41 citations · 121 across the 26 of their papers we have counts for
4 papers · 1 filter
Randomness and non-randomness properties of Piatetski-Shapiro sequences modulo m
Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner +1
We study Piatetski-Shapiro sequences modulo m, for non-integer and positive , and we are particularly interested in subword occurrences in those…
Limit Laws of Planar Maps with Prescribed Vertex Degrees
Gwendal Collet, Michael Drmota, Lukas Daniel Klausner
We prove a general multi-dimensional central limit theorem for the expected number of vertices of a given degree in the family of planar maps whose vertex degrees are restricted to…
A Joint Central Limit Theorem for the Sum-of-Digits Function, and Asymptotic Divisibility of Catalan-like Sequences
Michael Drmota, Christian Krattenthaler
We prove a central limit theorem for the joint distribution of , , where denotes the sum-of-digits function in base~ and the 's are positive…
Pattern occurrences in random planar maps
Michael Drmota, Benedikt Stufler
We consider planar maps adjusted with a (regular critical) Boltzmann distribution and show that the expected number of pattern occurrences of a given map is asymptotically linear w…