Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935
Overview
Works:  118 works in 471 publications in 5 languages and 6,854 library holdings 

Genres:  Conference papers and proceedings History Biography 
Roles:  Author, Editor, Other, Creator 
Publication Timeline
.
Most widely held works about
I︠A︡. G Sinaĭ
Most widely held works by
I︠A︡. G Sinaĭ
Theory of probability and random processes by
Leonid B Koralov(
)
29 editions published between 2007 and 2012 in English and held by 636 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."Jacket
29 editions published between 2007 and 2012 in English and held by 636 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."Jacket
Mathematical events of the twentieth century by
A. A Bolibrukh(
)
13 editions published between 2006 and 2010 in English and held by 597 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
13 editions published between 2006 and 2010 in English and held by 597 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
Ergodic theory by
I. P Kornfelʹd(
Book
)
16 editions published between 1981 and 1982 in English and German and held by 581 WorldCat member libraries worldwide
16 editions published between 1981 and 1982 in English and German and held by 581 WorldCat member libraries worldwide
Introduction to ergodic theory by
I︠A︡. G Sinaĭ(
Book
)
23 editions published between 1976 and 1977 in English and held by 535 WorldCat member libraries worldwide
23 editions published between 1976 and 1977 in English and held by 535 WorldCat member libraries worldwide
Topics in ergodic theory by
I︠A︡. G Sinaĭ(
Book
)
19 editions published between 1993 and 2017 in English and Undetermined and held by 419 WorldCat member libraries worldwide
19 editions published between 1993 and 2017 in English and Undetermined and held by 419 WorldCat member libraries worldwide
Probability theory : an introductory course by
I︠A︡. G Sinaĭ(
Book
)
22 editions published between 1992 and 1997 in 4 languages and held by 372 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
22 editions published between 1992 and 1997 in 4 languages and held by 372 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
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
Sergio Albeverio(
)
2 editions published in 2008 in English and held by 363 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
2 editions published in 2008 in English and held by 363 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
Theory of phase transitions : rigorous results by
I︠A︡. G Sinaĭ(
Book
)
21 editions published between 1882 and 2014 in English and held by 350 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. <br>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. Th
21 editions published between 1882 and 2014 in English and held by 350 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. <br>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. Th
Dynamical systems, ergodic theory, and applications by
L. A Bunimovich(
Book
)
10 editions published between 2000 and 2010 in English and held by 340 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."Jacket
10 editions published between 2000 and 2010 in English and held by 340 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."Jacket
Classical nonintegrability, quantum chaos by
A Knauf(
Book
)
14 editions published between 1995 and 1997 in English and German and held by 262 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 German and held by 262 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
Russian mathematicians in the 20th century by
I︠A︡. G Sinaĭ(
Book
)
21 editions published in 2003 in English and Multiple languages and held by 261 WorldCat member libraries worldwide
"In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This book, which presents the main achievements of Russian mathematics in that century, is the first most comprehensive book on Russian mathematicians. ... It presents differences in mathematial styles and focuses on Soviet mathematicians who often discussed "what to do" rather than "how to do it"."Back cover
21 editions published in 2003 in English and Multiple languages and held by 261 WorldCat member libraries worldwide
"In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This book, which presents the main achievements of Russian mathematics in that century, is the first most comprehensive book on Russian mathematicians. ... It presents differences in mathematial styles and focuses on Soviet mathematicians who often discussed "what to do" rather than "how to do it"."Back cover
Dynamical systems : Ergodic theory with applications to dynamical systems and statistical mechanics by Bunimovich(
Book
)
31 editions published between 1985 and 1989 in English and German and held by 261 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
31 editions published between 1985 and 1989 in English and German and held by 261 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
Multicomponent random systems by
R. L Dobrushin(
Book
)
9 editions published in 1980 in English and Italian and held by 202 WorldCat member libraries worldwide
"The present book contains a set of original scientific researches devoted to various problems of the theory of dynamical systems and multicomponent random systems, both theoretical and motivated by concrete applications."Preface
9 editions published in 1980 in English and Italian and held by 202 WorldCat member libraries worldwide
"The present book contains a set of original scientific researches devoted to various problems of the theory of dynamical systems and multicomponent random systems, both theoretical and motivated by concrete applications."Preface
Topics in ergodic theory (PMS44) by
I︠A︡. G Sinaĭ(
)
2 editions published in 2017 in English and held by 194 WorldCat member libraries worldwide
This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multidimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems. Originally published in 1993. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
2 editions published in 2017 in English and held by 194 WorldCat member libraries worldwide
This book concerns areas of ergodic theory that are now being intensively developed. The topics include entropy theory (with emphasis on dynamical systems with multidimensional time), elements of the renormalization group method in the theory of dynamical systems, splitting of separatrices, and some problems related to the theory of hyperbolic dynamical systems. Originally published in 1993. The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Sinai's Moscow seminar on dynamical systems by
I︠A︡. G Sinaĭ(
Book
)
6 editions published between 1995 and 1996 in English and held by 191 WorldCat member libraries worldwide
6 editions published between 1995 and 1996 in English and held by 191 WorldCat member libraries worldwide
Dynamical systems : collection of papers by
I︠A︡. G Sinaĭ(
Book
)
13 editions published between 1991 and 2006 in English and German and held by 178 WorldCat member libraries worldwide
13 editions published between 1991 and 2006 in English and German and held by 178 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
Ya. G Sinai(
Book
)
15 editions published in 1991 in English and held by 148 WorldCat member libraries worldwide
15 editions published in 1991 in English and held by 148 WorldCat member libraries worldwide
Selected works of Eberhard Hopf : with commentaries by
Eberhard Hopf(
Book
)
5 editions published in 2002 in English and held by 139 WorldCat member libraries worldwide
5 editions published in 2002 in English and held by 139 WorldCat member libraries worldwide
Mathematical problems of statistical mechanics : collection of papers by
I︠A︡. G Sinaĭ(
Book
)
9 editions published in 1991 in English and held by 133 WorldCat member libraries worldwide
9 editions published in 1991 in English and held by 133 WorldCat member libraries worldwide
Theory of dynamical systems by
I︠A︡. G Sinaĭ(
Book
)
in English and held by 108 WorldCat member libraries worldwide
in English and held by 108 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Koralov, Leonid B. Author
 Kornfelʹd, I. P. (Isaak Pavlovich) Author
 Bolibrukh, A. A. Editor
 Osipov, I︠U︡. S. (I︠U︡riĭ Sergeevich) 1936 Editor
 Fomin, S. V. (Sergeĭ Vasilʹevich) Author
 Bunimovich, L. A. Other Author Editor
 Sosinskiĭ, A. B. (Alekseĭ Bronislavovich) Translator
 Albeverio, Sergio Author
 Flandoli, Franco
 Röckner, Michael 1956
Useful Links
Associated Subjects
Celestial mechanics Cell aggregationMathematics Differentiable dynamical systems Differential equations, Hyperbolic Differential equations, Partial Dimensional analysis Distribution (Probability theory) Dynamics Ergodic theory Fluid dynamics Fluid dynamicsMathematical models Hydrodynamics HydrodynamicsMathematical models Mathematical analysis Mathematical physics Mathematicians Mathematics MathematicsPhilosophy Measurepreserving transformations Mechanics, Analytic NavierStokes equationsNumerical solutions Nonlinear systems Nonlinear theories Phase rule and equilibrium Phase transformations (Statistical physics) Physics Probabilities Quantum chaos Russia Russia (Federation) Soviet Union Spectral theory (Mathematics) Statistical mechanics Statistical physics Stochastic partial differential equations Stochastic processes Stochastic systems Thermodynamics Topological dynamics
Covers
Alternative Names
Iàkov Sinai
Iàkov Sinai matemàtic rus
Iakov Sinaï mathématicien russe
Jakov G. Sinaj russisk fysikar og matematikar
Jakov G. Sinaj russisk matematiker
Jakov Grigor'evič Sinaj matematico russo
Jakov Grigorievič Sinaj
Jakov Sinaj
Jakov Sinaj Russisch wiskundige
Jakov Sinaj russisk fysikar og matematikar
Jakov Sinaj russisk matematiker
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
Sinaǐ, I︠A︡kov Grigorʹevich
Sinaĭ, I︠A︡kov Grigorʹevich 1935
Sinaï, Iakov Grigorievitch.
Sinaï, 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 Grigorevic
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, Â. G.
Sinaj, J. G.
Sinaj, J. G. 1935
Sinaj, Ja. G. 1935
Sinaj, Jakov Grigor'evič.
Sinaj, Jakov Grigorʹevič 1935
Sinaj, Jakov Grigor'evič. [t]
Sinaj, Jankov Grigor'evič [!].
Yakov G. Sinai
Yakov G. Sinai Russian mathematician
Yakov Sinai
Yákov Sinái matemático ruso
Yakov Sinai Russian mathematician
Синай, Я. Г.
Синай, Яков Григорьевич
Синай Яків Григорович
יעקב סיני
יעקב סיני מתמטיקאי רוסי
إياكوف سيناي رياضياتي روسي
یعکوو ق. سینایی
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
Languages