Hence, we have that K = 4A? = 8?L 2 , and this completes the proof of the first equality in (3.24). The proof of the second equality in (3.24) can be achieved using very similar arguments Metastability and low lying spectra in reversible Markov chains, checkerboard configuration R ??1, pp.219-255, 2002. ,
Metastability for the Ising model with a parallel dynamics, Journal of Statistical Physics, vol.110, issue.1/2, pp.183-217, 2003. ,
DOI : 10.1023/A:1021070712382
Metastability for Reversible Probabilistic Cellular Automata with??Self-Interaction, Journal of Statistical Physics, vol.21, issue.3, pp.431-471, 2008. ,
DOI : 10.1007/s10955-008-9563-6
Competitive nucleation in reversible probabilistic cellular automata, Physical Review E, vol.78, issue.4, p.40601, 2008. ,
DOI : 10.1103/PhysRevE.78.040601
URL : http://arxiv.org/abs/0907.0630
COMPETITIVE NUCLEATION IN METASTABLE SYSTEMS, Applied and Industrial Mathematics in Italy III, 2010. ,
DOI : 10.1142/9789814280303_0019
Sum of exit times in series of metastable states ,
URL : https://hal.archives-ouvertes.fr/hal-01435037
Statistical Mechanics of Probabilistic Cellular Automata, Physical Review Letters, vol.55, issue.23, pp.2527-2530, 1985. ,
DOI : 10.1103/PhysRevLett.55.2527
Theory of cellular automata: A survey, Theoretical Computer Science, vol.334, issue.1-3, pp.3-33, 2005. ,
DOI : 10.1016/j.tcs.2004.11.021
Metastability of the Two-Dimensional Blume???Capel Model with Zero Chemical Potential and Small Magnetic Field, Journal of Statistical Physics, vol.123, issue.2 ,
DOI : 10.1007/s10955-016-1550-8
Statistical mechanics of probabilistic cellular automata, Journal of Statistical Physics, vol.46, issue.1-2, pp.117-170, 1990. ,
DOI : 10.1007/BF01015566
Effective Parallelism Rate by Reversible PCA Dynamics, Cellular Automata: 11th International Conference on Cellular Automata for Research and Industry, ACRI 2014, Proceedings, 2014. ,
DOI : 10.1007/978-3-319-11520-7_61
URL : https://hal.archives-ouvertes.fr/hal-01283843
On the Essential Features of Metastability: Tunnelling Time and Critical Configurations, Journal of Statistical Physics, vol.115, issue.1/2, pp.591-642, 2004. ,
DOI : 10.1023/B:JOSS.0000019822.45867.ec
Around probabilistic cellular automata, Theoretical Computer Science, vol.559, pp.42-72, 2014. ,
DOI : 10.1016/j.tcs.2014.09.009
URL : https://hal.archives-ouvertes.fr/hal-01194762
Sharp Asymptotics for Stochastic Dynamics with Parallel Updating Rule, Journal of Statistical Physics, vol.84, issue.4, pp.701-718, 2012. ,
DOI : 10.1007/s10955-011-0413-6
URL : http://dspace.library.uu.nl:8080/handle/1874/272471
Markov chains with exponentially small transition probabilities: First exit problem from a general domain. I. The reversible case, Journal of Statistical Physics, vol.73, issue.3-4, pp.613-647, 1995. ,
DOI : 10.1007/BF02184873
Large deviations and metastability, 2004. ,
DOI : 10.1017/CBO9780511543272
Sirakoulis Cellular Automata: 10th International Conference on Cellular Automata for Research and Industry, Lecture Notes in Computer Science, 2012. ,