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New Probability Distribution Describing Emergence in State Space by Pazuki, Roozbeh H.; Jensen, Henrik Jeldtoft is a scholarly article available to read on EtoBox.

What is New Probability Distribution Describing Emergence in State Space about?

We revisit the pairing model of state spaces with new emergent states introduced in J. Phys. A: Math. Theor. 51 375002, 2018. We facilitate our analysis by introducing a simplified pairing model consisting of balls able to form pairs but without any internal structure. For both the simplified and the original model we compute exactly the probability distribution for observing a state with $n_p$ pairs. We show this distribution satisfies a large deviation principle with speed $n \ln(n)$. We present closed form expressions for a variety of statistical quantities including moments and marginal distributions.

Author

Pazuki, Roozbeh H.; Jensen, Henrik Jeldtoft

Published

2021

Language

EN