The Feigenbaum constants arise in the theory of iteration of real functions. We calculate here to high precision the constants a and S associated with period-doubling bifurcations for maps with a single maximum of order z , for 2 < z < 12. Multiple-precision floating-point techniques are used to find a solution of Feigenbaum's functional equation, and hence… (More)
I discuss the design and performance issues arising in the efficient implementation of the scaled-integer exact real arithmetic model introduced by Boehm and others. This system represents an real number with a automatically controlled level of precision by a rational with implicit denominator. I describe three practical codes, in python, C ++ and C. These… (More)
Exact real arithmetic – p.1/35
We demonstrate that the distribution of train delays on the British railway network is accurately described by q-exponential functions. We explain this by constructing an underlying superstatistical model.