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arXiv 1902.07663physics.soc-phcond-mat.stat-mechnlin.AO
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城市街道网络中的结构熵、自组织和幂律:亚历山大思想的证据

Structure Entropy, Self-Organization, and Power Laws in Urban Street Networks: Evidence for Alexander's Ideas

Jerome Benoit, Saif Eddin Jabari

摘要:

简单直观的导航性在城市中至关重要。城市街道网络在其拓扑空间中的实际无标度网络,导航信息是通过将道路映射到节点和将交叉点映射到节点之间的链接来编码的,仍然没有简单的解释。强调路口层次结构的整体性和系统性的方式,使我们设想城市街道网络不断发展的社会系统受到玻尔兹曼介观熵守恒。这种守恒,我们可以解释为无标度的守恒,确保了从道路交叉点的层次结构到无标度的一致性的过渡。也就是说,我们恢复了自组织城市中自然道路的实际无标度概率分布。我们通过调用Jaynes的最大熵原理(统计物理学)获得这段话,同时我们利用现代量化思想(信息物理学)和结构化(格理论)的众所周知的结果来测量信息网络熵。新兴的范式,适用于具有更复杂的等级制度的系统,如实际的城市,似乎很好地反映了城市学家克里斯托弗·亚历山大对城市的影响。

英文摘要:

Easy and intuitive navigability is of central importance in cities. The actual scale-free networking of urban street networks in their topological space, where navigation information is encoded by mapping roads to nodes and junctions to links between nodes, has still no simple explanation. Emphasizing the road-junction hierarchy in a holistic and systematic way leads us to envisage urban street networks as evolving social systems subject to a Boltzmann-mesoscopic entropy conservation. This conservation, which we may interpret in terms of surprisal, ensures the passage from the road-junction hierarchy to a scale-free coherence. To wit, we recover the actual scale-free probability distribution for natural roads in self-organized cities. We obtain this passage by invoking Jaynes's Maximum Entropy principle (statistical physics), while we capitalize on modern ideas of quantification (information physics) and well known results on structuration (lattice theory) to measure the information network entropy. The emerging paradigm, which applies to systems with more intricate hierarchies as actual cities, appears to reflect well the influential ideas on cities of the urbanist Christopher Alexander.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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