European Congress of Mathematics : Budapest, July 22-26, 1996
著者
書誌事項
European Congress of Mathematics : Budapest, July 22-26, 1996
(Progress in mathematics, v. 168-169)
Birkhäuser, c1998
- v. 1 : sz
- v. 1 : us
- v. 2 : sz
- v. 2 : us
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注記
"This is the first volume of the proceedings of the second European Congress of Mathematics"--Back cover of v. 1
内容説明・目次
- 巻冊次
-
v. 1 : sz ISBN 9783764354978
内容説明
This is the first volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjorstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollar, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. Marz. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Muller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Poeschel, L. Polterovich , L. Pyber, N. Simanyi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua
目次
- Randomness and pseudo-randomness in discrete mathematics, N. Alon
- free discontinuity problems and special functions with bounded variation, L. Ambrosio
- recent connections and applications of planar quasiconformal mappings, K. Astala
- a combinatorial approach to combings and framings of 3-manifolds, R. Benedetti
- algebra and combinatorics, Ch. Bessenrodt
- some recent results for the Ginzburg-Landau equation, F. Bethuel
- mathematics, parallel computing and reservoir simulation, P. Bjorstad
- large deviations and perturbations of random walks and random surfaces, E. Bolthausen
- renormalization group for fronts and patterns, J. Bricmont, A. Kupiainen
- geometry of tori - Riamnnian versus Finsler? D. Burago
- counting curves on surfaces - - a guide to new techniques and results, L. Caporaso
- minimal surfaces in singular spaces, U. Dierkes
- surfaces in 3-torus -geometry of plane sections, I. Dynnikov
- one-dimensional quasi-periodic Schrodinger operators - dynamical systems and spectral theory, L.H. Eliasson
- Banach spaces with few operators, W.T. Gowers
- recent developments in the functions of the Bergman space, H. Hedenmalm
- extensions of motives, A. Huber
- boundary values of Dirichelet series and the distribution of primes, J. Kaczorowski
- low degree polynomial equations - arithmetic, geometry and topology, J. Kollar
- sufficient conditions of the uniform integrability of exponential martingales, D.O. Kramkov, A.N. Shiryaev
- on the Casson invariant, C. Lescop
- EXTRA-ordinary differential equations - attempts to an analysis of differential-algebraic systems, R. Marz.
- 巻冊次
-
v. 2 : sz ISBN 9783764354985
内容説明
This is the second volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjorstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollar, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. Marz. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Muller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Poeschel, L. Polterovich , L. Pyber, N. Simanyi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua.
目次
- Geometric set systems.- Recent developments in symplectic topology.- K-theory and algebraic groups.- Surprising geometric phenomena in high-dimensional convexity theory.- Microstructures, phase transition and geometry.- Different types of non-uniform hyperbolicity for interval maps are equivalent.- Metastability and typical exit paths in stochastic dynamics.- Rationality problems for group varieties.- Precise measurements in symplectic topology.- Nonlinear partial differential equations, Birkhoff normal forms, and KAM theory.- Group enumeration and where it leads us.- Studying dynamical systems with algebraic tools.- Mathematical results on the structure of large atoms.- Geography of irreducible 4-manifolds.- Transversals of d-intervals - comparing three approaches.- Algebras with involution and classical groups.- Huygens#x2019
- principle and integrability.- Some problems and results on the controllability of partial differential equations.- Round Tables.- (A) Electronic literature in mathematics.- (B) Mathematical Games.- (D) Women and mathematics.- (E) Public image of mathematics.- (G) Education.
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