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Regular version of the site

Working paper

Problem of Erdos – Vershik for Golden Ratio

Bezhaeva Z., Oseledets V. I.

Properties of Erdos measure and the invariant Erdos measure for the golden ratio and all values of the Bernoulli parameter are studies. It is proved that a shift on the two-sided Fibonacci compact set with invariant Erdos measure is isomorphic to the integral automorphism for a Bernoulli shift with countable alphabet.