| Speakers |
Titles |
| V.I. Arnold |
Kolmogorov and natural science |
| L. Carleson |
A.N. Kolmogorov and the convergence of Fourier series |
| L.D. Faddeev |
Algebraic structures generated by quantum integrable
models |
| U. Frisch |
Back to the primordial universe by a Monge-Ampere-Kantorovich
mass transportation method |
| F. Hirzebruch |
Topology and Geometry in the work of A.N.Kolmogorov |
| S.P. Novikov |
Fermi surfaces and dynamics systems |
| J. Palis |
A global view of non-conservative dynamics |
| Yu.V. Prokhorov |
Randomness and uniform distributions |
| Ya.G. Sinai |
Number-theoretic dynamical systems |
| S. Smale |
The mathematics of intelligence: dealing with data |
| S.R.S. Varadhan |
Large Deviations for Random Walks in a random environment |
| A.G. Vitushkin |
The Thirteenth Hilbert problem and some related problems |
| Speakers | Titles |
| A. Douady |
Present state of the question of Julia sets of positive measure |
| R.I. Grigorchuk |
The Ihara zeta function for infinite groups and graphs, the KNS spectral measure and integrable maps |
| A. Katok |
Entropy in dynamics: 1958--2003 |
| K. Khanin |
Renormalization in dynamics |
| V.V. Kozlov |
The statistical theory of Hamiltonian systems |
| G. Margulis |
Flows on homogeneous spaces and number theory |
| J. Mather | Action minimizing sets |
| A.I. Neistadt |
Averaging of perturbations |
| D. Ornstein |
An elementary approach to the KAM Theory |
| Ya.B. Pesin |
Stable ergodicity and smooth ergodic theory |
| M. Ratner |
Subgroup actions on homogeneous spaces and applications |
| C. Simo |
Upper bounds of the metric entropy for a family
of APM diffeomorphisms of S^2 |
| A.M. Vershik |
Invariant measures and Kolmogorov’s effect |
| Speakers | Titles |
| N.S. Bakhvalov |
A.N. Kolmogorov and optimization of numerical methods
|
| S.V. Bochkarev |
Everywhere divergent Fourier-Walsh series
|
| Z. Ciesielski |
Fractal functions, random fields and bases |
| F. Delbaen |
Functional analysis and financial mathematics |
| R. De Vore |
Analog to digital conversion |
| V.N. Dubinin |
Symmetrization of condensers applied in the geometric
theory of functions |
| B.S. Kashin |
Orthogonality and geometry of finite-dimensional
spaces |
| S.V. Konyagin |
Divergence of trigonometric Fourier series |
| V. Milman |
The flavours of asymptotic geometric analysis |
| A. Olevskii |
Representation of functions by exponentials with
positive frequencies |
| P. Oswald |
Multiscale analysis for subdivision schemes and
PDE solvers |
| E. Rakhmanov |
Problem of equilibrium in a conducting domain and
its applications |
| B.H. Sendov |
Hausdorff distance and image processing |
| Yu.N. Subbotin |
The Kolmogorov diameters and extremal properties
of systems of functions |
| A. Volberg |
Removable sets for Lipschitz harmonic functions:
analogs of Vitushkin's conjecture in space |
| Speakers |
Titles |
| L. Accardi |
Quantum theory and non Kolmogorovian probabilities |
| O.E. Barndorff-Nielsen |
Levy-based tempo-spatial modelling;
with application to turbulence |
| A.A. Borovkov |
Kolmogorov and boundary crossing of probability
theory |
| H. Buehlmann |
Multidimensional actuarial valuation |
| L. Chen |
Variations on a theme of Poisson |
| D. Donoho |
To be announced |
| E.B. Dynkin |
Superdiffusions and positive solutions of nonlinear
partial differential equations |
| E. Eberlein |
Application of Levy models in finance |
| P. Embrechts |
Ruin, operational risk and time change |
| F. Goetze |
Asymptotic distribution of nonlinear statistics |
| J. Jacod |
Euler schemes for Levy driven equations: theory and practice |
| S.L. Lauritzen |
Graphical models for genetic analyses |
| V.P. Maslov |
Phase transitions in probability games |
| B. Oksendal, A. Sulem |
Stochastic control of systems driven by Levy processes
and application to finance |
| Yu. Peres |
Favorite points and the largest disc covered by
a simple random walk |
| A.V. Skorokhod |
Measure-valued diffusions |
| V.A. Vatutin |
Branching processes in random environment |
| Speakers |
Titles |
| S.N. Artemov |
Kolmogorov and Goedel on intuitionistic logic: recent
developments |
| L. Beklemishev |
Independent combinatorial principles and provability algebras |
| Yu.L. Ershov |
Theory of numberings |
| Yu. Gurevich |
From Kolmogorov machines to abstract state machines
|
| J. Hartmanis |
Kolmogorov complexity and computational complexity |
| L. Levin |
Unsolvability and problems with multiple solutions
|
| O.B. Lupanov |
A.N. Kolmogorov and mathematical theory of schemes complexity |
| P.E.R. Martin-Löf |
Can classical mathematics be intepreted constructively? |
| Yu.V. Matiyasevich |
Diophantine version of Kolmogorov complexity |
| A.A. Muchnik, A.L. Semenov |
40 Years of the Origin of Kolmogorov Randomness Theory |
| A. Shen, N. Vereshchagin |
Kolmogorov interpretation of intuitionistic logic
and Kolmogorov complexity |
| D. Van Dalen |
Kolmogorov and Brouwer on constructive implication and the ex falso rule |
| P. Vitanyi |
Kolmogorov’s structure functions with an application
to the foundations of model selection |
| Speakers |
Titles |
| G.I. Barenblatt | Turbulent boundary layers at very high Reynolds numbers |
| Ya. Brenier |
To be announced |
| P. Constantin |
Bounds on Turbulent Transport |
| G.S. Golitsyn |
Kolmogorov ideas for turbulence in other areas of
hydrodynamics, geophysics and astrophysics |
| S.B. Kuksin |
Ergodic theorems in 2D statistical hydrodynamics |
| B.L. Rozovsky |
Stochastic Navier-Stokes equations: propagation
of chaos and statistical moments |
| A.L. Shnirelman |
Inverse cascade solutions of 2-d Euler equations |
| R. Temam |
Remarks on the cascades of energy and enstrophy
in 2D and 3D turbulent flows |
| M.I. Vishik |
Global attractor for nonautonomous 2D Navier-Stokes
system with rapidly oscillating forcing term |
| V.I. Yudovich | Cosymmetry and its application in fluid dynamics |
| V. Zakharov |
Kolmogorov spectra in weak turbulence |
| Speakers |
Titles |
| A.A. Bolibrukh |
The universal inverse monodromy problem |
| V.M. Buchstaber |
Kolmogorov, cohomology and cobordisms |
| D. Burago |
On partially hyperbolic diffeomorphisms of 3-manifolds |
| B.A. Dubrovin |
On algebraic Frobenius manifolds |
| I.A. Dynnikov |
New approaches to knot theory |
| Y. Eliashberg |
Symplectic field theory and its applications |
| A.B. Givental |
Symplectic geometry of Frobenius structures |
| Yu.S. Ilyashenko |
Persistence problems for complex foliations and
Kupka-Smale property for Henon maps |
| V. Kharlamov |
Welschinger invariant and enumeration of real rational plane curves |
| B.A. Khesin |
Evolution equations on the Virasoro group: geometry
and integrability |
| A.G. Khovanskii |
Topological version of the Galois theory |
| I.M. Krichever |
Integrable chains on algebraic curves |
| E. Rees |
Rings of continuous functions and symmetric products |
| I.A. Taimanov |
Integrability and nonintegrability of geodesic flows |
| V.A. Vassiliev |
Geometry of discriminants and classical homotopy
topology |