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arXiv · 2602.01470

What non-additive integral for ensemble spaces?

Gabriele Carcassi·Christine A. Aidala·Tobias Thrien
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Abstract

In a previous work we were able to define a non-additive measure that can be used to represent both classical and quantum states in physics. We further extended this idea to work on a generic space of statistical ensembles (i.e. an ensemble space) in a way that connects to Choquet theory. The question of which non-additive integral is suitable to generalize the notion of expectation value remains open. In this paper we show that the Sugeno and Choquet integrals are not suitable.

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Gabriele Carcassi, Christine A. Aidala, Tobias Thrien. 2026-02-01. What non-additive integral for ensemble spaces?. https://arxiv.org/abs/2602.01470

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