76 citations · 251 across the 13 of their papers we have counts for
5 papers · 1 filter
On entropy, entropy-like quantities, and applications
José M. Amigó, Karsten Keller, Valentina Unakafova
This is a review on entropy in various fields of mathematics and science. Its scope is to convey a unified vision of the classical as well as some newer entropy notions to a broad…
Equality of Kolmogorov-Sinai and permutation entropy for one-dimensional maps consisting of countably many monotone parts
Tim Gutjahr, Karsten Keller
In this paper, we show that, under some technical assumptions, the Kolmogorov-Sinai entropy and the permutation entropy are equal for one-dimensional maps if there exists a countab…
Entropy determination based on the ordinal structure of a dynamical system
Karsten Keller, Sergiy Maksymenko, Inga Stolz
The ordinal approach to evaluate time series due to innovative works of Bandt and Pompe has increasingly established itself among other techniques of nonlinear time series analysis…
Kolmogorov-Sinai entropy via separation properties of order-generated sigma-algebras
Alexandra Antoniouk, Karsten Keller, Sergiy Maksymenko
In a recent paper, K.Keller has given a characterization of the Kolmogorov-Sinai entropy of a discrete-time measure-preserving dynamical system on the base of an increasing sequenc…
Correspondence and translation principles for the Mandelbrot set
Karsten Keller
New insights into the combinatorial structure of the Mandelbrot set are given by `Correspondence' and `Translation' Principles both conjectured and partially proved by E. Lau and D…