Abstract In the original Bitcoin paper and other research papers since, it is assumed that Bitcoin blocks are mined at the instants of a homogeneous Poisson process. Based on blockchain block arrival data and stochastic analysis of the block arrival process, we demonstrate that this is not the case. We present a framework for studying the block arrival process, including two refined mathematical models for block arrivals, determined by combining models for a period of constant difficulty and how the difficulty evolves over time.

中文翻译：

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比特币区块链中区块到达时间的建模与分析

摘要 在最初的比特币论文和此后的其他研究论文中，假设比特币区块是在同构泊松过程的瞬间开采的。基于区块链区块到达数据和区块到达过程的随机分析，我们证明情况并非如此。我们提出了一个用于研究区块到达过程的框架，包括两个针对区块到达的精炼数学模型，这些模型是通过组合具有恒定难度时期的模型以及难度如何随时间演变而确定的。