A Farey fraction spin chain

Communications in Mathematical Physics

Volumn 203, Issue 3, 1999, Pages 635-647

  Kleban, P ^a   Ozluk A E ^b  

^a University of Maine   (United States)

^b UNIVERSITY OF MAINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033242960     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050629     Document Type: Article

References (10)

1. [C-K] Contucci, P. and Knauf, A.: The Phase Transition of the Number-Theoretical Spin Chain. Forum Mathematicum 9, 547-567 (1997)
2. [C-K-K] Contucci, P., Kleban, P., and Knauf A.: A Fully Magnetizing Phase Transition. Preprint (math-ph/9811020)
3. [Cv] Cvitanovic, P.: Circle Maps: Irrationally Winding. In: From Number Theory to Theoretical Physics, Berlin-Heidelberg-New York: Springer, 1992
4. [D-D-T] Deshouillers, J.-M., Dress, F. and Tenenbaum, G.: Lois de répartition des diviseurs, I. Acta Arithmetica XXXIV (1979)
5. [G-K] Guerra, F. and Knauf, A.: Free Energy and Correlations of the Number-Theoretical Spin Chain. J. Math. Phys. 39, 3188-3202 (1998) (http://wwwsfb288.math.tu_berlin.de/bulletinboard.html)
6. [H-T] Hall, R. and Tenenbaum, G.: Divisors. Cambridge: Cambridge University Press, 1988
7. [Ka] Knauf, A.: On a Ferromagnetic Spin Chain. Commun. Math. Phys. 153, 77-115 (1993)
8. [Kb] Knauf, A.: Phases of the Number-Theoretical Spin Chain. J. Stat. Phys. 73, 423-431 (1993)
9. [Kd] Knauf, A.: On a Ferromagnetic Spin Chain, Part II: Thermodynamic Limit. J. Math. Phys. 35, 228-236 (1994)
10. [P] Peschel, I.: Private communication