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Author: L. A. Bunimovich
Publisher: American Mathematical Soc.
ISBN: 9780821804568
Category : Differentiable dynamical systems
Languages : en
Pages : 8
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Book Description
Author: L. A. Bunimovich
Publisher: American Mathematical Soc.
ISBN: 9780821804568
Category : Differentiable dynamical systems
Languages : en
Pages : 8
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Book Description
Author: Yakov Grigorievich Sinai
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 247
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Book Description
Author: I͡Akov Grigorʹevich Sinaĭ
Publisher: American Mathematical Soc.
ISBN: 9780821841020
Category : Mathematics
Languages : en
Pages : 266
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Book Description
Dynamical systems and statistical mechanics have been developing in close interaction during the past decade, and the papers in this book attest to the productiveness of this interaction. The first paper in the collection contains a new result in the theory of quantum chaos, a burgeoning line of inquiry which combines mathematics and physics and which is likely in time to produce many new connections and applications. Another paper, related to the renormalization group method for the study of maps of the circle with singularities due to a jump in the derivative, demonstrates that the fixed point of the renormgroup can in this case be sufficiently described. In certain situations, the renormgroup methods work better than the traditional KAM method. Other topics covered include: thermodynamic formalism for certain infinite-dimensional dynamical systems, numerical simulation of dynamical systems with hyperbolic behaviour, periodic points of holomorphic maps, the theory of random media, statistical properties of the leading eigenvalue in matrix ensembles of large dimension, spectral properties of the one-dimensional Schrodinger operator. This volume will appeal to many readers, as it covers a broad range of topics and presents a view of some of the frontier research in the Soviet Union today.
Author: A. Yu Morozov
Publisher: American Mathematical Soc.
ISBN: 9780821813881
Category :
Languages : en
Pages : 358
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Book Description
Author: Grigori I. Olshanskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821806692
Category : Representations of algebras
Languages : en
Pages : 290
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Book Description
Author: Katsumi Nomizu
Publisher: American Mathematical Soc.
ISBN: 9780821804452
Category : Geometry, Algebraic
Languages : en
Pages : 108
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Book Description
This book presents papers that originally appeared in the Japanese journal Sugaku from the Mathematical Society of Japan. The papers explore the relationship between number theory and algebraic geometry.
Author: N.N. Uraltseva (Mathematikerin, Russland)
Publisher: American Mathematical Soc.
ISBN: 9780821896044
Category : Mathematics
Languages : en
Pages : 252
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Book Description
This collection presents new results in algebra, functional analysis, and mathematical physics. In particular, evolution and spectral problems related to small motions of viscoelastic fluid are considered. Specific areas covered in the book include functional equations and functional operator equations from the point of view of the $C*$-algebraic approach, the existence of an isomorphism between certain ideals regarded as Galois modules, spectral problems in singularly perturbed domains, scattering theory, the existence of bounded solutions to the equation $\operatorname{div} u = f$ in a plane domain, and a compactification of a locally compact group. Also given is an historic overview of the mathematical seminars held at St. Petersburg State University. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.
Author: A. G. Khovanskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821810941
Category : Mathematics
Languages : en
Pages : 242
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Book Description
This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics.
Author: Françoise Dal'Bo
Publisher: Springer
ISBN: 3319048074
Category : Mathematics
Languages : en
Pages : 148
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Book Description
The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions aim to give a self-contained introduction to the ideas behind the three different approaches to the investigation of hyperbolic dynamics. The first contribution focus on the convergence towards a Gaussian law of suitably normalized ergodic sums (Central Limit Theorem). The second one deals with Transfer Operators and the structure of their spectrum (Ruelle-Pollicott resonances), explaining the relation with the asymptotics of time correlation function and the periodic orbits of the dynamics.
