Julian Kern

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20232025

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math.CO2025

Computer-aided solution to the $k$ -bonacci pick-up sticks problem

Julian Kern

A full solution to the recently proposed problem of determining the probability that no $k$ -gon can be built from $n$ independently and uniformly chosen sticks in $[0, 1]$ is propos…

math.PR2025

Multi-type logistic branching processes with selection: frequency process and genealogy for large carrying capacities

Marta Dai Pra, Julian Kern

We present a model for growth in a multi-species population. We consider two types evolving as a logistic branching process with mutation, where one of the types has a selective ad…

Computer-aided solution to the k-bonacci pick-up sticks problem

Multi-type logistic branching processes with selection: frequency process and genealogy for large carrying capacities

Computer-aided solution to the $k$ -bonacci pick-up sticks problem