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This article extends the results of [3] by establishing sufficient conditions for the limit distribution of products of i.i.d. 2 x 2 random stochastic matrices to be continuous singular, when the support of the distribution of the individual random
The general theories of the derivation of inverses of functions from their power series and asymptotic expansions are discussed and compared. The asymptotic theory is applied to obtain asymptotic expansions of the zeros of the Airy functions and their
Multimedia content is designed for many purposes and the services that are associated with them rely heavily on technologies that address representation, processing, and transmission of that content. This paper presents a new model that refines the
We present the theoretical basis for a novel way of studying and representing the long time behavior of finite dimensional maps. It is based on the sample paths of a Markov chain. Applications of the method to the approximation of attractors of maps and to
Linear least-square modeling is a powerful modeling approach. Optimal piece-wise constant modeling is an important special case. In this paper we will develop a piece-wise constant modeling method that preserves the regional means and regional first