of the speakers, organizers, and other senior members of the school, and contributed in no little way to the overall success of the school. The organizers of the school would like to take this opportunity to thank all of those who assisted in these sessions, and to assure them that the results were definitely worth the effort. Also contributing to the success of the school were a number of contributed papers, presented during the course of the afternoon tutorials. Three of those papers are included in these proceedings; they are the papers of DiFrancesco; Gallimbeni, Miari and Sertorio (presented by Sertorio); and Vittot
Aspects of ergodic, qualitative, and statistical theory of motion by
Giovanni Gallavotti(
Book
)
18 editions published between 1981 and 2010 in 4 languages and held by 180 WorldCat member libraries worldwide
Intended for beginners in ergodic theory, this book addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems
18 editions published between 1981 and 2010 in 4 languages and held by 180 WorldCat member libraries worldwide
Intended for beginners in ergodic theory, this book addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM theory. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems
The FermiPastaUlam problem : a status report by
Giovanni Gallavotti(
Book
)
13 editions published between 2007 and 2008 in English and held by 141 WorldCat member libraries worldwide
The apparent contradiction of the results of the FermiPastaUlam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the FermiPastaUlam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of onedimensional chains, descriptions of numerical methods, heuristic theories, addressing the???long standing and controversia
13 editions published between 2007 and 2008 in English and held by 141 WorldCat member libraries worldwide
The apparent contradiction of the results of the FermiPastaUlam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known as the FermiPastaUlam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprise studies of onedimensional chains, descriptions of numerical methods, heuristic theories, addressing the???long standing and controversia
Boltzmann's legacy by International Symposium "Boltzmann's Legacy"(
Book
)
12 editions published between 2006 and 2008 in English and held by 126 WorldCat member libraries worldwide
12 editions published between 2006 and 2008 in English and held by 126 WorldCat member libraries worldwide
International Conference on Dynamical Systems in Mathematical Physics, Rennes, 1975, Sept. 1421 by International Conference on Dynamical Systems in Mathematical Physics(
Book
)
10 editions published between 1975 and 1977 in 3 languages and held by 116 WorldCat member libraries worldwide
10 editions published between 1975 and 1977 in 3 languages and held by 116 WorldCat member libraries worldwide
Nonequilibrium and irreversibility by
Giovanni Gallavotti(
Book
)
13 editions published between 2014 and 2016 in English and held by 38 WorldCat member libraries worldwide
This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood as probability distributions on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which time invariant distributions come into play in physics. A special feature of this book is the historical approach. To identify the problems the author analyzes the papers of the founding fathers Boltzmann, Clausius and Maxwell including translations of the relevant (parts of ) historical documents. He also establishes a close link between treatment of irreversible phenomena in statistical mechanics and the theory of chaotic systems at and beyond the onset of turbulence as developed by Sinai, Ruelle, Bowen (SRB) and others: the author gives arguments intending to support strongly the viewpoint that stationary states in or out of equilibrium can be described in a unified way. In this book it is the "chaotic hypothesis", which can be seen as an extension of the classical ergodic hypothesis to non equilibrium phenomena, that plays the central role. It is shown that SRB  often considered as a kind of mathematical playground with no impact on physical reality  has indeed a sound physical interpretation; an observation which to many might be new and a very welcome insight. Following this, many consequences of the chaotic hypothesis are analyzed in chapter 3  4, and in chapter 5 a few applications are proposed. Chapter 6 is historical: carefully analyzing the old literature on the subject, especially ergodic theory and its relevance for statistical mechanics; an approach which gives the book a very personal touch. The book contains an extensive coverage of current research (partly from the authors and his coauthors publications) presented in enough detail so that advanced students may get the flavor of a direction of research in a field which is still very much alive and progressing. Proofs of theorems are usually limited to heuristic sketches privileging the presentation of the ideas and providing references that the reader can follow, so that in this way an overload of this text with technical details could be avoided
13 editions published between 2014 and 2016 in English and held by 38 WorldCat member libraries worldwide
This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood as probability distributions on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which time invariant distributions come into play in physics. A special feature of this book is the historical approach. To identify the problems the author analyzes the papers of the founding fathers Boltzmann, Clausius and Maxwell including translations of the relevant (parts of ) historical documents. He also establishes a close link between treatment of irreversible phenomena in statistical mechanics and the theory of chaotic systems at and beyond the onset of turbulence as developed by Sinai, Ruelle, Bowen (SRB) and others: the author gives arguments intending to support strongly the viewpoint that stationary states in or out of equilibrium can be described in a unified way. In this book it is the "chaotic hypothesis", which can be seen as an extension of the classical ergodic hypothesis to non equilibrium phenomena, that plays the central role. It is shown that SRB  often considered as a kind of mathematical playground with no impact on physical reality  has indeed a sound physical interpretation; an observation which to many might be new and a very welcome insight. Following this, many consequences of the chaotic hypothesis are analyzed in chapter 3  4, and in chapter 5 a few applications are proposed. Chapter 6 is historical: carefully analyzing the old literature on the subject, especially ergodic theory and its relevance for statistical mechanics; an approach which gives the book a very personal touch. The book contains an extensive coverage of current research (partly from the authors and his coauthors publications) presented in enough detail so that advanced students may get the flavor of a direction of research in a field which is still very much alive and progressing. Proofs of theorems are usually limited to heuristic sketches privileging the presentation of the ideas and providing references that the reader can follow, so that in this way an overload of this text with technical details could be avoided
Statistical mechanics by
Centro internazionale matematico estivo(
Book
)
9 editions published between 1978 and 2011 in 3 languages and held by 29 WorldCat member libraries worldwide
9 editions published between 1978 and 2011 in 3 languages and held by 29 WorldCat member libraries worldwide
Statistical mechanics : lectures given at the Centro internazionale matematico estivo (C.I.M.E.) held in Bressanone (Bolzano),
Italy, June 2127, 1976 by C.I.M.E. Summer School(
Book
)
8 editions published in 2010 in English and held by 17 WorldCat member libraries worldwide
Annotation
8 editions published in 2010 in English and held by 17 WorldCat member libraries worldwide
Annotation
Statistical mechancis by
Giovanni Gallavotti(
)
8 editions published between 2010 and 2011 in English and held by 16 WorldCat member libraries worldwide
C. Cercignani: A sketch of the theory of the Boltzmann equation. O.E. Lanford: Qualitative and statistical theory of dissipative systems. E.H. Lieb: many particle Coulomb systems. B. Tirozzi: Report on renormalization group. A. Wehrl: Basic properties of entropy in quantum mechanics
8 editions published between 2010 and 2011 in English and held by 16 WorldCat member libraries worldwide
C. Cercignani: A sketch of the theory of the Boltzmann equation. O.E. Lanford: Qualitative and statistical theory of dissipative systems. E.H. Lieb: many particle Coulomb systems. B. Tirozzi: Report on renormalization group. A. Wehrl: Basic properties of entropy in quantum mechanics
Ipotesi per una introduzione alla meccanica dei fluidi by
Giovanni Gallavotti(
Book
)
5 editions published in 1996 in Italian and held by 14 WorldCat member libraries worldwide
5 editions published in 1996 in Italian and held by 14 WorldCat member libraries worldwide
Thermodynamic formalism : the mathematical structures of classical equilibrium statistical mechanics by
David Ruelle(
Book
)
5 editions published between 1978 and 2004 in English and held by 13 WorldCat member libraries worldwide
Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author
5 editions published between 1978 and 2004 in English and held by 13 WorldCat member libraries worldwide
Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author
Meccanica statistica : trattatello by
Giovanni Gallavotti(
Book
)
5 editions published in 1995 in Italian and held by 10 WorldCat member libraries worldwide
5 editions published in 1995 in Italian and held by 10 WorldCat member libraries worldwide
Problemes ergodiques de la mecanique classique by
Giovanni Gallavotti(
Book
)
6 editions published between 1976 and 1982 in French and Italian and held by 8 WorldCat member libraries worldwide
6 editions published between 1976 and 1982 in French and Italian and held by 8 WorldCat member libraries worldwide
Problemi ergodici in meccanica classica by
Giovanni Gallavotti(
Book
)
3 editions published in 1976 in Italian and English and held by 7 WorldCat member libraries worldwide
3 editions published in 1976 in Italian and English and held by 7 WorldCat member libraries worldwide
Some aspects of the renormalization problems in statistical mechanics and field theory by
Giovanni Gallavotti(
Book
)
2 editions published in 1978 in Undetermined and English and held by 6 WorldCat member libraries worldwide
2 editions published in 1978 in Undetermined and English and held by 6 WorldCat member libraries worldwide
Séminaire Poincaré(
Book
)
1 edition published in 2002 in French and held by 5 WorldCat member libraries worldwide
1 edition published in 2002 in French and held by 5 WorldCat member libraries worldwide
The almost everywhere convergence of Fourier series by
Giovanni Gallavotti(
Book
)
2 editions published in 1987 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 3 WorldCat member libraries worldwide
Mathematical physics electronic journal(
)
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
The aim of this journal (http://www.ma.utexas.edu/mpej/) is to publish papers in mathematical physics and related areas that are of the highest quality. Research papers and review articles are selected through the normal refereeing process, overseen by an editorial board. The research subjects are primarily on mathematical physics; but this should not be interpreted as a limitation, as the editors feel that essentially all subjects of mathematics and physics are in principle relevant to mathematical physics
2 editions published in 2002 in English and held by 0 WorldCat member libraries worldwide
The aim of this journal (http://www.ma.utexas.edu/mpej/) is to publish papers in mathematical physics and related areas that are of the highest quality. Research papers and review articles are selected through the normal refereeing process, overseen by an editorial board. The research subjects are primarily on mathematical physics; but this should not be interpreted as a limitation, as the editors feel that essentially all subjects of mathematics and physics are in principle relevant to mathematical physics
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Centro internazionale matematico estivo Other
 Zweifel, P. F. (Paul Frederick) 1929 Editor
 Bonetto, F. (Federico) Author
 Gentile, G. (Guido)
 North Atlantic Treaty Organization Scientific Affairs Division Publisher
 Ruelle, David Author
 Reiter, Wolfgang L. Editor
 Jakob Yngvason Editor
 Keane, M. S. (Michael S.)
 Boltzmann, Ludwig 18441906 Honoree
Useful Links
Associated Subjects
Boltzmann, Ludwig, Chaotic behavior in systems Chaotic behavior in systemsMathematical models Computational complexity Convergence Differentiable dynamical systems Differential equations, Partial Dynamics Ergodic theory Fluid dynamics Fluid mechanics Fourier series Irreversible processes Lattice theory Materials Mathematical physics Mathematics Measurepreserving transformations Mechanics Nonequilibrium statistical mechanics Nonlinear theories Particles (Nuclear physics) Phase space (Statistical physics) Physics Probabilities Statistical mechanics Statistical physics Thermodynamics
Alternative Names
Gallavotti, G.
Gallavotti, G. 1941
Gallavotti, G. (Giovanni)
Giovanni Gallavotti Italiaans natuurkundige
Giovanni Gallavotti Italian physicist
Giovanni Gallavotti italienischer Physiker
Giovanni Gallavotti italiensk fysikar
Giovanni Gallavotti italiensk fysiker
جیووانی گالاووتی فیزیکدان ایتالیایی
Languages
Covers