Fractal properties of stellar systems and random forces
  The nearest neighbor distribution (Chandrasekhar 1943) is generalized to
fractal stellar systems.For such systems an asymptotic distribution of the
magnitude of large random forces and a formula for the effective mean
interparticle spacing are derived. It is shown that in the case of a power-law
distribution of conditional density the derived asymptotic fully agrees with
the results obtained in terms of a general approach. It is concluded that large
random forces in a fractal stellar medium are due entirely to the nearest
neighbors (clumps) located inside the sphere of the effective radius determined
from the generalized Holtsmark distribution.
