Heavy-tailed random error in quantum Monte Carlo

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 1, 2008, Pages

  Trail, J R ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

MONTE CARLO METHODS; PROBLEM SOLVING; RANDOM ERRORS; RANDOM PROCESSES; THEOREM PROVING;

MANY-BODY QUANTUM PHYSICS; STATISTICAL ESTIMATES;

QUANTUM THEORY;

EID: 40749130025     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.016703     Document Type: Article

References (33)

1. W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.33 73, 33 (2001).
2. J. F. Traub and A. G. Wershulz, Complexity and Information (Cambridge University Press, Cambridge, England, 1998).
3. R. Assaraf and M. Caffarel, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1621615 119, 10536 (2003);
4. R. Assaraf, M. Caffarel, and A. Scemama, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.035701 75, 035701 (R) (2007);
5. J. Toulouse, R. Assaraf, and C. J. Umrigar, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2746029 126, 244112 (2007).
6. J. R. Trail, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.77.016704 77, 016704 (2008).
7. D. W. Stroock, Probability Theory: An Analytic View (Cambridge University Press, Cambridge, England, 1993).
8. R. T. Pack and W. B. Brown, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1727605 45, 556 (1966).
9. C. R. Myers, C. J. Umrigar, J. P. Sethna, and J. D. Morgan III, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.5537 44, 5537 (1991).
10. M. Bajdich, L. Mitas, G. Drobny, and L. K. Wagner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.075131 72, 075131 (2005).
11. C. F. Fischer, G. Tachiev, G. Gaigalas, and M. Godefroid, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2007.01.006 176, 559 (2007);
12. http://atoms.vuse.vanderbilt.edu.
13. N. D. Drummond, M. D. Towler, and R. J. Needs, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.235119 70, 235119 (2004).
14. P. López Ríos, A. Ma, N. D. Drummond, M. D. Towler, and R. J. Needs, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.066701 74, 066701 (2006).
15. R. J. Needs, M. D. Towler, N. D. Drummond, and P. López Ríos, CASINO User's Guide, Version 2.0.0 (2006).
16. S. J. Chakravorty, S. R. Gwaltney, E. R. Davidson, F. A. Parpia, and C. F. Fischer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.47.3649 47, 3649 (1993).
17. A. J. Izenman, J. Am. Stat. Assoc. JSTNAL 0162-1459 86, 204 (1991).
18. D. Bressanini, G. Morosi, and M. Mella, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1455618 116, 5345 (2002).
19. P. R. C. Kent, R. J. Needs, and G. Rajagopal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.12344 59, 12344 (1999).
20. R. Bianchi, P. Cremaschi, G. Morosi, and C. Puppi, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(88)87265-8 148, 86 (1988).
21. V. R. Pandharipande, S. C. Pieper, and R. B. Wiringa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.4571 34, 4571 (1986).
22. V. V. Senatov, in Normal Approximation: New Results, Methods and Problems, (VSP Internation Science, Leiden, The Netherlands, 1998).
23. B. V. Gnedenko and A. N. Kolomogorov, Limit Distributions for Sums of Independent Random Variables (Addison-Wesley, Reading, MA, 1968).
24. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw Hill, New York, 1953).
25. S. A. Alexander, R. L. Coldwell, H. J. Monkhorst, and J. D. Morgan III, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.452408 86, 6622 (1991).
26. H. Conroy, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1726069 41, 1331 (1964).
27. J. P. Nolan, in Stable Distributions-Models for Heavy Tailed Data, (Birkhauser, Boston 2001).
28. S. D. Kenny, G. Rajagopal, and R. J. Needs, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.1898 51, 1898 (1995).
29. J. Vrbik, M. F. DePasquale, and S. M. Rothstein, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.453877 88, 3784 (1988).
30. A. Badinski and R. J. Needs, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.036707 76, 036707 (2007).
31. C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.110201 98, 110201 (2007).
32. M. D. Brown, J. R. Trail, P. Lopez Rios, and R. J. Needs, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2743972 126, 224110 (2007).
33. A. Edelman, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/0024-3795(91) 90076-9 159, 55 (1991).