Inflation word entropy for semi-compatible random substitutions

Gohlke P (2020)
MONATSHEFTE FUR MATHEMATIK: 93-110.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
Download
Es wurde kein Volltext hochgeladen. Nur Publikationsnachweis!
Abstract / Bemerkung
We introduce the concept of inflation word entropy for random substitutions with a constant and primitive substitution matrix. Previous calculations of the topological entropy of such systems implicitly used this concept and established equality of topological entropy and inflation word entropy, relying on ad hoc methods. We present a unified scheme, proving that inflation word entropy and topological entropy in fact coincide. The topological entropy is approximated by a converging series of upper and lower bounds which, in many cases, lead to an analytic expression.
Stichworte
Random substitutions; Topological entropy; Periodic points
Erscheinungsjahr
2020
Zeitschriftentitel
MONATSHEFTE FUR MATHEMATIK
Seite(n)
93-110
ISSN
0026-9255
eISSN
1436-5081
Page URI
https://pub.uni-bielefeld.de/record/2941887

Zitieren

Gohlke P. Inflation word entropy for semi-compatible random substitutions. MONATSHEFTE FUR MATHEMATIK. 2020:93-110.
Gohlke, P. (2020). Inflation word entropy for semi-compatible random substitutions. MONATSHEFTE FUR MATHEMATIK, 93-110. doi:10.1007/s00605-020-01380-0
Gohlke, P. (2020). Inflation word entropy for semi-compatible random substitutions. MONATSHEFTE FUR MATHEMATIK, 93-110.
Gohlke, P., 2020. Inflation word entropy for semi-compatible random substitutions. MONATSHEFTE FUR MATHEMATIK, , p 93-110.
P. Gohlke, “Inflation word entropy for semi-compatible random substitutions”, MONATSHEFTE FUR MATHEMATIK, 2020, pp. 93-110.
Gohlke, P.: Inflation word entropy for semi-compatible random substitutions. MONATSHEFTE FUR MATHEMATIK. 93-110 (2020).
Gohlke, Philipp. “Inflation word entropy for semi-compatible random substitutions”. MONATSHEFTE FUR MATHEMATIK (2020): 93-110.