23 research outputs found
The Asymptotic Number of Attractors in the Random Map Model
Get PDFThe random map model is a deterministic dynamical system in a finite phase
space with n points. The map that establishes the dynamics of the system is
constructed by randomly choosing, for every point, another one as being its
image. We derive here explicit formulas for the statistical distribution of the
number of attractors in the system. As in related results, the number of
operations involved by our formulas increases exponentially with n; therefore,
they are not directly applicable to study the behavior of systems where n is
large. However, our formulas lend themselves to derive useful asymptotic
expressions, as we show.Comment: 16 pages, 1 figure. Minor changes. To be published in Journal of
Physics A: Mathematical and Genera
Handbook of series for scientists and engineers
No full textHandbook of Series for Scientists and Engineer
Gratingâbased xâray differential phase contrast imaging with twin peaks in phaseâstepping curvesâphase retrieval and dewrapping
No full textComplex darkâfield contrast and its retrieval in xâray phase contrast imaging implemented with Talbot interferometry
No full textThe secondâorder differential phase contrast and its retrieval for imaging with xâray Talbot interferometry
No full text
