3 papers
math.CO2025
Asymptotic Analysis of Regular Sequences
Clemens Heuberger, Daniel Krenn
In this article, -regular sequences in the sense of Allouche and Shallit are analysed asymptotically. It is shown that the summatory function of a regular sequence can asymptoti…
math.CO2024
The distribution of the maximum protection number in simply generated trees
Clemens Heuberger, Sarah J. Selkirk, Stephan Wagner
The protection number of a vertex in a tree is the length of the shortest path from to any leaf contained in the maximal subtree where is the root. In this paper, we de…
math.AC2024
Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index
Clemens Heuberger, Jutta Rath, Roswitha Rissner
The sequence of associated primes of powers of a monomial ideal in a polynomial ring eventually stabilizes by a known result…