The perturbative QCD approach to multiparticle production assuming Loc
al Parton Hadron Duality (LPHD) and some recent results are discussed.
Finite asymptotic scaring limits are obtained for various observables
, after an appropriate rescaling, in the Double Logarithmic Approximat
ion (DLA). Non-asymptotic corrections are also known in some cases. Th
e DLA applies also to very soft particle production where energy conse
rvation constraints can be neglected. In this region the particle dens
ity follows rather well a scaling behaviour over the full energy range
explored so far in e(+)e(-) annihilation.