%0 Generic %1 murcio2015multifractal %A Murcio, Roberto %A Masucci, A. Paolo %A Arcaute, Elsa %A Batty, Michael %D 2015 %K city fractal network street %T Multifractal to monofractal evolution of the London's street network %U http://arxiv.org/abs/1505.02760 %X We perform a multifractal analysis of the evolution of London's street network from 1786 to 2010. First, we show that a single fractal dimension, commonly associated with the morphological description of cities, does not su ce to capture the dynamics of the system. Instead, for a proper characterization of such a dynamics, the multifractal spectrum needs to be considered. Our analysis reveals that London evolves from an inhomogeneous fractal structure, that can be described in terms of a multifractal, to a homogeneous one, that converges to monofractality. We argue that London's multifractal to monofracal evolution might be a special outcome of the constraint imposed on its growth by a green belt. Through a series of simulations, we show that multifractal objects, constructed through di usion limited aggregation, evolve towards monofractality if their growth is constrained by a non-permeable boundary.

@misc{murcio2015multifractal, abstract = {We perform a multifractal analysis of the evolution of London's street network from 1786 to 2010. First, we show that a single fractal dimension, commonly associated with the morphological description of cities, does not su ce to capture the dynamics of the system. Instead, for a proper characterization of such a dynamics, the multifractal spectrum needs to be considered. Our analysis reveals that London evolves from an inhomogeneous fractal structure, that can be described in terms of a multifractal, to a homogeneous one, that converges to monofractality. We argue that London's multifractal to monofracal evolution might be a special outcome of the constraint imposed on its growth by a green belt. Through a series of simulations, we show that multifractal objects, constructed through di usion limited aggregation, evolve towards monofractality if their growth is constrained by a non-permeable boundary.}, added-at = {2015-05-13T09:41:24.000+0200}, author = {Murcio, Roberto and Masucci, A. Paolo and Arcaute, Elsa and Batty, Michael}, biburl = {https://www.bibsonomy.org/bibtex/245c3abd312b78ee7faac4059b58e01e6/marcogherardi}, description = {Multifractal to monofractal evolution of the London's street network}, interhash = {cdf376eb6ab0a57e021b541997dcd8b0}, intrahash = {45c3abd312b78ee7faac4059b58e01e6}, keywords = {city fractal network street}, note = {cite arxiv:1505.02760Comment: 13 pages, 6 figures}, timestamp = {2015-05-13T09:41:24.000+0200}, title = {Multifractal to monofractal evolution of the London's street network}, url = {http://arxiv.org/abs/1505.02760}, year = 2015 }