Estimating the Hölder Exponents Based on the -Complexity of Continuous Functions: An Experimental Analysis of the Algorithm.

This paper describes one method for estimating the Hölder exponent based on the -complexity of continuous functions, a concept formulated lately. Computational experiments are carried out to estimate the Hölder exponent for smooth and fractal functions and study the trajectories of discrete deterministic and stochastic systems. The results of these experiments are presented and discussed. [ABSTRACT FROM AUTHOR]