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Random cyclic transformations of points
Published online by Cambridge University Press: 14 July 2016
Abstract
We consider the action of independent and identically distributed n × n circulants S1, S2, … on V = [v1, …, vn] whose columns are the positions of n points in ℝd. The positions of the n points after m transformations are the columns of W(m) = VS1 … Sm. We describe, in several ways, the shape of the configuration of the points W(m) as m →∞. When n = 3, 4 and d = 2, a special discussion in terms of Moebius transformations is given.
Keywords
- Type
- Part 6—Allied Stochastic Processes
- Information
- Journal of Applied Probability , Volume 23 , Issue A: Essays in Time Series and Allied Processes , 1986 , pp. 369 - 382
- Copyright
- Copyright © 1986 Applied Probability Trust