M
Michael Drmota
Researcher at Vienna University of Technology
Publications - 217
Citations - 4101
Michael Drmota is an academic researcher from Vienna University of Technology. The author has contributed to research in topics: Central limit theorem & Random binary tree. The author has an hindex of 29, co-authored 211 publications receiving 3862 citations. Previous affiliations of Michael Drmota include University of Vienna & University of Reading.
Papers
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Journal ArticleDOI
On a Conjecture of Cusick Concerning the Sum of Digits of $n$ and $n+t$
TL;DR: The proof of the main result is based on Chebyshev's inequality and the asymptotic analysis of a trivariate rational function, using methods from analytic combinatorics.
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Newman's phenomenon for generalized Thue-Morse sequences
Michael Drmota,Th. Stoll +1 more
TL;DR: The case a=2 inherits many Newman-like phenomena for every even g>=2 and large classes of arithmetic progressions of indices, which extends results by Drmota and Skalba to the general g-case.
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The Sum-of-Digits-Function and Uniform Distribution Modulo 1
Michael Drmota,Gerhard Larcher +1 more
TL;DR: In this paper, the authors provided detailed estimates for the discrepancy of the uniform distribution and the discrepancy for the sequences of fixed irrational numbers, where α, α 1, α 1, α 2, α d, α d denotes the q -ary sum-of-digits-function.
Journal ArticleDOI
Sign-changes of the Thue-Morse fractal function and Dirichlet L-series
Michael Drmota,Mariusz Skałba +1 more
Posted Content
Degree distribution in random planar graphs
TL;DR: In this paper, it was shown that the probability that a root vertex in a random planar graph has degree 1 tends to a computable constant, and that the expected number of vertices of degree n is asymptotically $d_k n.