Sinai's Moscow Seminar on Dynamical Systems
Author: Yakov Grigorievich Sinai
Publisher:
Published: 1996
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOK →Author: Yakov Grigorievich Sinai
Publisher:
Published: 1996
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOK →Author: I︠A︡kov Grigorʹevich Sinaĭ
Publisher: American Mathematical Soc.
Published: 1996
Total Pages: 278
ISBN-13: 9780821804568
DOWNLOAD EBOOK →Author: L. A. Bunimovich
Publisher: American Mathematical Soc.
Published: 1996
Total Pages: 8
ISBN-13: 9780821804568
DOWNLOAD EBOOK →Author: A. Yu Morozov
Publisher: American Mathematical Soc.
Published: 1999
Total Pages: 358
ISBN-13: 9780821813881
DOWNLOAD EBOOK →Author: Helge Holden
Publisher: Springer
Published: 2019-02-23
Total Pages: 774
ISBN-13: 3319990284
DOWNLOAD EBOOK →The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.
Author: Grigori I. Olshanskiĭ
Publisher: American Mathematical Soc.
Published: 1998
Total Pages: 290
ISBN-13: 9780821806692
DOWNLOAD EBOOK →Author: Nikolai Chernov
Publisher: American Mathematical Soc.
Published: 2009-03-06
Total Pages: 208
ISBN-13: 082184282X
DOWNLOAD EBOOK →A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work the authors study a 2D version of this model, where the molecule is a heavy disk of mass $M \gg 1$ and the gas is represented by just one point particle of mass $m=1$, which interacts with the disk and the walls of the container via elastic collisions. Chaotic behavior of the particles is ensured by convex (scattering) walls of the container. The authors prove that the position and velocity of the disk, in an appropriate time scale, converge, as $M\to\infty$, to a Brownian motion (possibly, inhomogeneous); the scaling regime and the structure of the limit process depend on the initial conditions. The proofs are based on strong hyperbolicity of the underlying dynamics, fast decay of correlations in systems with elastic collisions (billiards), and methods of averaging theory.
Author: Michael Semenov-Tian-Shansky
Publisher: American Mathematical Soc.
Published: 2000
Total Pages: 336
ISBN-13: 9780821821336
DOWNLOAD EBOOK →Professor L. D. Faddeev's seminar at Steklov Mathematical Institute (St. Petersburg, Russia) has a long history of over 30 years of intensive work which shaped modern mathematical physics. This collection, honoring Professor Faddeev's 65th anniversary, has been prepared by his students and colleagues. Topics covered in the volume include classical and quantum integrable systems (both analytic and algebraic aspects), quantum groups and generalizations, quantum field theory, and deformation quantization. Included is a history of the seminar highlighting important developments, such as the invention of the quantum inverse scattering method and of quantum groups. The book will serve nicely as a comprehensive, up-to-date resource on the topic.
Author: Y. Eliashberg
Publisher: American Mathematical Soc.
Published: 1999
Total Pages: 276
ISBN-13: 9780821820759
DOWNLOAD EBOOK →The 12 papers are from various meeting of the seminar, which has met regularly since 1989. They discuss the quantization of symplectic orbitfolds and group actions; Hamiltonian dynamical systems without period orbits; the stabilization of symplectic inequalities and applications; Engel deformations and contact structures; quantum products for mapping tori and the Atiya-Floer conjecture; the cohomology rings of Hamiltonian T-spaces; symmetric spaces, Kahler geometry, and Hamiltonian dynamics; the mirror formula for quintic threefolds; the virtual moduli cycle; Floer homology, Novikov rings, and complete intersections; surgery, quantum cohomology, and birational geometry; and group symplectic automorphisms. They are not indexed. Annotation copyrighted by Book News, Inc., Portland, OR.
Author: Vladimir Evgenʹevich Zakharov
Publisher: American Mathematical Soc.
Published: 1998
Total Pages: 212
ISBN-13: 9780821841136
DOWNLOAD EBOOK →This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.