  The 1/f-noise is considered which has no relation to long-lasting processes
but originates from the same dynamical mechanisms as what are responsible for
the loss of memory, fast relaxation and usual shot noise.
  The universal long-range statistics of memoryless random flows of events and
of related Brownian motion is analysed whose peculiarity is close connection
between spectral properties and non-Gaussian probabilistic properties both
determined by only short-range characteristic time scales.
  The exact relations between equilibrium and non-equilibrium 1/f-noise in
thermodynamical systems are presented. The existence of long-living
higher-order correlations and flicker noise in the Kac's ring model is
demonstrated.
  It is shown that conventional Boltzmannian gas kinetics losses 1/f-noise
because incorrectly takes into account the conservation of particles and
probabilities in collision events. The correctly performed translation of BBGKY
hierarchy into kinetical language, under Boltzmann-Grad limit, results in
infinite chain of kinetical equations which describe probability distributions
on the hypersurfaces corresponding to encounters and collisions of particles.
These equations can be reduced to Boltzmann's equation only in the limit of
spatially uniform gas, but generally forbid the molecular chaos. If being
applied to Brownian motion of gas particles, the theory yields 1/f fluctuations
of self-diffusivity and mobility. This is example of Hamiltonian dynamics which
produces 1/f-noise without any slow processes and long life-times.
