1. Energy dissipative kinetic equations

19. v

37. Central Limit Theorem NESS

40. Typical Spectral function for Maxwell type models For p 0 >1 and 0<p< p 0 p0p0 1 μ(p) μ(1) μ(p) Self similar asymptotics for: For any initial state φ(x) = 1 – x p + x (p+Є), p ≤ 1. Decay rates in Fourier space: (p+Є)(μ * - μ(p +Є)) For finite (p=1) or infinite (p<1) initial energy. For p 0 < 1 and p=1 No self-similar asymptotics with finite energy s For μ(1) = μ(s), s >p 0 >1 Power tails

44. )

74. For references see www.ma.utexas.edu/users/gamba/research and references thereinwww.ma.utexas.edu/users/gamba/research Thank you !