New methods to test whether a time series is i.i.d. are proposed in a recent series of papers (Matilla-García [2007], Matilla-García and Marín [2008], Matilla-García and Marín [2009], and Matilla-García et al. [2010]). The main idea is to map m-histories of a time series onto elements of...

New methods to test whether a time series is i.i.d. are proposed in a recent series of papers (Matilla-García [2007], Matilla-García and Marín [2008], Matilla-García and Marín [2009], and Matilla-García et al. [2010]). The main idea is to map m-histories of a time series onto elements of...

Pseudo Random Number Generators (PRNG) have attracted intense attention due to their obvious importance for many branches of science and technology. A randomizing technique is a procedure designed to improve the PRNG randomness degree according the specific requirements. It is obviously...

In a recent paper Matilla-García and Marín (2010) propose a novel test to determine whether the dynamics of a time series are generated by a deterministic or a stochastic process. The results presented in the paper need some clarifications.

New methods to test whether a time series is i.i.d. are proposed in a recent series of papers (Matilla-García [2007], Matilla-García and Marín [2008], Matilla-García and Marín [2009], and Matilla-García et al. [2010]). The main idea is to map m-histories of a time series onto...

In a recent paper López et al. (2010) introduce a new test for spatial independence. The test is a generalization of tests developed in Matilla-García (2007) and Matilla-García and Marín (2008). The results derived need some clarification.

A dynamical-systems-based model of computation is studied. We demonstrate the computational ability of nonlinear mappings. There exists a switching map system with two types of baker's map to emulate any Turing machine. Taking non-hyperbolic mappings with second-order nonlinearity (e.g., the...

In this paper we apply the techniques of symbolic dynamics and chaos control to the analysis of a labor market model which shows chaotic behavior and large volatility in employment flows. The possibility that chaotic dynamics may arise in modern labor markets had been totally strange to...