Zeros of {-1,0,1}-power series and connectedness loci for self-affine setsReportar como inadecuado



 Zeros of {-1,0,1}-power series and connectedness loci for self-affine sets


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We consider the set W of double zeros in 0,1 for power series with coefficients in {-1,0,1}. We prove that W is disconnected, and estimate the minimum of W with high accuracy. We also show that 2^-1-2-e,1 is contained in W for some small, but explicit e0 this was only known for e=0. These results have applications in the study of infinite Bernoulli convolutions and connectedness properties of self-affine fractals.



Autor: P. Shmerkin; B. Solomyak

Fuente: https://archive.org/







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