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arXiv 1205.5902math.DS
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一致动力系统临界行程的组合刻画

A Combinatorial Characterization of the Critical Itineraries of a Uniform Dynamical System

Michael Barnsley, Wolfgang Steiner, Andrew Vince

摘要:

对于一个从单位区间到自身的具有常斜率且有一个间断点的函数,间断点的行程称为临界行程。这些关键路线发挥了重要作用的研究$β$ -扩展(与积极或消极的$β$)和分形变换。提供了一个组合特征的关键行程,这样的功能。

英文摘要:

For a function from the unit interval to itself with constant slope and one discontinuity, the itineraries of the point of discontinuity are called the critical itineraries. These critical itineraries play a significant role in the study of $β$-expansions (with positive or negative $β$) and fractal transformations. A combinatorial characterization of the critical itineraries of such functions is provided.

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