We develop an |$\infty $|-categorical version of the classical theory of polynomial and analytic functors, initial algebras, and free monads. Using this machinery, we provide a new model for |$\infty $|-operads, namely |$\infty $|-operads as analytic monads. We justify this definition by proving that the |$\infty $|-category of analytic monads is equivalent to that of dendroidal Segal spaces, known to be equivalent to the other existing models for |$\infty $|-operads.

中文翻译：

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∞-Operads作为解析单子

我们开发了| $ \ infty $ | -多项式和解析函子，初始代数和自由单子的经典理论的分类版本。使用此机器，我们为| $ \ infty $ |提供了一个新模型。-operads，即| $ \ infty $ | -operads作为解析单子。我们通过证明| $ \ infty $ |来证明此定义的合理性。解析元的-类别等同于树状Segal空间的类别，已知与| $ \ infty $ |的其他现有模型等效。-歌剧。