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The Arnoldfest: Proceedings of a Conference in Honour of V. I. Arnold for his Sixtieth Birthday
About this Title
Edward Bierstone, University of Toronto, Toronto, ON, Canada, Boris Khesin, University of Toronto, Toronto, ON, Canada, Askold Khovanskii, University of Toronto, Toronto, ON, Canada and Jerrold E. Marsden, California Institute of Technology, Pasadena, CA, Editors
Publication: Fields Institute Communications
Publication Year:
1999; Volume 24
ISBNs: 978-0-8218-0945-7 (print); 978-1-4704-3048-1 (online)
DOI: https://doi.org/10.1090/fic/024
MathSciNet review: MR1733563
MSC: Primary 00B30
ReadershipTable of Contents
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Front/Back Matter
Chapters
- V. Arnold – From Hilbert’s superposition problem to dynamical systems
- Jürgen Moser – Recollections
- V. Arnold – Symplectization, complexification and mathematical trinities
- V. Arnold – Topological problems in wave propagation theory and topological economy principle in algebraic geometry
- Mark Alber, Gregory Luther, Jerrold Marsden and Jonathan Robbins – Geometry and control of three-wave interactions
- Edward Bierstone and Pierre Milman – Standard basis along a Samuel stratum, and implicit differentiation
- James Damon – A global weighted version of Bezout’s theorem
- Alexander Degtyarev and Viatcheslav Kharlamov – Real Enriques surfaces without real points and Enriques-Einstein-Hitchin 4-manifolds
- W. Ebeling and S. Gusein-Zade – On the index of a vector field at an isolated singularity
- David Ebin and Gerard Misiołek – The exponential map on $\mathcal {D}^s_\mu$
- Michael Freedman – Zeldovich’s neutron star and the prediction of magnetic froth
- Kenji Fukaya and Kaoru Ono – Arnold conjecture and Gromov-Witten invariant for general symplectic manifolds
- Andrei Gabrielov – Multiplicity of a zero of an analytic function on a trajectory of a vector field
- Alexander Givental – Singularity theory and symplectic topology
- V. Goryunov and S. Lando – On enumeration of meromorphic functions on the line
- H. Hofer and E. Zehnder – Pseudoholomorphic curves and dynamics
- Yu. Ilyashenko and V. Kaloshin – Bifurcation of planar and spatial polycycles: Arnold’s program and its development
- V. Kharlamov, S. Orevkov and E. Shustin – Singularity which has no $M$-smoothing
- Boris Khesin and Alexei Rosly – Symplectic geometry on moduli spaces of holomorphic bundles over complex surfaces
- A. Khovanskii – Newton polyhedra, a new formula for mixed volume, product of roots of a system of equations
- William Langford and Kaijun Zhan – Interactions of Andronov-Hopf and Bogdanov-Takens bifurcations
- E. Mukhin and A. Varchenko – Solutions of the qKZB equation in tensor products of finite dimensional modules over the elliptic quantum group $E_{\tau ,\eta }sl_2$
- S. Novikov – Schrodinger operators on graphs and symplectic geometry
- Michael Rudnev and Stephen Wiggins – On the dominant Fourier modes in the series associated with separatrix splitting for an a-priori stable, three degree-of-freedom Hamiltonian system
- V. Vassiliev – Homology of $i$-connected graphs and invariants of knots, plane arrangements, etc.
- V. Vladimirov and K. Ilin – On Arnold’s variational principles in fluid mechanics
- Sergei Yakovenko – On functions and curves defined by ordinary differential equations
- Y. Yomdin – Global finiteness properties of analytic families and algebra of their Taylor coefficients