BIBLIOGRAPHY 223
Ising model. SIAM J. Comput., 22:1087–1116, 1993.
[71] M. Jerrum, A. Sinclair, and E. Vigoda. A polynomial-time approximation
algorithm for the p ermanent of a matrix with non-negative entries. In Proc.
33rd ACM Sympos. on Theory of Computing, pages 712–721, 2001.
[72] M. Jerrum, L. Valiant, and V. Vazirani. Random generation of combinatorial
structures from a uniform distribution. Theoret. Comput. Sci., 43:169–188,
1986.
[73] M.R. Jerrum, A. Sinclair, and E. Vigoda. A polynomial-time approximation
algorithm for the permanent of a matrix with nonnegative entries. J. of the
ACM, 51(4):671–697, 2004.
[74] V. E. Johnson. Studying convergence of Markov chain Monte Carlo algo-
rithms using coupled sample paths. J. Amer. Statist. Assoc., 91:154–166, 1996.
[75] B. Kalantari and L. Khachiyan. On the complexity of nonnegative-matrix
scaling. Linear Algebra Appl., 240:87–103, 1996.
[76] S. Karlin and H.M. Taylor. A Second Course in Stochastic Processes. Aca-
demic Press, New York, 1981.
[77] A. Karzanov and L. Khachiyan. On the conductance of order Markov chains.
Order, 8(1):7–15, 1991.
[78] P.W. Kasteleyn. The statistics of dimers on a lattice, I., the number of dimer
arrangements on a quadratic lattice. Physica, 27:1664–1672, 1961.
[79] P.W. Kasteleyn. Dimer statistics and phase transitions. J. Math. Phys., 4:287,
1963.
[80] P.W. Kasteleyn. Graph theory and crystal Physics. In F. Harray, editor, Graph
Theory and Theoretical Physics, pages 43–110. Academic Press, London,
1967.
[81] W. S. Kendall. Perfect simulation for the area-interaction point process. In
Probability To wards 2000, volume 128 of Lecture notes in Statistics, pages
218–234. Springer-Verlag, 1998.
[82] W. S. Kendall and J. Møller. Perfect simulation u sing dominating processes on
ordered spaces, with application to locally stable point processes. Adv. Appl.
Prob., 32:844–865, 2000.
[83] P. E. Kloeden and E. Platen. Numerical Solution of Stochastic Differential
Equations. Springer-Verlag, Berlin Heidelberg New York, 1992.
[84] G. F. Lawler. Introduction to stochastic processes. Chapman & Hall/CRC,
1995.
[85] T. Lindvall. Lectures on the Coupling Method. Wiley, NY, 1992.
[86] N. Linial, A. Samorodnitsky, and A. Wigderson. A deterministic strongly
polynomial algorithm for matrix scaling and approximate permanents. Com-
binatorica, 20(4):545–568, 2000.
[87] E. Lubetzky and A. Sly. Information percolation f or the Ising model: cutoff in
three dimensions up to criticality. Technical report, 2014. Preprint.