"Invaded Cluster Algorithm for Equilibrium Critical Points", J.
Machta, Y. S. Choi, A. Lucke, T. Schweizer and L. V. Chayes,
Phys.
Rev. Lett. **75**, 2792 (1995) and (cond-mat/9507094).

"Invaded Cluster Algorithm for Potts Models", J. Machta, Y. S.
Choi, A. Lucke, T. Schweizer and L. V. Chayes, Phys.
Rev. E**54**, 1332 (1996) and (cond-mat/9605103).

"Graphical Representations and Cluster Algorithms, Parts I and
II", L. Chayes and J. Machta, Physica A**239**, 542 (1997) and
Physica A**254**, 477 (1998).

"Monte Carlo study of the Widom-Rowlinson fluid using cluster
methods", Gregory Johnson, Harvey Gould, J. Machta and L. K. Chayes,
Phys.
Rev. Lett. **79**, 2612 (1997) and (cond-mat/9704163).

"Parallel Invaded Cluster Algorithm for the Ising Model", Y. S.
Choi, J. Machta, P. Tamayo and L. X. Chayes,
Int. J. Mod. Phys. C **10**, 1 (1999) and (cond-mat/9806127)

"Graphical Representations and Cluster Algorithms for Critical
Points with Fields", O. Redner, J. Machta and L. F. Chayes, Phys.
Rev. E**58**, 2749 (1998) and (cond-mat/9802063).

"Graphical Representations for Ising Systems in External Fields", L. Chayes, J. Machta and O. Redner, J. Stat. Phys. **93**, 17 (1998) and (cond-mat/9806312).

"Dynamic and Static Properties of the Invaded Cluster Algorithm",
K. Moriarty, J. Machta and L. Y. Chayes, Phys.
Rev. E**59**, 1425 (1999) and (cond-mat/9811138).

"Cluster Monte Carlo study of multicomponent fluids of the
Stillinger-Helfand and Widom-Rowlinson type", R. Sun, H. Gould, J.
Machta and L. Chayes, Phys.
Rev. E**62**, 2226 (2000) and (cond-mat/0003516).

"Replica exchange algorithm and results for the random field Ising
model", J. Machta, M. E. J. Newman and L. Chayes, Phys.
Rev. E**62**, 8782 (2000) and (cond-mat/0006267).

"Invaded cluster simulations of the XY model in two and three
dimensions", I. Dukovski, J. Machta and L. Chayes, Phys.
Rev. E**65**, 026702 (2002) and (cond-mat/0105143).

"Ground State Numerical Study of the Three-Dimensional Random Field Ising Model", I. Dukovski and J. Machta, Phys. Rev. B**67**, 014413 (2003) and (cond-mat/0207438).

"Ground States and Thermal States of the Random Field Ising Model", Y. Wu and J. Machta, Phys. Rev. Lett. **95**, 137208 (2005) and (cond-mat/0501619).

"Numerical study of the three-dimensional random-field Ising model at zero and positive temperature", Y. Wu and J. Machta, Phys. Rev. B**74**, 064418 (2006) and (cond-mat/0602314).

"The Percolation Signature of the Spin Glass Transition", J. Machta, C. M. Newman and D. L. Stein, J. Stat. Phys. **130**, 113 (2008) and (arXiv:0707.0073).

"Strengths and Weaknesses of Parallel Tempering", J. Machta, Phys. Rev. E80, 056706 (2009) and (arXiv:0908.0012).

"Population annealing with weighted averages: A Monte Carlo method for rough free-energy", J. Machta, Phys. Rev. E 82, 026704 (2010) and arXiv:1006.0252

"Monte Carlo Methods for Rough Free Energy Landscapes: Population Annealing and Parallel Tempering", J. Machta and R. S. Ellis, arXiv:1104.1138

"On the Parallel Complexity of Growth Models", J. Machta and R.
Greenlaw, J. Stat. Phys. **77**, 755 (1994) and (cond-mat/9403006).

"The Computational Complexity of Generating Random Fractals", J.
Machta and R. Greenlaw, J. Stat. Phys. **82**, 1299 (1996) and
(cond-mat/9503170).

"The Computational Complexity of the Lorentz Lattice Gas", K. Moriarty and J. Machta, J. Stat. Phys. **87**, 1245 (1997) and (comp-gas/9607001).

"Parallel Algorithm and Dynamic Exponent for Diffusion-limited
Aggregation", K. Moriarty, J. Machta and R. Greenlaw, Phys.
Rev. E**55**, 6211 (1997) and (comp-gas/9609001).

"Internal diffusion-limited aggregation: Parallel algorithms and complexity", C. Moore and J. Machta, J. Stat. Phys. **99**, 661 (2000) and (cond-mat/9909233).

"Parallel Dynamics and Computational Complexity of the Bak-Sneppen
Model", J. Machta and X.-N.Li, Physica
A**300**, 245-270 (2001) and (cond-mat/0105296).

"Sampling Chaotic Trajectories Quickly in Parallel", J. Machta, J. Stat. Phys. **109**, 863-873 (2002) and (nlin.CD/0202056).

"Structural and Computational Depth of Diffusion-limited Aggregation", D. Tillberg and J. Machta, Phys. Rev. E**69**, 051403 (2004) and (cond-mat/0309519).

"Parallel Dynamics and Computational Complexity of Network Growth Models", B. Machta and J. Machta, Phys. Rev. E**71**, 026704 (2005) and (cond-mat/0408372).

"Complexity, Parallel Computation and Statistical Physics", J. Machta, Complexity Journal, **11** (5), 46-64 (2006) and cond-mat/0510809.

"Parallel Complexity of Random Boolean Circuits". J. Machta, S. DeDeo, S. Mertens, C. Moore, arXiv:1102.3310 and accepted for publication in JSTAT.

"Stationary States and Energy Cascades in Inelastic Gases", E. Ben-Naim and J. Machta, Phys. Rev. Lett. **94**, 138001 (2005) and (cond-mat/0411743).

"Granular gases under extreme driving", W. Kang, J. Machta and E. Ben-Naim, Europhysics Lett. 91, 34002 (2010) and arXiv:1002.0995

"Phase Information in Quantum Oracle Computing", J. Machta (quant-ph/9805022).