Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935
Overview
Works:  140 works in 444 publications in 5 languages and 6,441 library holdings 

Genres:  Conference proceedings History Biography 
Roles:  Author, Editor, Creator 
Classifications:  QA611.5, 515.42 
Publication Timeline
.
Most widely held works about
I︠A︡. G Sinaĭ
Most widely held works by
I︠A︡. G Sinaĭ
Introduction to ergodic theory by
I︠A︡. G Sinaĭ(
Book
)
27 editions published between 1976 and 1977 in English and Undetermined and held by 529 WorldCat member libraries worldwide
27 editions published between 1976 and 1977 in English and Undetermined and held by 529 WorldCat member libraries worldwide
Ergodic theory by
I. P Kornfelʹd(
Book
)
15 editions published between 1981 and 1982 in English and German and held by 498 WorldCat member libraries worldwide
15 editions published between 1981 and 1982 in English and German and held by 498 WorldCat member libraries worldwide
Topics in ergodic theory by
I︠A︡. G Sinaĭ(
Book
)
10 editions published between 1993 and 1994 in English and Undetermined and held by 391 WorldCat member libraries worldwide
10 editions published between 1993 and 1994 in English and Undetermined and held by 391 WorldCat member libraries worldwide
Dynamical systems, ergodic theory, and applications by
I︠A︡. G Sinaĭ(
Book
)
11 editions published between 2000 and 2010 in English and held by 295 WorldCat member libraries worldwide
"This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. The ergodic theory of smooth dynamical systems is treated. Numerous examples are presented carefully along with the ideas underlying the most important results. Moreover, the book deals with the dynamical systems of statistical mechanics, and with various kinetic equations."BOOK JACKET
11 editions published between 2000 and 2010 in English and held by 295 WorldCat member libraries worldwide
"This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. The ergodic theory of smooth dynamical systems is treated. Numerous examples are presented carefully along with the ideas underlying the most important results. Moreover, the book deals with the dynamical systems of statistical mechanics, and with various kinetic equations."BOOK JACKET
Theory of phase transitions : rigorous results by
I︠A︡. G Sinaĭ(
Book
)
15 editions published between 1882 and 2014 in English and held by 292 WorldCat member libraries worldwide
Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The no
15 editions published between 1882 and 2014 in English and held by 292 WorldCat member libraries worldwide
Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The no
Probability theory : an introductory course by
I︠A︡. G Sinaĭ(
Book
)
16 editions published between 1992 and 1997 in 4 languages and held by 292 WorldCat member libraries worldwide
Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics
16 editions published between 1992 and 1997 in 4 languages and held by 292 WorldCat member libraries worldwide
Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics
Theory of probability and random processes by
Leonid B Koralov(
Book
)
25 editions published between 2007 and 2012 in English and held by 236 WorldCat member libraries worldwide
"A oneyear course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of the content of this book. This material is essential to many undergraduate and graduate courses. The book can also serve as a reference for scientists using modern probability theory in their research."BOOK JACKET
25 editions published between 2007 and 2012 in English and held by 236 WorldCat member libraries worldwide
"A oneyear course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of the content of this book. This material is essential to many undergraduate and graduate courses. The book can also serve as a reference for scientists using modern probability theory in their research."BOOK JACKET
Mathematical events of the twentieth century by
A. A Bolibrukh(
Book
)
18 editions published between 2005 and 2010 in English and held by 217 WorldCat member libraries worldwide
This book contains several contributions on the most outstanding events in the development of 20th century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous mathematicians of 20th century mathematics who exerted great influence in its development
18 editions published between 2005 and 2010 in English and held by 217 WorldCat member libraries worldwide
This book contains several contributions on the most outstanding events in the development of 20th century mathematics, representing a wide variety of specialities in which Russian and Soviet mathematicians played a considerable role. The articles are written in an informal style, from mathematical philosophy to the description of the development of ideas, personal memories and give a unique account of personal meetings with famous mathematicians of 20th century mathematics who exerted great influence in its development
Russian mathematicians in the 20th century(
Book
)
15 editions published in 2003 in English and held by 213 WorldCat member libraries worldwide
In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed "what to do" rather than "how to do it". Thus, the book will be valued beyond historical documentation. The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians  such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein  and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincare; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today. The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union
15 editions published in 2003 in English and held by 213 WorldCat member libraries worldwide
In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed "what to do" rather than "how to do it". Thus, the book will be valued beyond historical documentation. The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians  such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein  and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincare; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today. The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union
Multicomponent random systems by
R. L Dobrushin(
Book
)
7 editions published in 1980 in English and Italian and held by 195 WorldCat member libraries worldwide
7 editions published in 1980 in English and Italian and held by 195 WorldCat member libraries worldwide
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
)
14 editions published in 2008 in English and held by 194 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
14 editions published in 2008 in English and held by 194 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
Classical nonintegrability, quantum chaos by
A Knauf(
Book
)
14 editions published between 1995 and 1997 in English and held by 193 WorldCat member libraries worldwide
This book includes several lectures given at the DMV Seminar "Classical Nonintegrability, Quantum Chaos". The aim of these lectures was to provide an introduction to the ideas and mathematical techniques of classical and quantum nonlinear dynamics. The lecture by Viviane Baladi gives a muchneeded overview of the current literature and includes an informal discussion of the pertinent problems and results. The chapters on irregular scattering and on expanding maps illustrate techniques in nonlinear dynamics using the simplest nontrivial examples. The chapters on quantum chaos and on Liouville surfaces stress a phase space geometry approach to semiclassical quantum theory. These lectures may serve as a basis for graduate seminars in mathematics and physics
14 editions published between 1995 and 1997 in English and held by 193 WorldCat member libraries worldwide
This book includes several lectures given at the DMV Seminar "Classical Nonintegrability, Quantum Chaos". The aim of these lectures was to provide an introduction to the ideas and mathematical techniques of classical and quantum nonlinear dynamics. The lecture by Viviane Baladi gives a muchneeded overview of the current literature and includes an informal discussion of the pertinent problems and results. The chapters on irregular scattering and on expanding maps illustrate techniques in nonlinear dynamics using the simplest nontrivial examples. The chapters on quantum chaos and on Liouville surfaces stress a phase space geometry approach to semiclassical quantum theory. These lectures may serve as a basis for graduate seminars in mathematics and physics
Sinai's Moscow seminar on dynamical systems by Yakov Grigorievich Sinai(
Book
)
3 editions published between 1995 and 1996 in English and held by 174 WorldCat member libraries worldwide
3 editions published between 1995 and 1996 in English and held by 174 WorldCat member libraries worldwide
Dynamical systems : collection of papers by
I︠A︡. G Sinaĭ(
Book
)
12 editions published between 1991 and 2006 in English and German and held by 159 WorldCat member libraries worldwide
12 editions published between 1991 and 2006 in English and German and held by 159 WorldCat member libraries worldwide
Dynamical systems and statistical mechanics : from the Seminar on Statistical Physics held at Moscow State University by Ya.
G. Sinaĭ by
I︠A︡. G Sinaĭ(
Book
)
14 editions published in 1991 in English and held by 135 WorldCat member libraries worldwide
14 editions published in 1991 in English and held by 135 WorldCat member libraries worldwide
Selected works of Eberhard Hopf : with commentaries by
Eberhard Hopf(
Book
)
4 editions published in 2002 in English and held by 131 WorldCat member libraries worldwide
4 editions published in 2002 in English and held by 131 WorldCat member libraries worldwide
Ergodic theory with applications to dynamical systems and statistical mechanics(
Book
)
20 editions published between 1985 and 1989 in English and held by 127 WorldCat member libraries worldwide
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented  hyperbolic theory, billiards, onedimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it
20 editions published between 1985 and 1989 in English and held by 127 WorldCat member libraries worldwide
Following the concept of the EMS series this volume sets out to familiarize the reader to the fundamental ideas and results of modern ergodic theory and to its applications to dynamical systems and statistical mechanics. The exposition starts from the basic of the subject, introducing ergodicity, mixing and entropy. Then the ergodic theory of smooth dynamical systems is presented  hyperbolic theory, billiards, onedimensional systems and the elements of KAM theory. Numerous examples are presented carefully along with the ideas underlying the most important results. The last part of the book deals with the dynamical systems of statistical mechanics, and in particular with various kinetic equations. This book is compulsory reading for all mathematicians working in this field, or wanting to learn about it
Mathematical problems of statistical mechanics : collection of papers(
Book
)
5 editions published in 1991 in English and held by 124 WorldCat member libraries worldwide
5 editions published in 1991 in English and held by 124 WorldCat member libraries worldwide
Theory of dynamical systems by
I︠A︡. G Sinaĭ(
Book
)
8 editions published between 1967 and 1970 in English and Danish and held by 109 WorldCat member libraries worldwide
8 editions published between 1967 and 1970 in English and Danish and held by 109 WorldCat member libraries worldwide
Dynamical systems(
Book
)
1 edition published in 1995 in English and held by 58 WorldCat member libraries worldwide
1 edition published in 1995 in English and held by 58 WorldCat member libraries worldwide
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Related Identities
 Koralov, Leonid B. Author
 Bolibrukh, A. A. Author Editor
 Albeverio, Sergio Author
 Da Prato, Giuseppe Editor
 Flandoli, Franco
 Kornfelʹd, I. P. (Isaak Pavlovich) Author
 Röckner, Michael 1956 Editor
 Osipov, I︠U︡. S. (I︠U︡riĭ Sergeevich) 1936 Editor
 Fomin, S. V. (Sergeĭ Vasilʹevich) Author
 Centro internazionale matematico estivo
Useful Links
Associated Subjects
Celestial mechanics Chaotic behavior in systems Differentiable dynamical systems Differential equations Differential equations, Hyperbolic Differential equations, Partial Dimensional analysis Distribution (Probability theory) Dynamics Ergodic theory Fluid dynamics Fluid dynamicsMathematical models Hydrodynamics HydrodynamicsMathematical models Hyperbolic spaces Mathematical analysis Mathematical physics Mathematicians Mathematics MathematicsPhilosophy Measurepreserving transformations Mechanics, Analytic NavierStokes equationsNumerical solutions Nonlinear theories Phase transformations (Statistical physics) Physics Probabilities Quantum chaos Russia Russia (Federation) Soviet Union Spectral theory (Mathematics) Statistical mechanics Statistical physics Stochastic processes Stochastic systems Topological dynamics
Alternative Names
Iakov Sina
Jakov G. Sinaj russisk fysikar og matematikar
Jakov G. Sinaj russisk matematiker
Jakov Grigor'evič Sinaj matematico russo
Jakov Grigorievič Sinaj
Jakov Sinaj
Jakovs Sinajs
Jakow Grigorjewitsch Sinai russischer Mathematiker und theoretischer Physiker
Sinai, IA. G.
Sinai, Ia.G. 1935
Sinai, IA. G. (IAkov Grigor'evich)
Sinai, IA. G. (IAkov Grigor'evich), 1935
Sinai Iakov Grigorevich
Sinaĭ, I︠A︡kov Grigorʹevich 1935
Sina, Iakov Grigorievitch.
Sina, Iakov Grigorievitch 1935...
Sinai, J. G.
Sinai, J.G. 1935
Sinai, J. G. (I︠A︡kov Grigorʹevich), 1935
Sinai Ja. G.
Sinai, Ja. G. 1935
Sinai, Jakov Grigor'evich 1935
Sinai, Jakov Grigorjevic 1935
Sinai, Jaša G. 1935
Sinai, Y.
Sinai, Y. G. 1935
Sinai Ya. G.
Sinai, Ya.G. 1935
Sinai, Ya. G. (I︠A︡kov Grigorʹevich), 1935
Sinai, Yakov.
Sinai, Yakov 1935
Sinai Yakov G.
Sinai, Yakov G. 1935
Sinai, Yakov Grigorevich 1935
Sinai, Yasha 1935
Sinaj, . G.
Sinaj, J. G.
Sinaj, J. G. 1935
Sinaj, Ja. G. 1935
Sinaj, Jakov Grigor'evič
Sinaj, Jakov Grigor'evič 1935
Sinaj, Jakov Grigor'evič. [t]
Yakov G. Sinai Russian mathematician
Yakov Sinai
Синай, Яков Григорьевич
Синай Яків Григорович
יעקב סיני
یعکوو گ. سینایی ریاضیدان و فیزیکدان روسی
야코프 그리고리예비치 시나이
シナイ, Ya. G
ヤコフ・シナイ
雅科夫西奈
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