Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich) 1935Overview
Publication Timeline
Most widely held works about
I︠A︡. G Sinaĭ
Most widely held works by
I︠A︡. G Sinaĭ
Mathematical events of the twentieth century
by A. A Bolibrukh
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19 editions published between 2005 and 2010 in English and held by 572 WorldCat member libraries worldwide This book contains several contributions on the most outstanding events in the development of twentieth 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 representatives of twentieth century mathematics who exerted great influence in its development. This book will be of great interest to mathematicians, who will enjoy seeing their own specialities described with some historical perspective. Historians will read it with the same motive, and perhaps also to select topics for future investigation
Theory of probability and random processes
by Leonid B Koralov
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23 editions published between 2007 and 2012 in English and held by 557 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
SPDE in hydrodynamic[s] recent progress and prospects lectures given at the C.I.M.E. Summer School held in Cetraro, Italy August 29  September 3, 2005
by C.I.M.E. Summer School
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11 editions published in 2008 in English and held by 556 WorldCat member libraries worldwide
Introduction to ergodic theory
by I︠A︡. G Sinaĭ
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23 editions published between 1976 and 1977 in English and Undetermined and held by 515 WorldCat member libraries worldwide
Ergodic theory
by I. P Kornfelʹd
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14 editions published between 1981 and 1982 in English and German and held by 493 WorldCat member libraries worldwide
Topics in ergodic theory
by I︠A︡. G Sinaĭ
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9 editions published between 1993 and 1994 in English and Undetermined and held by 387 WorldCat member libraries worldwide
Probability theory : an introductory course
by I︠A︡. G Sinaĭ
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10 editions published between 1992 and 1997 in English and Undetermined and held by 289 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
Dynamical systems, ergodic theory, and applications
by I︠A︡. G Sinaĭ
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10 editions published between 2000 and 2010 in English and held by 287 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
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8 editions published in 1982 in English and held by 283 WorldCat member libraries worldwide
Russian mathematicians in the 20th century
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11 editions published in 2003 in English and held by 216 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
Classical nonintegrability, quantum chaos
by A Knauf
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11 editions published between 1995 and 1997 in English and held by 200 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
Multicomponent random systems
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5 editions published in 1980 in English and held by 198 WorldCat member libraries worldwide
Sinai's Moscow seminar on dynamical systems
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3 editions published between 1995 and 1996 in English and held by 175 WorldCat member libraries worldwide
Dynamical systems : collection of papers
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7 editions published between 1991 and 2000 in English and held by 155 WorldCat member libraries worldwide
Selected works of Eberhard Hopf : with commentaries
by Eberhard Hopf
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4 editions published between 2002 and 2003 in English and held by 130 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 Seminar on Statistical Physics (Moscow State University)
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10 editions published in 1991 in English and held by 123 WorldCat member libraries worldwide
Ergodic theory with applications to dynamical systems and statistical mechanics
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18 editions published between 1985 and 1989 in English and held by 123 WorldCat member libraries worldwide
Mathematical problems of statistical mechanics : collection of papers
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4 editions published in 1991 in English and held by 122 WorldCat member libraries worldwide
Theory of dynamical systems
by I︠A︡. G Sinaĭ
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7 editions published in 1970 in English and Danish and held by 109 WorldCat member libraries worldwide
Dynamical systems
by D. V Anosov
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1 edition published in 1995 in English and held by 57 WorldCat member libraries worldwide The book deals with smooth dynamical systems with hyperbolic behaviour of trajectories filling out "large subsets" of the phase space. Such systems lead to complicated motion (socalled "chaos"). The book begins with a discussion of the topological manifestations of uniform and total hyperbolicity: hyperbolic sets, Smale's Axiom A, structurally stable systems, Anosov systems, and hyperbolic attractors of dimension or codimension one. There are various modifications of hyperbolicity and in this connection the properties of Lorenz attractors, pseudoanalytic Thurston diffeomorphisms, and homogeneous flows with expanding and contracting foliations are investigated. These last two questions are discussed in the general context of the theory of homeomorphisms of surfaces and of homogeneous flows more
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Associated Subjects
Celestial mechanics Cell aggregationMathematics 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 Topological groups

Alternative Names
Sinai, Ia.G., 1935
Sinai, Iakov Grigorevich
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 Grigor'evich 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 Grigor'evich, 1935
Sinai, Yasha, 1935
Sinaj, Â. G.
Sinaj, J. G.
Sinaj, J. G. 1935
Sinaj, Ja. G. 1935
Sinaj, Jakov Grigor'evič 1935
Sinaj, Jakov Grigor'evič. [t]
シナイ, Ya. G
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