Mykola Moroz

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20242026

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math.CA2026

Hölder exponents and fractal structure of level sets of self-affine functions associated with the $Q_{s}$ -representation of numbers

Volodymyr Yelahin, Mykola Moroz

We investigate a class of locally complicated self-affine functions defined via the $Q_{s}$ -representation of real numbers. In particular, we compute local Hölder exponents at points…

math.CA2024

The convergence of sequences in terms of positive and alternating Perron expansions

Mykola Moroz

We consider conditions for the convergence of sequences in terms of positive and alternating Perron expansions ( $P$ -representation and $P^{-}$ -representation). These conditions are c…

Hölder exponents and fractal structure of level sets of self-affine functions associated with the Qs​-representation of numbers

The convergence of sequences in terms of positive and alternating Perron expansions

Hölder exponents and fractal structure of level sets of self-affine functions associated with the $Q_{s}$ -representation of numbers