摘要 Many 隨機 複雜系統s are characterized by the fact that

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論文資訊

• 類型：已發表論文
• 日期：2020

摘要

Many 隨機 複雜系統s are characterized by the fact that their configuration space doesn't grow exponentially as a function of the degrees of freedom. The use of 縮放律 expansions is a natural way to measure the asymptotic growth of the configuration space volume in terms of the 縮放律 exponents of the system. These 縮放律 exponents can, in turn, be used to define universality classes that uniquely determine the statistics of a system. Every system belongs to one of these classes. Here we derive the 資訊 geometry of 縮放律 expansions of sample spaces. In particular, we present the deformed logarithms and the metric in a systematic and coherent way. We observe a 相變 for the curvature. The 相變 can be well measured by the characteristic length r, corresponding to a ball with radius 2r having the same curvature as th

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