Random walks on graphs: Ideas, techniques and results

Journal of Physics A: Mathematical and General

Volumn 38, Issue 8, 2005, Pages

  Burioni, R ^a   Cassi, D ^a  

^a INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 14544272824     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/8/R01     Document Type: Review

References (38)

1. Burioni R, Cassi D and Vezzani A 2004 Random walks and physical models on infinite graphs: an introduction Random Walks and Geometry ed V Kaimanovich, K Schmidt and W Woess (Berlin: de Gruyter)
2. Harary F 1994 Graph Theory (Reading, MA: Addison-Wesley)
3. Gantmacher F 1950 The Theory of Matrices (New York: Chelsea)
4. Mohar B and Woess W 1989 Bull. Lond. Math. Soc. 21 209
5. Gefen Y, Aharony A and Mandelbrot B B 1980 Phys. Rev. Lett. 45 855
6. Polya G 1921 Math. Ann. 84 149
7. Woess W 2000 Random Walks on Infinite Graphs and Groups (Cambridge: Cambridge University Press)
8. Alexander S and Orbach R 1982 J. Phys. Lett. 43 L62
9. Hattori K, Hattori T and Watanabe H 1987 Prog. Theor. Phys. Suppl. 92 108
10. Burioni R and Cassi D 1996 Phys. Rev. Lett. 76 1091
11. Cassi D 1996 Phys. Rev. Lett. 76 2941
12. Cassi D and Fabbian L 1999 J. Phys. A: Math. Gen. 32 L93
13. Burioni R, Cassi D and Vezzani A 2000 Eur. Phys. J. B 15 665
14. Burioni R and Cassi D 1995 Phys. Rev. E 51 2865
15. Burioni R, Cassi D and Vezzani A 1999 J. Phys. A: Math. Gen. 32 5539
16. Bertacchi D and Zucca F 2004 J. Stat. Phys. 947
17. Burioni R, Cassi D and Destri C 2000 Phys. Rev. Lett. 85 1496
18. Burioni R and Cassi D 1997 Mod. Phys. Lett. B 11 1095
19. Burioni R, Cassi D and Destri C 2000 J. Phys. A: Math. Gen. 33 3627
20. Montroll E and Weiss G H 1965 J. Math. Phys. 6 167
21. Burioni R, Cassi D and Regina S 1996 Mod. Phys. Lett. B 10 1059
22. Cassi D and Regina S 1993 Phys. Rev. Lett. 70 1647
23. Cassi D and Regina S 1996 Phys. Rev. Lett. 76 2914
24. Burioni R, Cassi D, Pirati A and Regina S 1998 J. Phys. A: Math. Gen. 31 5013
25. Rammal R and Toulouse G 1983 J. Physique - Lett. 44 L13
26. Hilfer R and Blumen A 1984 J. Phys. A: Math. Gen. 17 L537
27. Milosevic S, Stassinopoulos D and Stanley H E 1988 J. Phys. A: Math. Gen. 21 1477
28. Dhar D 1988 J. Phys. A: Math. Gen. 21 2261
29. Kahng B and Redner S 1989 J. Phys. A: Math. Gen. 22 887
30. Maritan A, Sartoni G and Stella A L 1993 Phys. Rev. Lett. 71 1027
31. Gefen Y, Aharony A and Mandelbrot B B 1980 Phys. Rev. Lett. 45 855
32. Grabner P J and Woess W 1997 Stochastic Proc. Appl. 69 127
33. Giacometti A, Maritan A and Stella A L 1991 Int. J. Mod. Phys. B 5 709
34. de Gennes P G 1979 Scaling Concepts in Polymer Physics (Ithaca, NY: Cornell University Press)
35. Hilfer R and Blumen A 1986 Fractals in Physics, Proc. VI Trieste Int. Symp. (July 1985) ed L Pietronero and E Tosatti (Amsterdam: North-Holland)
36. Doyle P G and Snell J L 1984 Random Walks and Electric Networks (Lincoln, NE: The Mathematical Association of America)
37. Donetti L 2002 Preprint condmat 0206149
38. Cassi D and Regina S 1993 Phys. Rev. Lett. 70 1647