We revisit the pairing model of state spaces with new emergent states introduced in (J. Phys. A: Math. Theor. 51 375 002, 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 . We present closed form expressions for a variety of statistical quantities including moments and marginal distributions.

中文翻译：

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描述状态空间中出现的新概率分布

我们重新审视了状态空间与新的涌现状态的配对模型 ( J. Phys. A: Math. Theor. 51 375 002, 2018)。我们通过引入一个简化的配对模型来促进我们的分析，该模型由能够形成配对但没有任何内部结构的球组成。对于简化模型和原始模型，我们精确计算了观察具有n _p对的状态的概率分布。我们表明这种分布满足速度的大偏差原则。我们提出了各种统计量的封闭形式表达式，包括矩和边际分布。