Author： Bezhaeva Z.
Publisher： Springer Publishing Company
ISSN： 0016-2663
Source： Functional Analysis and Its Applications, Vol.44, Iss.2, 2010-06, pp. : 83-91
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
Properties of the Erdős measure and the invariant Erdős measure for the golden ratio and all values of the Bernoulli parameter are studied. It is proved that a shift on the two-sided Fibonacci compact set with invariant Erdős measure is isomorphic to the integral automorphism for a Bernoulli shift with countable alphabet. An effective algorithm for calculating the entropy of an invariant Erdős measure is proposed. It is shown that, for certain values of the Bernoulli parameter, this algorithm gives the Hausdorff dimension of an Erdős measure to 15 decimal places.
Related content
An Erdős-Szekeres Type Problem in the Plane
Periodica Mathematica Hungarica, Vol. 39, Iss. 1-3, 2000-01 ,pp. :
Access to resources
Recommend
On An Extremal Hypergraph Problem Of Brown, Erdős And Sós
Combinatorica, Vol. 26, Iss. 6, 2006-12 ,pp. :
Quartic Polynomials and the Golden Ratio
Mathematics Magazine, Vol. 82, Iss. 3, 2009-06 ,pp. :
By Yu Kunrui
Acta Mathematica, Vol. 211, Iss. 2, 2013-12 ,pp. :