  Statistics of classical Hamiltonian random walk of particle colliding with
atoms of ideal gas is considered from viewpoint of earlier suggested exact
pseudo-quantum path integral representation of the problem, and qualitative
agreement is demostrated between results of an naturally arising simple
approximation of this integral and results obtained by formally different
methods, thus in a new fashion showing inevitability of scaleless 1/f-type
fluctuations in rates of molecular Brownian motions and other dynamical
transport and evolution processes.
