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When and Where is a City Fractal?

Citations

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Cited by:

  1. Isabelle Thomas & Pierre Frankhauser & Dominique Badariotti, 2012. "Comparing the fractality of European urban neighbourhoods: do national contexts matter?," Journal of Geographical Systems, Springer, vol. 14(2), pages 189-208, April.
  2. Yuqing Long & Yanguang Chen & Yajing Li, 2023. "Multifractal scaling analyses of the spatial diffusion pattern of COVID-19 pandemic in Chinese mainland," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-13, December.
  3. Chen, Yanguang & Wang, Jiejing, 2014. "Recursive subdivision of urban space and Zipf’s law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 392-404.
  4. Shiguang Wang & Dexin Yu & Mei-Po Kwan & Huxing Zhou & Yongxing Li & Hongzhi Miao, 2019. "The Evolution and Growth Patterns of the Road Network in a Medium-Sized Developing City: A Historical Investigation of Changchun, China, from 1912 to 2017," Sustainability, MDPI, vol. 11(19), pages 1-25, September.
  5. Saeedimoghaddam, Mahmoud & Stepinski, T.F. & Dmowska, Anna, 2020. "Rényi’s spectra of urban form for different modalities of input data," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
  6. Chen, Yanguang, 2013. "Fractal analytical approach of urban form based on spatial correlation function," Chaos, Solitons & Fractals, Elsevier, vol. 49(C), pages 47-60.
  7. Chen, Yanguang & Lin, Jingyi, 2009. "Modeling the self-affine structure and optimization conditions of city systems using the idea from fractals," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 615-629.
  8. Czamanski, Daniel & Broitman, Dani, 2017. "Information and communication technology and the spatial evolution of mature cities," Socio-Economic Planning Sciences, Elsevier, vol. 58(C), pages 30-38.
  9. Zhijun SONG & Linjun YU, 2019. "Multifractal features of spatial variation in construction land in Beijing (1985–2015)," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-15, December.
  10. Inho Hong & Woo-Sung Jung & Hang-Hyun Jo, 2019. "Gravity model explained by the radiation model on a population landscape," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-13, June.
  11. Dani Broitman & Daniel Czamanski, 2015. "Bursts and Avalanches: The Dynamics of Polycentric Urban Evolution," Environment and Planning B, , vol. 42(1), pages 58-75, February.
  12. Chen, Yanguang, 2013. "A set of formulae on fractal dimension relations and its application to urban form," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 150-158.
  13. Chen, Yanguang & Wang, Yihan & Li, Xijing, 2019. "Fractal dimensions derived from spatial allometric scaling of urban form," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 122-134.
  14. repec:osf:socarx:c7p43_v1 is not listed on IDEAS
  15. Chen, Yanguang, 2011. "Fractal systems of central places based on intermittency of space-filling," Chaos, Solitons & Fractals, Elsevier, vol. 44(8), pages 619-632.
  16. Idan Porat & Amnon Frenkel & Maxim Shoshany, 2008. "Residential and Nonresidential Construction Initiations in Tel Aviv-Yafo: Autocorrelation Analysis of Urban Structure Evolution," Environment and Planning B, , vol. 35(3), pages 535-551, June.
  17. Luca Salvati, 2022. "Exploring long-term urban cycles with multivariate time-series analysis," Environment and Planning B, , vol. 49(4), pages 1212-1227, May.
  18. François Sémécurbe & Cécile Tannier & Stéphane G. Roux, 2019. "Applying two fractal methods to characterise the local and global deviations from scale invariance of built patterns throughout mainland France," Journal of Geographical Systems, Springer, vol. 21(2), pages 271-293, June.
  19. Yanguang Chen & Jiejing Wang, 2013. "Multifractal Characterization of Urban Form and Growth: The Case of Beijing," Environment and Planning B, , vol. 40(5), pages 884-904, October.
  20. Xia, Linlin & Zhang, Yan & Sun, Xiaoxi & Li, Jinjian, 2017. "Analyzing the spatial pattern of carbon metabolism and its response to change of urban form," Ecological Modelling, Elsevier, vol. 355(C), pages 105-115.
  21. Chen, Yanguang & Zhou, Yixing, 2008. "Scaling laws and indications of self-organized criticality in urban systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 85-98.
  22. Huan Lu & Ruiyang Wang & Rong Ye & Jinzhao Fan, 2023. "Monitoring Long-Term Spatiotemporal Dynamics of Urban Expansion Using Multisource Remote Sensing Images and Historical Maps: A Case Study of Hangzhou, China," Land, MDPI, vol. 12(1), pages 1-23, January.
  23. Cécile Tannier & Gilles Vuidel & Hélène Houot & Pierre Frankhauser, 2012. "Spatial Accessibility to Amenities in Fractal and Nonfractal Urban Patterns," Environment and Planning B, , vol. 39(5), pages 801-819, October.
  24. Fei Liu & Qing Huang, 2019. "An Approach to Determining the Spatially Contiguous Zone of a Self-Organized Urban Agglomeration," Sustainability, MDPI, vol. 11(12), pages 1-16, June.
  25. Bo Liu & Desheng Xue & Yiming Tan, 2019. "Deciphering the Manufacturing Production Space in Global City-Regions of Developing Countries—a Case of Pearl River Delta, China," Sustainability, MDPI, vol. 11(23), pages 1-26, December.
  26. Lucien Benguigui & Daniel Czamanski & Maria Marinov, 2001. "The Dynamics of Urban Morphology: The Case of Petah Tikvah," Environment and Planning B, , vol. 28(3), pages 447-460, June.
  27. Chen, Yanguang, 2014. "Multifractals of central place systems: Models, dimension spectrums, and empirical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 266-282.
  28. Chen, Yanguang, 2012. "Fractal dimension evolution and spatial replacement dynamics of urban growth," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 115-124.
  29. Daniel Czamanski & Rafael Roth, 2011. "Characteristic time, developers’ behavior and leapfrogging dynamics of high-rise buildings," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 46(1), pages 101-118, February.
  30. Deppman, A. & Fagundes, R.L. & Megías, E. & Pasechnik, R. & Ribeiro, F.L. & Tsallis, C., 2025. "Nonlinear dynamics approach to urban scaling," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
  31. Lishan Xiao & Peiqi Shi & Tong Lin & Ning Chen & Sha Huang, 2021. "Rural Morphology and Forces Driving Change in Rapidly Urbanizing Areas: A Case Study in Fujian, China," IJERPH, MDPI, vol. 18(9), pages 1-15, April.
  32. Jian Feng & Yanguang Chen, 2021. "Modeling Urban Growth and Socio-Spatial Dynamics of Hangzhou, China: 1964–2010," Sustainability, MDPI, vol. 13(2), pages 1-25, January.
  33. Chen, Yanguang & Huang, Linshan, 2019. "Modeling growth curve of fractal dimension of urban form of Beijing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1038-1056.
  34. Myagmartseren Purevtseren & Bazarkhand Tsegmid & Myagmarjav Indra & Munkhnaran Sugar, 2018. "The Fractal Geometry of Urban Land Use: The Case of Ulaanbaatar City, Mongolia," Land, MDPI, vol. 7(2), pages 1-14, May.
  35. Lucien Benguigui & Daniel Czamanski & Rafael Roth, 2008. "Modeling Cities in 3D: A Cellular Automaton Approach," Environment and Planning B, , vol. 35(3), pages 413-430, June.
  36. Boeing, Geoff, 2017. "Methods and Measures for Analyzing Complex Street Networks and Urban Form," SocArXiv 93h82, Center for Open Science.
  37. Chen, Yanguang, 2009. "Analogies between urban hierarchies and river networks: Fractals, symmetry, and self-organized criticality," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1766-1778.
  38. Dani Broitman & Vladimir Griskin & Daniel Czamanski, 2019. "Unbundling negative and positive externalities of nature in cities: The influence of wild animals on housing prices," Urban Studies, Urban Studies Journal Limited, vol. 56(13), pages 2820-2836, October.
  39. Lei Gong & Jianzhu Yang & Chong Wu & Hui Zhou, 2023. "Fractal Characteristics of the Spatial Texture in Traditional Miao Villages in Qiandongnan, Guizhou, China," Sustainability, MDPI, vol. 15(17), pages 1-23, September.
  40. Song, Zhijun & Jin, Wenxuan & Jiang, Guanghui & Li, Sichun & Ma, Wenqiu, 2021. "Typical and atypical multifractal systems of urban spaces—using construction land in Zhengzhou from 1988 to 2015 as an example," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
  41. Bo Liu & Desheng Xue & Sijun Zheng, 2023. "Evolution and Influencing Factors of Manufacturing Production Space in the Pearl River Delta—Based on the Perspective of Global City-Region," Land, MDPI, vol. 12(2), pages 1-22, February.
  42. Boeing, Geoff, 2017. "Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction," SocArXiv c7p43, Center for Open Science.
  43. repec:plo:pone00:0197144 is not listed on IDEAS
  44. Jian Feng & Yanguang Chen, 2010. "Spatiotemporal Evolution of Urban Form and Land-Use Structure in Hangzhou, China: Evidence from Fractals," Environment and Planning B, , vol. 37(5), pages 838-856, October.
  45. Yanguang Chen & Yixing Zhou, 2006. "Reinterpreting Central Place Networks Using Ideas from Fractals and Self-Organized Criticality," Environment and Planning B, , vol. 33(3), pages 345-364, June.
  46. Chen, Yanguang, 2022. "Normalizing and classifying shape indexes of cities by ideas from fractals," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
  47. Lucien Benguigui & Efrat Blumenfeld-Lieberthal & Daniel Czamanski, 2006. "The Dynamics of the Tel Aviv Morphology," Environment and Planning B, , vol. 33(2), pages 269-284, April.
  48. Chong Zhao & Yu Li & Min Weng, 2021. "A Fractal Approach to Urban Boundary Delineation Based on Raster Land Use Maps: A Case of Shanghai, China," Land, MDPI, vol. 10(9), pages 1-21, September.
  49. Chen, Yanguang & Jiang, Shiguo, 2009. "An analytical process of the spatio-temporal evolution of urban systems based on allometric and fractal ideas," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 49-64.
  50. Yanguang Chen & Yixing Zhou, 2003. "The Rank-Size Rule and Fractal Hierarchies of Cities: Mathematical Models and Empirical Analyses," Environment and Planning B, , vol. 30(6), pages 799-818, December.
  51. Dani Broitman & Daniel Czamanski, 2012. "Cities in Competition, Characteristic Time, and Leapfrogging Developers," Environment and Planning B, , vol. 39(6), pages 1105-1118, December.
  52. Marina Toger & Dan Malkinson & Itzhak Benenson & Daniel Czamanski, 2016. "The connectivity of Haifa urban open space network," Environment and Planning B, , vol. 43(5), pages 848-870, September.
  53. Erez Buda & Dani Broitman & Daniel Czamanski, 2023. "Land value dynamics and the spatial evolution of cities following COVID 19 using big data analytics," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 70(2), pages 429-445, April.
  54. Qindong Fan & Fengtian Du & Hu Li, 2020. "A Study of the Spatial Form of Maling Village, Henan, China," Sustainability, MDPI, vol. 12(18), pages 1-24, September.
  55. Chen, Yanguang & Huang, Linshan, 2018. "A scaling approach to evaluating the distance exponent of the urban gravity model," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 303-313.
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