Multifractal expansions and kinetic surface roughening processes

An analytic continuation method has been developed to improve the multifractal analytic expansions approach to the kinetic surface roughening processes; An analytic result for the dependence of the roughness exponent H-q on the index q of the moments of the pair correlation function is obtained using this method. Application of the method to some geometrical models is discussed, and good agreement established with results of numerical simulations of the molecular beam epitaxy obtained by different authors.