Contents

Introduction. pp. 2-3.

A. Lykov, M. Melikian. Long Time Behavior of Infinite Harmonic Chain with  l_{2}-initial conditions. pp. 5-26.

A. Lykov, V. Malyshev. Uniformly Bounded Initial Chaos in Large System Often Intensifies Infinitely. pp. 27-44.

A. Lykov, V. Malyshev. How Smooth should be the System Initially to Escape Unbounded Chaos. pp. 45-93.

A. Lykov. Energy Growth of Infinite Harmonic Chain under Microscopic Random Influence. pp. 95-110.

V. Malyshev, S. Pirogov, E. Petrova. Asymptotically Solid Systems of Point Particles. pp. 111-119.

V. Goriachkin, T. Turova. Linear Dissipative Force as a Result of Discrete Time Collisions. pp. 121-142.

O. N. Khripunov. Fixed Points for Simplest Piece-Wise Constant External Force. pp. 143-145.

H. Ekström. The Phases of a Discrete Flow of Particles on Graphs. pp. 147-166.

M. Ryazanov, A. Zamyatin. One Particle Subspaces for $\boldsymbol{n}$ Particle Quantum Walks with Ultralocal Interaction. pp. 167-181.