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The stochastic partial differential equation proposed nearly three decades ago by Kardar, Parisi and Zhang (KPZ) continues to inspire, intrigue and confound its many admirers.
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Derrida, B., Appert, C.: Universal large deviation function of the KPZ equation in one dimension. J. Stat. Phys. 94
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Marinari, E., Pagnani, A., Parisi, G.: Critical exponents of the KPZ equation via multi-surface coding numerical simulations. J. Phys. A 33
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Takeuchi, K. A., Sano, M., Sasamoto, T., Spohn, H.: Growing interfaces uncover universal fluctuations behind scale invariance. Sci. Rep. (Nature) 1
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Alves, S. G., Oliveira, T. J., Ferreira, S. C.: Universal fluctuations in radial growth models belonging to the KPZ universality class. Europhys. Lett. 96
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Rambeau, J., Bustingorry, S., Kolton, A. B., Schehr, G.: MRH of elastic interfaces in random media, Phys. Rev. E 84
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Kelling, J., Ódor, G.: Extremely large-scale simulation of a Kardar-Parisi-Zhang model using graphics cards. Phys. Rev. E 84
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Perlsman, E., Schwartz, M.: UCD of the KPZ equation. Phys. Rev. E 85
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Corwin, I.: The KPZ equation and universality class. Random Matrices: Theory Appl. 1
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Calabrese, P., Le Doussal, P.: Exact solution for the Kardar-Parisi-Zhang equation with flat initial conditions. Phys. Rev. Lett. 106
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Gueudré, T., Le Doussal, P.: Directed polymer near a hard wall and KPZ equation in the half-space. EPL 100
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Imamura, T., Sasamoto, T.: Exact solution for the stationary Kardar-Parisi-Zhang equation. Phys. Rev. Lett. 108
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Takeuchi, K. A., Sano, M.: Evidence for geometry-dependent universal fluctuations of KPZ interfaces in liquid-crystal turbulence. J. Stat. Phys. 147
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Kloss, T., Canet, L., Wschebor, N.: Nonperturbative renormalization group for the stationary Kardar-Parisi-Zhang equation: Scaling functions and amplitude ratios in 1+1, 2+1, and 3+1 dimensions. Phys. Rev. E 86
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Pagnani, A., Parisi, G.: Multisurface coding simulations of the RSOS model in four dimensions. Phys. Rev. E 87
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Takeuchi, K. A.: Crossover from growing to stationary interfaces in the Kardar-Parisi-Zhang class. Phys. Rev. Lett. 110
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Halpin-Healy, T.: Extremal paths, the stochastic heat equation, and the 3d KPZ universality class. Phys. Rev. E 88
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Oliveira, T. J., Alves, S. G., Ferreira, S. C.: Kardar-Parisi-Zhang universality class in (2+1) dimensions: Universal geometry-dependent distributions and finite-time corrections. Phys. Rev. E 87
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Alves, S. G., Oliveira, T. J., Ferreira, S. C.: Non-universal parameters, corrections and universality in Kardar-Parisi-Zhang growth. JSTAT 2013
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Alves, S. G., Oliveira, T. J., Ferreira, S. C.: Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and its upper critical dimension. Phys. Rev. E 90
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Halpin-Healy, T., Lin, Y.: Universal aspects of curved, flat and stationary-state KPZ statistics. Phys. Rev. E 89
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Barkema, G. T., Ferrari, P. L., Lebowitz, J. L., Spohn., H.: Kardar-Parisi-Zhang universality class and the anchored Toom interface. Phys. Rev. E 90
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Halpin-Healy, T., Palasantzas, G.: Universal correlators & distributions as experimental signatures of (2 + 1)-dimensional Kardar-Parisi-Zhang growth. EPL 105
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Calabrese, P., Kormos, M., Le Doussal, P.: From the sine-Gordon field theory to the Kardar-Parisi-Zhang growth equation. EPL 107
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Santalla, S. N., Rodriguez-Laguna, J., Cuerno, R.: The circular Kardar-Parisi-Zhang equation as an inflating, self-avoiding ring polymer. Phys. Rev. E 89
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Moore, M. A., Blum, T., Doherty, J. P., Marsili, M., Bouchaud, J.-P., Claudin, P.: Glassy solutions of the Kardar-Parisi-Zhang equation. Phys. Rev. Lett. 74,
2015
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Dean, D. S., Le Doussal, P., Majumdar, S. N., Schehr, G. Finite-temperature free fermions and the KPZ equation at finite time. Phys. Rev. Lett. 114
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Santalla, S. N., Rodriguez-Laguna, J., LaGatta, T., Cuerno, R.: Random geometry and the Kardar-Parisi-Zhang universality class. New J. Phys. 17
2015
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