6533b7dbfe1ef96bd1271297

RESEARCH PRODUCT

Internal Time and Innovation

Z. SuchaneckiZ. SuchaneckiI. AntoniouI. Antoniou

subject

Set (abstract data type)Stochastic processComputer scienceDifferential equationPhysical systemApplied mathematicsPoint (geometry)Random variableRealization (probability)Deterministic system

description

Consider a physical system that may be observed through time-varying quantities x t , where t stands for time that may be discrete or continuous. The set x t may be a realization of a deterministic system, e.g. a unique solution of a differential equation, or a stochastic process. In the latter case each x t is a random variable. We are interested in the global evolution of the system, not particular realizations x t , from the point of view of innovation. We call the evolution innovative if the dynamics of the system is such that there is a gain of information about the system as time increases. Our purpose is to associate the concept of internal time with such systems. The internal time will reflect the stage of evolution of the system.

yearjournalcountryeditionlanguage
2003-01-01
https://doi.org/10.1007/978-94-010-0155-7_20