B. Solomyak

collaborators

2 papers

math.DS2005

Absolute continuity for random iterated function systems with overlaps

Yuval Peres, Károly Simon, Boris Solomyak

We consider linear iterated function systems with a random multiplicative error on the real line. Our system is ${x \mapsto d_{i} + λ_{i} Y x}_{i = 1}^{m}$ , where $d_{i} \in R$ and $λ_{i} > 0$ …

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…

Absolute continuity for random iterated function systems with overlaps

Spectra of Bernoulli convolutions as multipliers in Lp on the circle

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