We show that the dilaton beta-function equation in such a sigma-model has t
he form of a stochastic Langevin equation with non-Markovian noise. The wor
ldsheet cut-off is identified with stochastic time and the V-5-operator pla
ys the role of the noise. We derive the Fokker-Planck equation associated w
ith this stochastic process and show that the Hamiltonian of the AdS(5) sup
ergravity defines the distribution satisfying this Fokker-Planck equation.
This means that the dynamical compactification of the spacetime on AdS(5) x
S-5 occurs as a result of the non-Markovian stochastic process, generated
by the Vs-operator noise. This provides us with an insight into relations b
etween the holography principle and the concept of stochastic quantization
from the point of view of critical string theory.