STATISTICAL THEORY OF FRICTION IN INTERACTION OF A NANOPROBE WITH THE SURFACE OF A SOLID BODYS. Sh. Rekhviashvili UDC 539.61 Consideration is given to the statistical theory of friction between the probe of an atomic-force microscope and the atomically smooth surface of a solid body. Based on the calculations performed it has been inferred that the process of friction in nanocontacts is fractal. It has been shown that the fractal integro-differentiation formalism can be applied to analysis of the processes of interaction in nanocontacts. Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nal'chik, Russia; email: firstname.lastname@example.org. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 76, No. 4, pp. 168-170, July-August, 2003. Original article submitted July 5, 2002; revision submitted November 26, 2002.