In the inhomogeneous collisionless system the collective modes are constructed in the physical representation using the method of subdynamics. They correspond to the explicit solutions of the non-linear Vlasov equation and they appear as the generalization of the van Kampen-Case treatment. The...

The Friedrichs model of an unstable particle provides us with a non-trivial example of a dynamical system with a continuous spectrum. The non-unitary transformation operator which leads in our approach to a semi-group description of the time evolution of the system has been constructed in...

Within the intensive care environment, large data-bases exist, recording patient, ICU, and hospital details. For the last 20 years, a number of competing algorithms have been developed to generate risk-adjusted outcomes for patients; the most well known is the APACHE II (acute physiology and...

The present work is devoted to the following question: What is the relation between the deterministic laws of dynamics and probabilistic description of physical processes?

A two-level system interacting with the radiation field is considered. The time-dependent self-dressing of its bare ground state is studied. The time evolution of the system is discussed within the theory of subdynamics. Investigation of the long-time behaviour is the main point of this paper....

Simple mechanisms through which nonequilibrium structures can be influenced by external fields are discussed. It is shown that a very weak gravitational or electric field can have a large influence on selection or creation of structures. In the absence of cooperativity, the influence of a weak...

The work of the Austin-Brussels group on the microscopic origin of irreversibility is described. Using extensions of the traditional Hilbert space and Poincaré's nonintegrability, we obtain new formulations of laws of dynamics which can be expressed only in terms of probabilities (and not in...