We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be quantized by means of a unitary Floquet operator. A corresponding quantum system is constructed as a completely positive map acting in the space of density matrices. We investigate spectral properties of t...

We classify Baker domains U for entire maps with fj U univalent into three diierent types, giving several criteria which characterize them. Some new examples of such domains are presented, including a domain with disconnected boundary in C and a domain which spirals towards innnity.

Abstract. This note reviews the Peano-Baker series and its use to solve the general linear system of ODEs. The account is elementary and self-contained, and is meant as a pedagogic introduction to this approach, which is well known but usually treated as a folklore result or as a purely formal tool. Here, a simple convergence result is given, and two examples illustrate that the series can be u...

occupational asthma has been reported  to  be the most  common  chronic respiratory occupational disease in many developed countries, and  as with other  occupational lung diseases, occupational asthma is potentially preventable. we report  the case of a 24-year-old baker who experienced pneumomediastinum as a consequence of workplace exposure. this is the first report of pneumomediastinum as a...