• Corpus ID: 85510523

# On the time to absorption in $\Lambda$-coalescents

@article{Kersting2017OnTT,
title={On the time to absorption in \$\Lambda\$-coalescents},
author={G{\"o}tz Kersting and A. Wakolbinger},
journal={arXiv: Probability},
year={2017}
}
• Published 20 December 2017
• Mathematics
• arXiv: Probability
We present a law of large numbers and a central limit theorem for the time to absorption of $\Lambda$-coalescents, started from $n$ blocks, as $n \to \infty$. The proofs rely on an approximation of the logarithm of the block-counting process of $\Lambda$-coalescents with a dust component by means of a drifted subordinator.

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