0000000000382851

AUTHOR

I. Antoniou

showing 2 related works from this author

Internal Time and Innovation

2003

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 w…

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

Implementability of Liouville Evolution, Koopman and Banach-Lamperti Theorems in Classical and Quantum Dynamics

2002

We extend the concept of implementability of semigroups of evolution operators associated with dynamical systems to quantum case. We show that such an extension can be properly formulated in terms of Jordan morphisms and isometries on non-commutative Lp spaces. We focus our attention on a non-commutative analog of the Banach-Lamperti theorem.

Statistics and ProbabilityPure mathematics82C10; 46L55Dynamical systems theory82C1046L55Quantum dynamicsComplex systemFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Extension (predicate logic)MorphismLp spaceFocus (optics)QuantumMathematical PhysicsMathematicsOpen Systems & Information Dynamics
researchProduct