66 citations · 329 across the 36 of their papers we have counts for
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math.DS2002
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…
math.DS2002★ 1 cited
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…
math.DS2002★ 40 cited
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…