41 citations · 121 across the 26 of their papers we have counts for
5 papers · 1 filter
Effective Erdős-Wintner theorems for digital expansions
Michael Drmota, Johann Verwee
In 1972 Delange observed in analogy of the classical Erd\H os-Wintner theorem that -additive functions has a distribution function if and only if the two series $\sum f(d…
(Logarithmic) densities for automatic sequences along primes and squares
Boris Adamczewski, Michael Drmota, Clemens Müllner
In this paper we develop a method to transfer density results for primitive automatic sequences to logarithmic-density results for general automatic sequences. As an application we…
Sequential Universal Modeling for Non-Binary Sequences with Constrained Distributions
Michael Drmota, Gil Shamir, Wojciech Szpankowski
Sequential probability assignment and universal compression go hand in hand. We propose sequential probability assignment for non-binary (and large alphabet) sequences with empiric…
Universal singular exponents in catalytic variable equations
Michael Drmota, Marc Noy, Guan-Ru Yu
Catalytic equations appear in several combinatorial applications, most notably in the numeration of lattice path and in the enumeration of planar maps. The main purpose of this pap…
Möbius orthogonality of sequences with maximal entropy
Michael Drmota, Christian Mauduit, Joël Rivat +1
We prove that strongly -multiplicative functions of modulus along squares are asymptotically orthogonal to the Möbius function. This provides examples of sequences having ma…