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Dynamics days in Sirius.
On the occasion of academician Dmitry V. Treschev’s anniversary
(October 28–November 1, 2024, Sirius Mathematics Center, Sochi)

Program

Organizers
Kozlov Valery Vasil'evich, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Chugainova Anna Pavlovna, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Il'ichev Andrej Teimurazovich, Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Financial support
The conference is supported by the International Sirius Mathematics Center and by the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, agreement no. 075-15-2022-265).


Institutions
Sirius Mathematics Center
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center


Dynamics days in Sirius. On the occasion of academician Dmitry V. Treschev’s anniversary, Sochi, October 28–November 1, 2024

October 28, 2024 (Mon)
1. Remarks on recurrence of Birkhoff sums
V. V. Kozlov
October 28, 2024 10:00–10:40, Sochi, Sirius Mathematics Center
2. Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds
I. A. Taimanov
October 28, 2024 10:40–11:20, Sochi, Sirius Mathematics Center
3. Motion of particles in the field of nonlinear wave packets and dark solitons in a fluid beneath an ice cover
A. T. Il'ichev
October 28, 2024 11:20–11:50, Sochi, Sirius Mathematics Center
4. Hamiltonian theory for confinement of charged particles by magnetic fields
R. S. MacKay
October 28, 2024 12:30–13:00, Sochi, Sirius Mathematics Center
5. Six problems in classical KAM Theory
L. Chierchia
October 28, 2024 13:00–13:30, Sochi, Sirius Mathematics Center
6. The two Levi-Civita regularizations
A. Albouy
October 28, 2024 13:30–14:00, Sochi, Sirius Mathematics Center
7. NMS-flows on 4-manifolds
O. V. Pochinka
October 28, 2024 15:00–15:30, Sochi, Sirius Mathematics Center
8. Minimum number of non-wandering points in addition to expanding attractors
M. K. Barinova
October 28, 2024 15:30–15:50, Sochi, Sirius Mathematics Center
9. Another billiard problem
S. V. Bolotin
October 28, 2024 15:50–16:20, Sochi, Sirius Mathematics Center
10. Quasi-satellites and mini-moons
V. V. Sidorenko
October 28, 2024 16:20–16:50, Sochi, Sirius Mathematics Center

October 29, 2024 (Tue)
11. Mathematical aspects of brain growth modeling
P. I. Plotnikov
October 29, 2024 09:30–10:10, Sochi, Sirius Mathematics Center
12. Spatial dynamics of some 6th-order ODE from the theory of phase transitions
L. M. Lerman
October 29, 2024 10:10–10:40, Sochi, Sirius Mathematics Center
13. Existence of localized motions near an unstable equilibrium position
T. V. Salnikova
October 29, 2024 10:40–11:10, Sochi, Sirius Mathematics Center
14. Dissipative effects in Hamiltonian mean-field model
A. A. Aleksandrov
October 29, 2024 11:10–11:30, Sochi, Sirius Mathematics Center
15. On some geometric ideas in the method of averaging
I. Yu. Polekhin
October 29, 2024 12:00–12:30, Sochi, Sirius Mathematics Center
16. Adiabatic approximation in quantum and classical mechanics, semi-rigid wall billiards and long nonlinear coastal waves
S. Yu. Dobrokhotov
October 29, 2024 12:30–13:00, Sochi, Sirius Mathematics Center
17. Nonlinear long standing waves with support bounded by caustics or localized in the vicinity of a two-link trajectory
A. I. Klevin
October 29, 2024 13:00–13:20, Sochi, Sirius Mathematics Center
18. Path optimization in inhomogeneous media by a direct approach
I. A. Nosikov
October 29, 2024 13:20–13:40, Sochi, Sirius Mathematics Center
19. Lagrangian manifolds with degenerate fold and applications to the theory of wave beams
A. V. Tsvetkova
October 29, 2024 13:40–14:00, Sochi, Sirius Mathematics Center
20. Birkhoff billiards in cones
A. E. Mironov
October 29, 2024 15:00–15:40, Sochi, Sirius Mathematics Center
21. Application of the Kovacic algorithm to study the problem of the motion of a heavy gyrostat with a fixed point in the integrable Hess case
A. S. Kuleshov
October 29, 2024 15:40–16:10, Sochi, Sirius Mathematics Center
22. Dynamic of a spinning heavy disk in an ideal fluid
M. A. Garbuz
October 29, 2024 16:10–16:30, Sochi, Sirius Mathematics Center
23. Morse-Smale systems on simply connected manifolds
I. A. Saraev
October 29, 2024 16:30–16:50, Sochi, Sirius Mathematics Center

October 31, 2024 (Thu)
24. Long-time behaviour of trajectories for dynamical systems with random forces: non-Markov case
S. B. Kuksin
October 31, 2024 09:30–10:10, Sochi, Sirius Mathematics Center
25. If a Minkowski Finsler billiard is projective, then it is a standard billiard
A. A. Glutsyuk
October 31, 2024 10:10–10:40, Sochi, Sirius Mathematics Center
26. The Gaussian multiplicative chaos for the sine-process
A. I. Bufetov
October 31, 2024 10:40–11:10, Sochi, Sirius Mathematics Center
27. Codimension one basic sets of Axiom A flows
E. V. Zhuzhoma
October 31, 2024 11:10–11:40, Sochi, Sirius Mathematics Center
28. Tensor invariants and conservation laws in mechanics
I. S. Mamaev
October 31, 2024 12:10–12:40, Sochi, Sirius Mathematics Center
29. Construction of a three-dimensional bifurcation diagram in the problem of a rigid body rolling on a plane
A. A. Kilin
October 31, 2024 12:40–13:10, Sochi, Sirius Mathematics Center
30. Rigorous derivation of the wave kinetic equation in subcritical scaling without Feynman diagrams
A. V. Dymov
October 31, 2024 13:10–13:40, Sochi, Sirius Mathematics Center
31. Peierls' theory of thermal conductivity and the method of quasisolutions
A. A. Elokhin
October 31, 2024 13:40–14:00, Sochi, Sirius Mathematics Center

November 1, 2024 (Fri)
32. On probability of capture into 1:1 ground-track resonance while descending towards an asteroid
A. I. Neishtadt
November 1, 2024 10:00–10:30, Sochi, Sirius Mathematics Center
33. Admissibility of discontinuities in the solutions of a hyperbolic $2\times 2$ system of conservation laws
R. R. Polekhina
November 1, 2024 10:30–11:00, Sochi, Sirius Mathematics Center
34. Semi-classical Asymptotics for Dirac Equations in Abruptly Varying External Fields
A. I. Shafarevich
November 1, 2024 11:00–11:40, Sochi, Sirius Mathematics Center
35. On quantum Floquet theorem
D. V. Treschev
November 1, 2024 12:10, Sochi, Sirius Mathematics Center
 
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