The inverse Ising problem for one-dimensional chains with arbitrary finite-range couplings

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2011, Issue 10, 2011, Pages

  Gori, Giacomo ^a,b   Trombettoni, Andrea ^a,b  

^a SISSA   (Italy)

^b SEZIONE DI TRIESTE   (Italy)

Author keywords

ladders and planes (theory); solvable lattice models; spin chains; statistical inference

Indexed keywords

EID: 80155134838     PISSN: None     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2011/10/P10021     Document Type: Article

References (44)

1. Beck J V and Arnold K J 1977 Parameter Estimation in Engineering and Science (New York: Wiley)
2. Bezruchko B and Smirnov D 2010 Extracting Knowledge from Time Series: An Introduction to Nonlinear Empirical Modeling (Berlin: Springer)
3. Barabsi A-L 2002 Linked: The New Science of Networks (Cambridge, MA: Perseus)
4. Carlin B P and Chib S 1995 J. R. Statist. Soc. Ser. B 57 473
5. McKay D 2003 Information Theory, Inference, and Learning Algorithms (Cambridge: Cambridge University Press)
6. Schneidman E, Berry M J II, Segev R and Bialek W 2006 Nature 440 1007
7. Cocco S, Leibler S and Monasson R 2009 Proc. Nat. Acad. Sci. 106 14058
8. Cocco S and Monasson R 2011 Phys. Rev. Lett. 106 090601
9. Mantegna R N and Stanley H E 2000 An Introduction to Econophysics (Cambridge: Cambridge University Press)
10. Mussardo G 2010 Statistical Field Theory (Oxford: Oxford University Press)
11. Villain J, Bidaux R, Carton J-P and Conte R 1980 J. Physique 41 1263
12. Chandra P, Coleman P and Larkin A I 1990 Phys. Rev. Lett. 64 88
13. Horiguchi T and Morita T 1990 J. Phys. Soc. Japan 59 888
14. Weber C, Capriotti L, Misguich G, Becca F, Elhajal M and Mila F 2003 Phys. Rev. Lett. 91 177202
15. Krauth W 2006 Statistical Mechanics: Algorithms and Computations (Oxford: Oxford University Press)
16. Marinari E and Van Kerrebroeck V 2010 J. Stat. Mech. P02008
17. Roudi Y, Tyrcha J and Hertz J 2009 Phys. Rev. E 79 51915
18. Sessak V 2011 PhD Thesis Université Pierre et Marie Curie, Paris
19. Sessak V and Monasson R 2009 J. Phys. A: Math. Theor. 42 055001
20. Zimm B H and Bragg J K 1959 J. Chem. Phys. 31 526
21. Lifson S and Roig A 1961 J. Chem. Phys. 34 1963
22. Schreck J and Yuan J 2010 Phys. Rev. E 81 061919
23. Durbin R, Eddy S R, Krogh A and Mitchison G 2002 Probabilistic Models of Proteins and Nucleic Acids (Cambridge: Cambridge University Press)
24. Uzelac K and Glumac Z 1988 J. Phys. A: Math. Gen. 21 L421
25. Glumac Z and Uzelac K 1989 J. Phys. A: Math. Gen. 22 4439
26. Thouless D J 1969 Phys. Rev. 187 732
27. Kosterlitz J M 1976 Phys. Rev. Lett. 37 1577
28. Cardy J L 1981 J. Phys. A: Math. Gen. 14 1407
29. Luijten E and Messingfeld H 2001 Phys. Rev. Lett. 86 5305
30. Fisher M E, Ma S-K and Nickel B G 1972 Phys. Rev. Lett. 29 917
31. Blöte H and Luijten E 1997 Phys. Rev. B 56 8945
32. Binder K and Luijten E 2001 Phys. Rep. 344 179
33. Büchler H P, Micheli A and Zoller P 2007 Nature Phys. 3 726
34. Mastromatteo I and Marsili M in preparation
35. Mukamel D, Ruffo S and Schreiber N 2005 Phys. Rev. Lett. 95 240604
36. Vollmayr-Lee B P and Luijten E 2001 Phys. Rev. E 63 031108
37. Kardar M 1983 Phys. Rev. Lett. 51 523
38. Kardar M 1983 Phys. Rev. B 28 244
39. Campa A, Dauxois T and Ruffo S 2009 Phys. Rep. 480 57
40. Gori G and Trombettoni A in preparation
41. Van der Straeten E 2009 Entropy 11 867
42. Dobrushin R L 1969 Theory Probab. Appl. 13 197
43. Lanford O E III and Ruelle D 1969 Commun. Math. Phys. 13 194
44. Yeomans J M 1992 Statistical Mechanics of Phase Transitions (Oxford: Clarendon)