journal article
Feb 01, 1989
Exponential convergence to equilibrium for a class of random-walk models
Journal of Statistical Physics
Vol. 54
No. 3-4
pp. 797-828
·
Springer Science and Business Media LLC
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References
39
[1]
K. Binder, ed.,Monte Carlo Methods in Statistical Physics (Springer, Berlin, 1979; 2nd ed., 1986).
[2]
K. Binder, ed.,Applications of the Monte Carlo Method in Statistical Physics (Springer, Berlin, 1984; 2nd ed., 1987).
[3]
A. Berretti and A. D. Sokal,J. Stat. Phys. 40:483 (1985).
10.1007/bf01017183
[4]
J. Goodman and A. D. Sokal,Phys. Rev. Lett. 56:1015 (1986).
10.1103/physrevlett.56.1015
[5]
S. Caracciolo and A. D. Sokal,J. Phys. A 19:L797 (1986).
10.1088/0305-4470/19/13/008
[6]
The pivot algorithm: A highly efficient Monte Carlo method for the self-avoiding walk
Neal Madras, Alan D. Sokal
Journal of Statistical Physics
1988
10.1007/bf01022990
[7]
G. F. Lawler and A. D. Sokal,Trans. Am. Math. Soc. 309:557 (1988).
[8]
A. D. Sokal and L. E. Thomas,J. Stat. Phys. 51:907 (1988).
10.1007/bf01014892
[9]
A. D. Sokal and L. E. Thomas, Lower bounds on the autocorrelation time of a reversible Markov chain, with applications to statistical mechanics, in preparation.
[10]
A. D. Sokal, Geometric ergodicity andL p spectra for Markov chains, in preparation.
[11]
A. D. Sokal, inVIIIth International Congress on Mathematical Physics, R. S�n�or and M. Mebkhout, eds. (World Scientific, Singapore, 1987).
[12]
R. G. Edwards and A. D. Sokal,Phys. Rev. D 38:2009 (1988).
10.1103/physrevd.38.2009
[13]
A. J. Guttmann, T. R. Osborn, and A. D. Sokal,J. Phys. A 19:2591 (1986).
10.1088/0305-4470/19/13/024
[14]
Ph. de Forcrand, F. Koukiou, and D. Petritis,J. Stat. Phys. 45:459 (1986).
10.1007/bf01021082
[15]
Ph. de Forcrand, F. Koukiou, and D. Petritis,J. Stat. Phys. 49:223 (1987).
10.1007/bf01009959
[16]
J. M. Pureza, C. Arag�o de Carvalho, and S. L. A. de Quieroz,J. Phys. A 20:4409 (1987).
10.1088/0305-4470/20/13/041
[17]
A. J. Guttmann and T. R. Osborn,J. Phys. A 21:513 (1988).
10.1088/0305-4470/21/2/028
[18]
G. F. Lawler and A. D. Sokal, in preparation;
[19]
B. Duplantier, private communication.
[20]
K. L. Chung,Markov Chains with Stationary Transition Probabilities, 2nd ed. (Springer, New York, 1967).
[21]
E. Nummelin,General Irreducible Markov Chains and Non-Negative Operators (Cambridge University Press, Cambridge, 1984).
10.1017/cbo9780511526237
[22]
Z. ?id�k,Czech. Math. J. 14:438 (1964).
10.21136/cmj.1964.100631
[23]
W. Rudin,Functional Analysis (McGraw-Hill, New York, 1973).
[24]
E. Hille and R. S. Phillips,Functional Analysis and Semi-Groups (American Mathematical Society, Providence, Rhode Island, 1957).
[25]
P. R. Halmos,A Hilbert Space Problem Book, 2nd ed. (Springer, New York, 1982).
10.1007/978-1-4684-9330-6
[26]
R. Holley,Ann. Prob. 13:72 (1985).
10.1214/aop/1176993067
[27]
J. G. Kemeny and J. L. Snell,Finite Markov Chains (Springer, New York, 1976).
[28]
M. Iosifescu,Finite Markov Processes and Their Applications (Wiley, Chichester, 1980).
[29]
C. Kipnis and S. R. S. Varadhan,Commun. Math. Phys. 1104:1 (1986).
10.1007/bf01210789
[30]
J. W. Essam and M. E. Fisher,Rev. Mod. Phys. 42:271 (1970).
10.1103/revmodphys.42.271
[31]
W. G. Sullivan,Z. Wahrsch. Verw. Gebiete 67:387 (1984).
10.1007/bf00532046
[32]
L. R. Shenton,Proc. Camb. Phil. Soc. 51:442 (1955).
10.1017/s0305004100030449
[33]
J. G. Mauldon,Am. Math. Monthly 94:423 (1987).
10.1080/00029890.1987.12000658
[34]
J. Keilson,Markov Chain Models ? Rarity and Exponentiality (Springer, New York, 1979).
10.1007/978-1-4612-6200-8
[35]
D. C. Brydges, J. Fr�hlich, and A. D. Sokal,Commun. Math. Phys. 91:141 (1983).
10.1007/bf01211157
[36]
G. Slade,Commun. Math. Phys. 110:661 (1987). See also T. Hara and G. Slade, to be published.
10.1007/bf01205555
[37]
R. Cogburn,Ann. Prob. 3:191 (1975).
10.1214/aop/1176996393
[38]
L. E. Thomas and Z. Yin,J. Math. Phys. 27:2475 (1986).
10.1063/1.527310
[39]
J. M. Hammersley and K. W. Morton,J. Roy. Stat. Soc. B 16:23 (1954); J. M. Hammersley,Proc. Camb. Phil. Soc. 53:642 (1957).
10.1111/j.2517-6161.1954.tb00145.x
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Details
- Published
- Feb 01, 1989
- Vol/Issue
- 54(3-4)
- Pages
- 797-828
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Cite This Article
Alan D. Sokal, Lawrence E. Thomas (1989). Exponential convergence to equilibrium for a class of random-walk models. Journal of Statistical Physics, 54(3-4), 797-828. https://doi.org/10.1007/bf01019776
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