We discuss a stochastic interacting particles’ system connected to dyadic models of turbulence, defining suitable classes of solutions and proving their existence and uniqueness. We investigate the regularity of a particular family of solutions, called moderate, and we conclude with existence and uniqueness of invariant measures associated with such moderate solutions.

中文翻译：

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线性随机二元模型

我们讨论了与湍流二元模型连接的随机相互作用粒子的系统，定义了合适的解决方案类别，并证明了它们的存在性和唯一性。我们调查称为中度的特定解系列的规律性，并得出与这种中度解相关的不变度量的存在性和唯一性作为结论。