N. Sidorov

activity

19982002

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4 papers · 1 filter

math.FA2002

Spectra of Bernoulli convolutions as multipliers in $L^{p}$ on the circle

Nikita Sidorov, Boris Solomyak

It is shown that the closure of the set of Fourier coefficients of the Bernoulli convolution $μ_{θ}$ parameterized by a Pisot number $θ$ , is countable. Combined with results of Salem…

math.DS2002

Universal $β$ -expansions

Nikita Sidorov

Given $β \in (1, 2)$ , a $β$ -expansion of a real $x$ is a power series in base $β$ with coefficients 0 and 1 whose sum equals $x$ . The aim of this note is to study certain problems rel…

math.DS2002

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 ${0, 1}$ the infinite Bernoulli convolution ( $=$ the Erdös measure) has a property s…

math.DS2002

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…

Spectra of Bernoulli convolutions as multipliers in Lp on the circle

Universal β-expansions

Ergodic-theoretic properties of certain Bernoulli convolutions

Arithmetic Dynamics

Spectra of Bernoulli convolutions as multipliers in $L^{p}$ on the circle

Universal $β$ -expansions