منابع مشابه
Absorbing sets and Baker domains for holomorphic maps
We consider holomorphic maps f : U → U for a hyperbolic domain U in the complex plane, such that the iterates of f converge to a boundary point ζ of U . By a previous result of the authors, for such maps there exist nice absorbing domains W ⊂ U . In this paper we show that W can be chosen to be simply connected, if f has parabolic I type in the sense of the Baker–Pommerenke–Cowen classification...
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We present a broad family of quantum baker maps that generalize the proposal of Schack and Caves to any even Hilbert space with arbitrary boundary conditions. We identify a structure, common to all maps consisting of a simple kernel perturbed by diffraction effects. This "essential" baker's map has a different semiclassical limit and can be diagonalized analytically for Hilbert spaces spanned b...
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Average exit time for volume-preserving maps.
For a volume-preserving map, we show that the exit time averaged over the entry set of a region is given by the ratio of the measure of the accessible subset of the region to that of the entry set. This result is primarily of interest to show two things: First, it gives a simple bound on the algebraic decay exponent of the survival probability. Second, it gives a tool for computing the measure ...
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This document contains a rough summary of the main theorems discussed during the mini-course on Baker-Beynon Duality for unital latticeordered Abelian groups and MV-algebras held at Bowling Green State University from 8.VI.2009 through 12.VI.2009, with references to the original sources. Bibliographic Note. The standard reference on MV-algebras is [10]. It develops all of the basic theory in ca...
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ژورنال
عنوان ژورنال: Bulletin of the Polish Academy of Sciences Mathematics
سال: 2006
ISSN: 0239-7269,1732-8985
DOI: 10.4064/ba54-3-4