Random Fibonacci sequences

Journal of Physics A: Mathematical and General

Volumn 34, Issue 42, 2001, Pages 9065-9083

  Sire, Clément ^a   Krapivsky, Paul L ^b  

^a European Theoretical Spectroscopy Facility   (France)

^b Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035955584     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/42/322     Document Type: Article

References (29)

1. Conway J H and Guy R K 1996 The Book of Numbers (New York: Copernicus)
2. Jean R V 1994 Phyllotaxis: A Systematic Study of Plant Morphogenesis (Cambridge: Cambridge University Press)
3. Bougerol P and Lacroix J 1985 Products of Random Matrices with Applications to Schrödinger Operators (Boston: Birkhäuser)
4. Diaconis P and Freedman D 1999 SIAM Rev. 41 45
5. Furstenberg H 1963 Trans. Am. Math. Soc. 108 377
6. Viswanath D 2000 Math. Comput. 69 1131
7. Embree M and Trefethen L N 1999 Proc. R. Soc. 455 2471
8. Oshanin G 2001 private communication
9. Halperin B 1967 Adv. Chem. Phys. 13 123
10. Derrida B and Hilhorst H J 1983 J. Phys. A: Math. Gen. 16 2641
11. Dyson F J 1953 Phys. Rev. 92 1331
12. Schmidt H 1957 Phys. Rev. 105 425
13. Kappus M and Wegner F 1981 Z. Phys. B 45 15
14. Derrida B and Gardner E 1984 J. Physique 45 1283
15. Crisanti A, Paladin G and Vulpiani A 1992 Products of Random Matrices in Statistical Physics (Berlin: Springer)
16. Luck J M 1992 Systèmes Désordonnés Unidimensionnels (Aléa-Saclay)
17. Kadanoff L P and Swift J 1968 Phys. Rev. 165 310 Fogedby H C, Eriksson A B and Mikheev L V 1995 Phys. Rev. Lett. 75 1883 Bauer M, Bernard D and Luck J M 2001 J. Phys. A: Math. Gen. 34 2659
18. Kadanoff L P and Swift J 1968 Phys. Rev. 165 310 Fogedby H C, Eriksson A B and Mikheev L V 1995 Phys. Rev. Lett. 75 1883 Bauer M, Bernard D and Luck J M 2001 J. Phys. A: Math. Gen. 34 2659
19. Kadanoff L P and Swift J 1968 Phys. Rev. 165 310 Fogedby H C, Eriksson A B and Mikheev L V 1995 Phys. Rev. Lett. 75 1883 Bauer M, Bernard D and Luck J M 2001 J. Phys. A: Math. Gen. 34 2659
20. Hatano N and Nelson D R 1997 Phys. Rev. B 56 8651 Nelson D R and Shnerb N M 1998 Phys. Rev. E 58 1383 Hatano N 1998 Physica A 254 317
21. Hatano N and Nelson D R 1997 Phys. Rev. B 56 8651 Nelson D R and Shnerb N M 1998 Phys. Rev. E 58 1383 Hatano N 1998 Physica A 254 317
22. Hatano N and Nelson D R 1997 Phys. Rev. B 56 8651 Nelson D R and Shnerb N M 1998 Phys. Rev. E 58 1383 Hatano N 1998 Physica A 254 317
23. Goldsheid I Y and Khoruzhenko B A 1998 Phys. Rev. Lett. 80 2897
24. Feinberg J and Zee A 1999 Phys. Rev. E 59 6433 Feinberg J and Zee A 1999 Nucl. Phys. B 552 599
25. Feinberg J and Zee A 1999 Phys. Rev. E 59 6433 Feinberg J and Zee A 1999 Nucl. Phys. B 552 599
26. Derrida B, Jacobsen J L and Zeitak R 2000 J. Stat. Phys. 98 31
27. Bender C M and Orszag S A 1999 Advanced Mathematical Methods for Scientists and Engineers (Berlin: Springer)
28. Graham R L, Knuth D E and Patashnik O 1994 Concrete Mathematics 2nd edn (Reading, MA: Addison-Wesley)
29. Bellissard J 1986 Statistical Mechanics and Field Theory, Mathematical Aspects (Lecture Notes in Physics vol 257) (Berlin: Springer) p 99