The Arnoldfest : proceedings of a conference in honour of V.I. Arnold for his sixtieth birthday
著者
書誌事項
The Arnoldfest : proceedings of a conference in honour of V.I. Arnold for his sixtieth birthday
(Fields Institute communications, 24)
American Mathematical Society, c1999
大学図書館所蔵 全29件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
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注記
Includes bibliographical references
"The Arnoldfest took place at the Fields Institute in Toronto from June 15 to 21, 1997" -- Pref
内容説明・目次
内容説明
This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over - including several from 'Arnold's school' - gave illuminating talks and lively poster sessions. The presentations focussed on Arnold's main areas of interest: singularity theory, the theory of curves, symmetry groups, dynamical systems, mechanics, and related areas of mathematics. The book begins with notes of three lectures by V. Arnold given in the framework of the Institute's Distinguished Lecturer program.The topics of the lectures are: From Hilbert's Superposition Problem to Dynamical Systems; Symplectization, Complexification, and Mathematical Trinities; and, Topological Problems in Wave Propagation Theory and Topological Economy Principle in Algebraic Geometry. Arnold's three articles include insightful comments on Russian and Western mathematics and science. Complementing the first is Jurgen Moser's 'Recollections', concerning some of the history of KAM theory.
目次
From Hilbert's superposition problem to dynamical systems by V. I. Arnold Recollections by J. Moser Symplectization, complexification and mathematical trinities by V. I. Arnold Topological problems in wave propagation theory and topological economy principle in algebraic geometry by V. I. Arnold Geometry and control of three-wave interactions by M. S. Alber, G. G. Luther, J. E. Marsden, and J. M. Robbins Standard basis along a Samuel stratum, and implicit differentiation by E. Bierstone and P. D. Milman A global weighted version of Bezout's theorem by J. Damon Real Enriques surfaces without real points and Enriques-Einstein-Hitchin 4-manifolds by A. Degtyarev and V. Kharlamov On the index of a vector field at an isolated singularity by W. Ebeling and S. M. Gusein-Zade The exponential map on $\mathcal{D}^s_\mu$ by D. G. Ebin and G. Misiolek Zeldovich's neutron star and the prediction of magnetic froth by M. H. Freedman Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds by K. Fukaya and K. Ono Multiplicity of a zero of an analytic function on a trajectory of a vector field by A. Gabrielov Singularity theory and symplectic topology by A. B. Givental On enumeration of meromorphic functions on the line by V. V. Goryunov and S. K. Lando Pseudoholomorphic curves and dynamics by H. Hofer and E. Zehnder Bifurcation of planar and spatial polycycles: Arnold's program and its development by Yu. S. Ilyashenko and V. Yu. Kaloshin Singularity which has no $M$-smoothing by V. M. Kharlamov, S. Yu. Orevkov, and E. I. Shustin Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces by B. Khesin and A. Rosly Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations by A. Khovanskii Interactions of Andronov-Hopf and Bogdanov-Takens bifurcations by W. F. Langford and K. Zhan Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group $E_{\tau,\eta}sl_2$ by E. Mukhin and A. Varchenko Schrodinger operators on graphs and symplectic geometry by S. P. Novikov On the dominant Fourier modes in the series associated with separatrix splitting for an a-priori stable, three degree-of-freedom Hamiltonian system by M. Rudnev and S. Wiggins Homology of $i$-connected graphs and invariants of knots, plane arrangements, etc. by V. A. Vassiliev On Arnold's variational principles in fluid mechanics by V. A. Vladimirov and K. I. Ilin On functions and curves defined by ordinary differential equations by S. Yakovenko Global finiteness properties of analytic families and algebra of their Taylor coefficients by Y. Yomdin.
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