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We use the cavity method to study parallel dynamics of disordered Ising models on a graph.
C. D. Dominicis, “Dynamics as a substitute for replicas in systems with quenched random impurities,” Phys. Rev. B
1978
Earlier work this paper cites.
L. Viana and A. J. Bray, “Phase diagrams for dilute spin glasses,” J. Phys. C: Solid State Phys
1985
Earlier work this paper cites.
B. Derrida, “Dynamical phase transition in non-symmetric spin glasses,” J Phys A: Math Gen
1987
Earlier work this paper cites.
B. Derrida, E. Gardner, and A. Zippelius, “An exactly solvable asymmetric neural network model,” Europhysics Letters
1987
Earlier work this paper cites.
A. Crisanti and H. Sompolinsky, “Dynamics of spin systems with randomly asymmetric bonds: Ising spins and glauber dynamics,” Phys. Rev. A
1988
Earlier work this paper cites.
R. N. Bhatt and A. P. Young, “Numerical studies of ising spin glasses in two, three, and four dimensions,” Phys. Rev. B
1988
Earlier work this paper cites.
H. Eissfeller and M. Opper, “New method for studying the dynamics of disordered spin systems without finite-size effects,” Phys. Rev. Lett
1992
Earlier work this paper cites.
R. Vicente, D. Saad, and Y. Kabashima, “Finite-connectivity systems as error-correcting codes,” Phys. Rev. E
1999
Earlier work this paper cites.
M. Paczuski, K. E. Bassler, and A. Corral, “Self-organized networks of competing boolean agents,” Phys. Rev. Lett
2000
Earlier work this paper cites.
M. Mézard and G. Parisi, “The bethe lattice spin glass revisited,” Eur. Phys. J. B
2001
Earlier work this paper cites.
F. R. Kschischang, B. J. Frey, and H. Loeliger, “Factor graphs and the sum-product algorithm,” IEEE Transactions on Information Theory
2001
Cited alongside, same era.
S. Morita, K. Oshio, Y. Osana, Y. Funabashi, K. Oka, and K. Kawamura, “Geometrical structure of the neuronal network of caenorhabditis elegans,” Physica A
2001
Cited alongside, same era.
Springer, 2002
K. Binder and D. W. Heermann, Monte Carlo Simulations in Statistical Physics · 2002
Cited alongside, same era.
N. Schwartz, R. Cohen, D. ben Avraham, A. L. Barabási, and S. Havlin, “Percolation in directed scale-free networks,” Phys. Rev. E
2002
Cited alongside, same era.
J. P. L. Hatchett, B. Wemmenhove, I. P. Castillo, T. Nikoletopoulos, N. S. Skantzos, and A. C. C. Coolen, “Parallel dynamics of disordered ising spin systems on finitely connected random graphs,” J Phys A: Math Gen
2004
Cited alongside, same era.
V. M. Eguíluz, D. R. Chialvo, G. A. Cecchi, M. Baliki, and A. V. Apkarian, “Scale-free brain functional networks,” Phys. Rev. Lett
2005
Later among the works it cites.
Wiley-VCH, 2005
A. K. Hartmann and M. Weigt, Phase Transitions in Combinatorial Optimization Problems: Basics, Algorithms and Statistical Mechanics · 2005
Later among the works it cites.
L. Correale, M. Leone, A. Pagnani, M. Weigt, and R. Zecchina, “The computational core and fixed point organization in boolean networks,” J. Stat. Mech.: Theory Exp
2006
Later among the works it cites.
Cambridge University Press, 2007
J. Kleinberg, Cascading Behavior in Networks: Algorithmic and Economic Issues · 2007
Later among the works it cites.
F. Krzakala, A. Montanari, F. Ricc-Tersenghi, G. Semerjian, and L. Zdeborova, “Gibbs states and the set of solutions of random constraint satisfaction problems,” Proc. Natl. Acad. Sci
2007
Later among the works it cites.
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I. P. Castillo, B. Wemmenhove, J. P. L. Hatchett, A. C. C. Coolen, N. S. Skantzos, and T. Nikoletopoulos, “Analytic solution of attractor neural networks on scale-free graphs,” J. Phys. A: Math. Gen
2004
Cited alongside, same era.
I. P. Castillo and N. S. Skantzos, “The little-hopfield model on a random graph,” J Phys A
2004
Cited alongside, same era.
Oxford University Press, USA, 2005
A. C. C. Coolen, The Mathematical Theory of Minority Games: Statistical Mechanics of Interacting Agents · 2005
Cited alongside, same era.
J. P. L. Hatchett, I. P. Castillo, A. C. C. Coolen, and N. S. Skantzos, “Dynamical replica analysis of disordered ising spin systems on finitely connected random graph,” Phys. Rev. Lett
2005
Cited alongside, same era.
K. Mimura and A. C. C. Coolen, “Parallel dynamics of disordered ising spin systems on finitely connected random graphs with arbitrary degree distributions.” in preparation
Cited in the paper.
A. Mozeika and A. C. C. Coolen, “Dynamical replica analysis of processes on finitely connected random graphs i: vertex covering,” J. Phys. A: Math. Theor
Cited in the paper.
J. M. Borwein, D. M. Bradley, and R. E. Crandall, “Computational strategies for the riemann zeta function,” J. Comput. Appl. Math
Cited in the paper.
T. Rogers, I. P. Castillo, R. Kühn, and K. Takeda, “Cavity approach to the spectral density of sparse symmetric random matrices,” Phys. Rev. E
2008
Later among the works it cites.
M. Bayati, C. Borgs, A. Braunstein, J. Chayes, A. Ramezanpour, and R. Zecchina, “Statistical mechanics of steiner trees,” Phys. Rev. Lett
2008
Later among the works it cites.
M. Kiemes and H. Horner, “Dynamics of an ising spin glass on the bethe lattice,” J. Phys. A: Math. Gen
2008
Later among the works it cites.
K. Mimura and A. C. C. Coolen, “Generating functional analysi of ldgm channel coding with many short loops.” to be published in Proceedings of the 2009 IEEE International Symposium on Information Theory (ISIT2009, Seoul, Korea), 509-513
2009
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