Let (, S, P) be a probability space, T:→ be a measure preserving map, ie, T− 1 (A)∈ S and P
(T− 1 (A))= P (A) for any A∈ S. Let ξ:→ R be an integrable random variable with the mean …

169 TWO NOTES ON THE INDIVIDUAL ERGODIC THEOREM. Beloslav Rielan 1 ^ The
paper consists of two parts. The first part is devoted Page 1 169 TWO NOTES ON THE …

The notion of dynamical semigroup is introduced in the quantum logic scheme on the set of
the states. Under suitable nonempty mathematical assumptions it is shown that a …

The classical individual ergodic theorem of G. Birkhoff states that if (X, 5^,\i) is a probability
measure space, T is a measure-preserving transformation of X and/is an integrable real (or …

It is not understood why classical logic fails. Generally, it seems to be accepted as evidence
for indeterminism. But it can be interpreted also as a consequence of some fundamental …

Random processes associated with observable quantities in quantum mechanics (Journal
Article) | OSTI.GOV skip to main content Sign In Create Account Show search Show menu …

Joint distributions of observables on quantum logics Page 1 International Journal of
Theoretical Physics, Vol. 17, No. 9 (1978), pp. 665-675 Joint Distributions of Observables …

Quantum logics, vector-valued measures and representations Page 1 ANNALES DE L’IHP,
SECTION A SYLVIA PULMANNOVÁ ANATOLIJ DVURE ˇCENSKIJ Quantum logics, vector-valued …

Ergodic theory has become a very huge discipline since the pioneering work of Birkhoff,
Hopf, von Neumann, Poincare, Riesz and others. Hence to make a few introductory and …

Invariant Observables and the Individual Ergodic Theorem Page 1 International Journal of
Theoretical Physics, Vol. 44, No. 9, September 2005 ( C 2005) DOI: 10.1007/s10773-005-4831-6 …