Baker Response

Irreversible quantum baker map.

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...

Univalent Baker Domains

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.

The Peano-baker Series

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...

Families of Baker Domains Ii

Let f be a transcendental meromorphic function and U be an invariant Baker domain of f . We use estimates for the hyperbolic metric to show that there is a relationship between the size of U and the proximity of f in U to the identity function, and illustrate this by discussing how the dynamics of transcendental entire functions of the following form vary with the parameter a: f(z) = az + bzke−...

Rachel Baker Anna Bartczak Susan