66 citations · 329 across the 36 of their papers we have counts for
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Spectra of Bernoulli convolutions as multipliers in on the circle
Nikita Sidorov, Boris Solomyak
It is shown that the closure of the set of Fourier coefficients of the Bernoulli convolution parameterized by a Pisot number , is countable. Combined with results of Salem…
Universal -expansions
Nikita Sidorov
Given , a -expansion of a real is a power series in base with coefficients 0 and 1 whose sum equals . The aim of this note is to study certain problems rel…
Ergodic-theoretic properties of certain Bernoulli convolutions
Nikita Sidorov
In [17] the author and A. Vershik have shown that for $\be=\frac12(1+\sqrt5)$ and the alphabet the infinite Bernoulli convolution ( the Erdös measure) has a property s…
Arithmetic Dynamics
Nikita Sidorov
This survey paper is aimed to describe a relatively new branch of symbolic dynamics which we call Arithmetic Dynamics. It deals with explicit arithmetic expansions of reals and vec…