Mathematics and morphogenesis of cities: A geometrical approach

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 83, Issue 3, 2011, Pages

  Courtat, Thomas ^a,b   Gloaguen, Catherine ^a   Douady, Stephane ^b  

^a ORANGE LABS   (France)

^b UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX NETWORKS; DYNAMICAL MODEL; LIVING ORGANISMS; OUT OF EQUILIBRIUM; RANDOM GRAPHS; SECOND ORDERS; STOCHASTIC GEOMETRY;

BIOLOGY; MORPHOLOGY; STATIC ANALYSIS; TOPOLOGY;

STOCHASTIC MODELS;

EID: 79953131796     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.036106     Document Type: Article

References (14)

1. F. Sembolonia, J. Assfalgb, S. Armenib, R. Gianassib, and F. Marsonic, Comput. Environ. Urban Syst. 0198-9715 10.1016/S0198-9715(02)00047-9 28, 45 (2004). (Pubitemid 37507150)
2. P. Frankhauser, Population 64, 205 (1998).
3. P. Blanchard and D. Volchenkov, Mathematical Analysis of Urban Spatial Networks (Springer, Berlin, 2009).
4. C. Gloaguen, F. Fleischer, H. Schmidt, and V. Schmidt, Telecommun. Syst. TESYEV 1018-4864 10.1007/s11235-006-6723-3 31, 4 (2006). (Pubitemid 43843986)
5. Y. I. H. Parish and P. Müller, Proc. ACM SIGGRAPH (2001), p. 301.
6. G. Chen, G. Esch, P. Wonka, P. Mü, and E. Zhang, ACM SIGGRAPH Proc. Vol. 29 (2008), p. 103.
7. S. Porta, P. Crucitti, and V. Latora, Environ. Plann. B TESYEV 0265-8135 10.1068/b32045 33, 705 (2006). (Pubitemid 44550297)
8. J. Buhl, J. Gautrais, N. Reeves, R. Solé, S. Valverde, P. Kuntz, and G. Theraulaz, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00085-1 49, 513 (2006).
9. S. Boccalettia, V. Latorab, Y. Morenod, M. Chavezf, and D.-U. Hwanga, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.10.009 424, 175 (2006). (Pubitemid 43135890)
10. J. L. Gross and J. Yellen, Handbook of Graph Theory (CRC, Boca Raton, FL, 2003).
11. P. Crucitti, V. Latora, and S. Porta, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.036125 73, 036125 (2006).
12. B. Jiang and C. Claramunt, Environ. Plann. B PRPLCM 0265-8135 10.1068/b306 31, 151 (2004). (Pubitemid 38225622)
13. A. Cardillo, S. Scellato, V. Latora, and S. Porta, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.066107 73, 066107 (2006). (Pubitemid 43855990)
14. M. Barthélemy and A. Flammini, Netw. Spatial Econ. PRPLCM 1566-113X 10.1007/s11067-008-9068-5 9, 401 (2009).