Dynamics days in Sirius. 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 Dymov Andrey Victorovich , Steklov Mathematical Institute of Russian Academy of Sciences, Moscow Il'ichev Andrej Teimurazovich , Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Financial support
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 October 28, 2024
2.
Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds October 28, 2024
3.
Motion of particles in the field of nonlinear wave packets and dark solitons in a fluid beneath an ice cover October 28, 2024
4.
Hamiltonian theory for confinement of charged particles by magnetic fields October 28, 2024
5.
Six problems in classical KAM Theory October 28, 2024
6.
The two Levi-Civita regularizations October 28, 2024
7.
NMS-flows on 4-manifolds October 28, 2024
8.
Minimum number of non-wandering points in addition to expanding attractors October 28, 2024
9.
Another billiard problem October 28, 2024
10.
Quasi-satellites and mini-moons October 28, 2024
October 29, 2024 (Tue)
11.
Mathematical aspects of brain growth modeling October 29, 2024
12.
Spatial dynamics of some 6th-order ODE from the theory of phase transitions October 29, 2024
13.
Existence of localized motions near an unstable equilibrium position October 29, 2024
14.
Dissipative effects in Hamiltonian mean-field model October 29, 2024
15.
On some geometric ideas in the method of averaging October 29, 2024
16.
Adiabatic approximation in quantum and classical mechanics, semi-rigid wall billiards and long nonlinear coastal waves October 29, 2024
17.
Nonlinear long standing waves with support bounded by caustics or localized in the vicinity of a two-link trajectory October 29, 2024
18.
Path optimization in inhomogeneous media by a direct approach October 29, 2024
19.
Lagrangian manifolds with degenerate fold and applications to the theory of wave beams October 29, 2024
20.
Birkhoff billiards in cones October 29, 2024
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 October 29, 2024
22.
Dynamic of a spinning heavy disk in an ideal fluid October 29, 2024
23.
Morse-Smale systems on simply connected manifolds October 29, 2024
October 31, 2024 (Thu)
24.
Long-time behaviour of trajectories for dynamical systems with random forces: non-Markov case October 31, 2024
25.
If a Minkowski Finsler billiard is projective, then it is a standard billiard October 31, 2024
26.
The Gaussian multiplicative chaos for the sine-process October 31, 2024
27.
Codimension one basic sets of Axiom A flows October 31, 2024
28.
Tensor invariants and conservation laws in mechanics October 31, 2024
29.
Construction of a three-dimensional bifurcation diagram in the problem of a rigid body rolling on a plane October 31, 2024
30.
Rigorous derivation of the wave kinetic equation in subcritical scaling without Feynman diagrams October 31, 2024
31.
Peierls' theory of thermal conductivity and the method of quasisolutions October 31, 2024
November 1, 2024 (Fri)
32.
On probability of capture into 1:1 ground-track resonance while descending towards an asteroid November 1, 2024
33.
Admissibility of discontinuities in the solutions of a hyperbolic $2\times 2$ system of conservation laws November 1, 2024
34.
Semi-classical Asymptotics for Dirac Equations in Abruptly Varying External Fields November 1, 2024
35.
On quantum Floquet theorem November 1, 2024
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