Geometry and dynamics for hierarchical regular networks

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 33, 2008, Pages

  Boettcher, Stefan ^a   Goncalves, Bruno ^a   Azaret, Julian ^a  

^a EMORY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 49749152382     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/33/335003     Document Type: Article

References (22)

1. Erdös P and Rényi A 1973 The Art of Counting (Cambridge, MA: MIT Press)
2. Bollobas B 1985 Random Graphs (London: Academic)
3. Berker A N and Ostlund S 1979 J. Phys. C: Solid State Phys. 12 4961
4. Migdal A A 1976 J. Exp. Theor. Phys. 42 743
5. Kadanoff L P 1976 Ann. Phys. 100 359
6. Mandelbrot B B 1982 The Fractal Geometry of Nature (San Francisco: Freeman)
7. Barabasi A-L, Ravasz E and Vicsek T 2001 Physica A 299 559
8. Andrade J S, Herrmann H-J, Andrade R F S and da Silva L R 2005 Phys. Rev. Lett. 94 018702
9. Zhang Z, Zhou S, Fang L, Guan J and Zhang Y 2007 Europhys. Lett. 79 38007
10. Southern B W and Young A P 1977 J. Phys. C: Solid State Phys. 10 2179
11. Boettcher S, Gonçalves B and Guclu H 2007 J. Phys. A: Math. Theor. 41 252001
12. Boettcher S and Gonçalves B 2008 Preprint 0802.2757
13. Watts D J and Strogatz S H 1998 Nature 393 440
14. Redner S 2001 A Guide to First-Passage Processes (Cambridge: Cambridge University Press)
15. Bender C M and Orszag S A 1978 Advanced Mathematical Methods for Scientists and Engineers (New York: McGraw-Hill)
16. Livio M 2003 The Golden Ratio: The Story of PHI, the World's Most Astonishing Number (New York: Broadway Books)
17. Metzler R and Klafter J 2004 J. Phys. A: Math. Gen. 37 R161
18. Hughes B D, Shlesinger M F and Montroll E W 1981 Proc. Natl. Acad. Sci. 78 3287
19. Shlesinger M F, Zaslavsky G M and Klafter J 1993 Nature 363 31
20. Bollt E M and Avraham D ben 2005 New J. Phys. 7 26
21. Condamin S, Benichou O, Tejedor V, Voituriez R and Klafter J 2007 Nature 450 77
22. Hinczewski M and Berker A 2006 Phys. Rev. E 73 066126