[1] S F Edwards, R B Oakeshot, Theory of powders, Physica 157D, 1091 (1989).

[2] E R Nowak, J B Knight, E Ben-Naim, H M Jaeger, S R Nagel, Density fluctuations in vibrated granular materials, Phys. Rev. E 57, 1971 (1998).

[3] E R Nowak, J B Knight, M L Povinelli, H M Jeager, S R Nagel, Reversibility and irreversibility in the packing of vibrated granular material, Powder Technol. 94, 79 (1997).

[4] Ph Ribiere, P Richard, P Philippe, D Bideau, R Delannay, On the existence of stationary states during granular compaction, Eur. Phys. J. E 22, 249 (2007).

[5] F Paillusson, D Frenkel, Probing ergodicity in granular matter, Phys. Rev. Lett. 109, 208001 (2012).

[6] S Plimpton, P Crozier, A Thompson, LAMMPS-large-scale atomic/molecular massively parallel simulator, Sandia National Laboratories (2007).

[7] L A Pugnaloni, I Sanchez, P A Gago, J Damas, I Zuriguel, D Maza, Towards a relevant set of state variables to describe static granular packings, Phys. Rev. E 82, 050301 (2010).

[8] S Ardanza-Trevijano, I Zuriguel, R Arevalo, D Maza, Topological analysis of tapped granular media using persistent homology, Phys. Rev. E 89, 052212 (2014).

[9] N V Brilliantov, F Spahn, J-M Hertzsch, T Poschel, Model for collisions in granular gases, Phys. Rev. E. 53, 5382 (1996).

[10] L E Silbert, D Ertacs, G S Grest, T C Halsey, D Levine, S Plimpton, Granular flow down an inclined plane: Bagnold scaling and rheology, Phys. Rev. E 64, 051302 (2001).

[11] L A Pugnaloni, J Damas, I Zuriguel, D Maza, Master curves for the stress tensor invariants in stationary states of static granular beds. Implications for the thermodynamic phase space, Papers in Physics 3, 030004 (2011).

[12] L A Pugnaloni, M Mizrahi, C M Carlevaro, F Vericat, Nonmonotonic reversible branch in four model granular beds subjected to vertical vibration, Phys. Rev. E. 78, 051305 (2008).

[13] C Rycroft, VORO++: A three-dimensional Voronoi cell library in C++, Chaos 19, 041111 (2009).

[14] P A Gago, L A Pugnaloni, D Maza, Relevance of system size to the steady-state properties of tapped granular systems, Phys. Rev. E 91, 032207 (2015).

[15] W Constantine, D Percival, Fractal: Fractal Time Series Modeling and Analysis, R package version 2.0-0, http://CRAN.R-project.org/package=fractal (2014).

[16] R Core Team, R: A language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria (2013).

[17] W H Kruskal, W A Wallis, Use of ranks in one-criterion variance analysis, J. Am. Stat. Assoc. 47, 583 (1952).

[18] Ch Josserand, A V Tkachenko, D M Mueth, H M Jaeger, Memory effects in granular material, Phys. Rev. Lett. 85, 3632 (2000).

[19] R M Irastorza, C M Carlevaro, L A Pugnaloni, Exact predictions from the Edwards ensemble versus realistic simulations of tapped narrow two-dimensional granular columns, J. Stat. Mech. P12012 (2013).

[20] G Lebon, D Jou, JC Casas-Vazquez, Understanding Non-equilibrium Thermodinamics, Springer-Verlag, Berlin Heidelberg (2008).