In this paper we reveal that the conjugate property of Bernstein functions connects the tempered subdiffusion with the confinement. The interpretation of anomalous diffusion tending to the confinement is that diffusive motion, accompanied by multiple-trapping events with infinite mean sojourn time, is transformed into pure jumps, restricted in confined environment. This model, just like the tempered one, is generally valid in a wide class of problems of transport in random media that include live cells, relaxation in heterogeneous substances, and jump-diffusion. A relation of our approach to the popular diffusive diffusivity is explained.

中文翻译：

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利用Laplace和Linnik统计信息进行受限的随机运动

在本文中，我们揭示了伯恩斯坦函数的共轭性质将回火扩散与约束联系在一起。对异常扩散趋向于局限的解释是，扩散运动，伴随着具有无限平均停留时间的多次诱捕事件，被转化为纯跳跃，被限制在有限的环境中。与回火模型一样，该模型通常适用于随机介质中的各种运输问题，包括活细胞，异质物质弛豫和跳跃扩散。解释了我们的方法与流行的扩散扩散率之间的关系。