Noncommuting random products

\random" Random Matrix Products

Multifractality of Random Products

Moments of the measure defined by products of random deviates are considered with the aim of reproducing the multifractal spectrum of the DiffusionLimited Aggregation (DLA) . appeared in: Journal of Technical Physics 37 (1996), pp.441-444 In 1981 Witten and Sander have proposed the Diffusion-Limited Aggregation (DLA) model [1] leading to the formation of fractal patterns. The growth process of ...

Random walks, random configurations, and horocyclic products

NONCOMMUTING f–CONTRACTION MAPPINGS

Some fixed and coincidence point theorems for R-weakly commuting mappings are obtained. Our results generalize some recent results of Daffer and Kaneko [2] and many of the others. AMS Mathematics Subject Classification (2000): 54H25

Symmetric Functions in Noncommuting Variables

Consider the algebra Q〈〈x1, x2, . . .〉〉 of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all elements invariant under permutation of the variables and of bounded degree. We develop a theory of such functions analogous to the ordinary theory of symmetric functions. In p...