"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. E54, 1332 (1996) and (cond-mat/9605103).
"Graphical Representations and Cluster Algorithms, Parts I and II", L. Chayes and J. Machta, Physica A239, 542 (1997) and Physica A254, 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. E58, 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. E59, 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. E62, 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. E62, 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. E65, 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. B67, 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. B74, 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. E55, 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 A300, 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. E69, 051403 (2004) and (cond-mat/0309519).
"Parallel Dynamics and Computational Complexity of Network Growth Models", B. Machta and J. Machta, Phys. Rev. E71, 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).