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Volumn 81, Issue 6, 2010, Pages

Error estimation and reduction with cross correlations

Author keywords

[No Author keywords available]

Indexed keywords

COVARIANCE ANALYSIS; CROSS CORRELATIONS; DATA ANALYSIS; DATA POOL; ERROR ESTIMATES; ERROR ESTIMATIONS; MONTE CARLO SIMULATION; OPTIMAL ESTIMATOR; RESAMPLING TECHNIQUE;

EID: 77953471526     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.066701     Document Type: Article
Times cited : (43)

References (53)
  • 3
    • 0002002183 scopus 로고    scopus 로고
    • in edited by K. H. Hoffmann and M. Schreiber (Springer, Berlin
    • W. Janke, in Computational Physics, edited by, K. H. Hoffmann, and, M. Schreiber, (Springer, Berlin, 1996), pp. 10-43.
    • (1996) Computational Physics , pp. 10-43
    • Janke, W.1
  • 5
    • 0347693389 scopus 로고    scopus 로고
    • 10.1088/0034-4885/66/12/R01
    • M. Vojta, Rep. Prog. Phys. 66, 2069 (2003). 10.1088/0034-4885/66/12/R01
    • (2003) Rep. Prog. Phys. , vol.66 , pp. 2069
    • Vojta, M.1
  • 6
    • 0003440273 scopus 로고    scopus 로고
    • 4th ed. (Oxford University Press, Oxford, 10.1093/acprof:oso/ 9780198509233.001.0001
    • J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 4th ed. (Oxford University Press, Oxford, 2002). 10.1093/acprof:oso/9780198509233.001. 0001
    • (2002) Quantum Field Theory and Critical Phenomena
    • Zinn-Justin, J.1
  • 8
    • 0000444493 scopus 로고
    • 10.1103/PhysRevB.43.8539
    • D. Kandel and E. Domany, Phys. Rev. B 43, 8539 (1991). 10.1103/PhysRevB.43.8539
    • (1991) Phys. Rev. B , vol.43 , pp. 8539
    • Kandel, D.1    Domany, E.2
  • 10
    • 6644221271 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.86.2050
    • F. Wang and D. P. Landau, Phys. Rev. Lett. 86, 2050 (2001). 10.1103/PhysRevLett.86.2050
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 2050
    • Wang, F.1    Landau, D.P.2
  • 11
    • 0001315226 scopus 로고
    • in edited by C. Domb and J. L. Lebowitz (Academic Press, New York
    • M. E. Barber, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic Press, New York, 1983), Vol. 8, pp. 146-266.
    • (1983) Phase Transitions and Critical Phenomena , vol.8 , pp. 146-266
    • Barber, M.E.1
  • 17
  • 18
    • 0034261285 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.62.6343
    • M. Weigel and W. Janke, Phys. Rev. B 62, 6343 (2000). 10.1103/PhysRevB.62.6343
    • (2000) Phys. Rev. B , vol.62 , pp. 6343
    • Weigel, M.1    Janke, W.2
  • 19
    • 63249122581 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.102.100601
    • M. Weigel and W. Janke, Phys. Rev. Lett. 102, 100601 (2009). 10.1103/PhysRevLett.102.100601
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 100601
    • Weigel, M.1    Janke, W.2
  • 23
    • 0038658626 scopus 로고    scopus 로고
    • in Proceedings of the 1996 NATO Advanced Study Institute in Cargèse, Plenum Press, New York, A. Folacci (P. Cartier, and edited by C. DeWitt-Morette
    • A. D. Sokal, in Functional Integration: Basics and Applications, Proceedings of the 1996 NATO Advanced Study Institute in Cargèse, edited by, C. DeWitt-Morette, P. Cartier, and, A. Folacci, (Plenum Press, New York, 1997), pp. 131-192.
    • (1997) Functional Integration: Basics and Applications , pp. 131-192
    • Sokal, A.D.1
  • 26
    • 0001835044 scopus 로고
    • in edited by C. Domb and M. S. Green (Academic Press, New York
    • K. Binder, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M. S. Green, (Academic Press, New York, 1976), Vol. 5b, pp. 1-105.
    • (1976) Phase Transitions and Critical Phenomena , vol.5 , pp. 1-105
    • Binder, K.1
  • 28
    • 0001310809 scopus 로고
    • in edited by G. 't Hooft, Proceedings of the 1979 NATO Advanced Study Institute in Cargèse (Plenum Press, New York
    • K. G. Wilson, in Recent Developments in Gauge Theories, edited by, G. 't Hooft, Proceedings of the 1979 NATO Advanced Study Institute in Cargèse (Plenum Press, New York, 1980), pp. 363-402.
    • (1980) Recent Developments in Gauge Theories , pp. 363-402
    • Wilson, K.G.1
  • 32
    • 77953450068 scopus 로고    scopus 로고
    • Note that when using the Wang-Landau method as a direct estimate of the density of states to be used for computing thermal expectation values, due to the non-Markovian nature of the algorithm there is currently no known approach of reliably estimating the present statistical fluctuations apart from repeating the whole calculation a certain number of times.
    • Note that when using the Wang-Landau method as a direct estimate of the density of states to be used for computing thermal expectation values, due to the non-Markovian nature of the algorithm there is currently no known approach of reliably estimating the present statistical fluctuations apart from repeating the whole calculation a certain number of times.
  • 33
    • 77953375841 scopus 로고    scopus 로고
    • Note that Eqs. (4) and (5) of Ref. contain some mistakes, but Eq. and the implementation are correct.
    • Note that Eqs. (4) and (5) of Ref. contain some mistakes, but Eq. and the implementation are correct.
  • 34
    • 0026819446 scopus 로고
    • 10.1016/0010-4655(92)90124-H
    • B. A. Berg, Comput. Phys. Commun. 69, 7 (1992). 10.1016/0010-4655(92) 90124-H
    • (1992) Comput. Phys. Commun. , vol.69 , pp. 7
    • Berg, B.A.1
  • 35
    • 5244336186 scopus 로고
    • 10.1103/PhysRevLett.62.361
    • U. Wolff, Phys. Rev. Lett. 62, 361 (1989). 10.1103/PhysRevLett.62.361
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 361
    • Wolff, U.1
  • 38
    • 0033163704 scopus 로고    scopus 로고
    • 10.1088/0305-4470/32/26/304
    • M. Hasenbusch, J. Phys. A 32, 4851 (1999). 10.1088/0305-4470/32/26/304
    • (1999) J. Phys. A , vol.32 , pp. 4851
    • Hasenbusch, M.1
  • 40
    • 0036471520 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.65.064110
    • W. Janke and R. Kenna, Phys. Rev. B 65, 064110 (2002). 10.1103/PhysRevB.65.064110
    • (2002) Phys. Rev. B , vol.65 , pp. 064110
    • Janke, W.1    Kenna, R.2
  • 41
    • 4243777415 scopus 로고
    • 10.1007/BF01293604
    • K. Binder, Z. Phys. B 43, 119 (1981). 10.1007/BF01293604
    • (1981) Z. Phys. B , vol.43 , pp. 119
    • Binder, K.1
  • 42
    • 0032393880 scopus 로고    scopus 로고
    • 10.1103/RevModPhys.70.653
    • M. E. Fisher, Rev. Mod. Phys. 70, 653 (1998). 10.1103/RevModPhys.70.653
    • (1998) Rev. Mod. Phys. , vol.70 , pp. 653
    • Fisher, M.E.1
  • 47
    • 0036792138 scopus 로고    scopus 로고
    • 10.1016/S0370-1573(02)00219-3
    • A. Pelissetto and E. Vicari, Phys. Rep. 368, 549 (2002). 10.1016/S0370-1573(02)00219-3
    • (2002) Phys. Rep. , vol.368 , pp. 549
    • Pelissetto, A.1    Vicari, E.2
  • 49
    • 16844365700 scopus 로고    scopus 로고
    • in NATO Science Series II. Mathematics, Physics, and Chemistry Vol. edited by B. Dünweg, Kluwer Academic, Dordrecht, A. I. Milchev (D. P. Landau, and
    • W. Janke, in Computer Simulations of Surfaces and Interfaces, NATO Science Series II. Mathematics, Physics, and Chemistry Vol. 114, edited by, B. Dünweg, D. P. Landau, and, A. I. Milchev, (Kluwer Academic, Dordrecht, 2003), pp. 111-135.
    • (2003) Computer Simulations of Surfaces and Interfaces , vol.114 , pp. 111-135
    • Janke, W.1
  • 50
    • 37549067687 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.76.066706
    • M. Weigel, Phys. Rev. E 76, 066706 (2007). 10.1103/PhysRevE.76.066706
    • (2007) Phys. Rev. e , vol.76 , pp. 066706
    • Weigel, M.1
  • 51
    • 41549149135 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.77.104437
    • M. Weigel and M. J. P. Gingras, Phys. Rev. B 77, 104437 (2008). 10.1103/PhysRevB.77.104437
    • (2008) Phys. Rev. B , vol.77 , pp. 104437
    • Weigel, M.1    Gingras, M.J.P.2
  • 52
    • 0001071045 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.56.3682
    • P. Grassberger, Phys. Rev. E 56, 3682 (1997). 10.1103/PhysRevE.56.3682
    • (1997) Phys. Rev. e , vol.56 , pp. 3682
    • Grassberger, P.1
  • 53
    • 0346216021 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.91.208105
    • M. Bachmann and W. Janke, Phys. Rev. Lett. 91, 208105 (2003). 10.1103/PhysRevLett.91.208105
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 208105
    • Bachmann, M.1    Janke, W.2


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