Scaling observation with complex‐valued coefficients: some remarks and prospects

Abstract

Three kinds of observations are usually used in the modelling of general systems: Gallilean observation, observation with informational invariance and scaling observation. All these models presuppose the invariance of the dimension of the system under consideration. The purpose of the present paper is to examine what happens when the observation process increases this dimension. A 1‐D co‐ordinate switches to a 2‐D co‐ordinate. Complex‐valued random variables are used to describe this approach. Prospects of applications are outlined.

Citation

Jumarie, G. (2002), "Scaling observation with complex‐valued coefficients: some remarks and prospects", Kybernetes, Vol. 31 No. 5, pp. 682-700. https://doi.org/10.1108/03684920210428227