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arXiv · 2312.05007

Invariant idempotent $\ast$-measures

Nataliya Mazurenko·Khrystyna Sukhorukova·Mykhailo Zarichnyi
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Abstract

The notion of $\ast$-idempotent measure is a modification of the notion of idempotent measure defined for every triangular norm $\ast$. We prove existence and uniqueness of invariant $\ast$-idempotent measures for iterated function systems on compact metric spaces.

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Nataliya Mazurenko, Khrystyna Sukhorukova, Mykhailo Zarichnyi. 2023-12-08. Invariant idempotent $\ast$-measures. https://arxiv.org/abs/2312.05007

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