The asymmetric one-dimensional constrained Ising model: rigorous results, J. Statist. Phys, vol.107, pp.5-6, 2002. ,
Bootstrap Percolation on Infinite Trees and Non-Amenable Groups, Combinatorics, Probability and Computing, vol.15, issue.05, pp.715-730, 2006. ,
DOI : 10.1017/S0963548306007619
Kinetically constrained spin models, Probability Theory and Related Fields, pp.3-4, 2008. ,
Facilitated Oriented Spin Models: Some??Non??Equilibrium Results, Journal of Statistical Physics, vol.126, issue.4???5, pp.1109-1123, 2010. ,
DOI : 10.1007/s10955-010-9923-x
URL : https://hal.archives-ouvertes.fr/hal-00333798
Bootstrap percolation on a Bethe lattice, Journal of Physics C: Solid State Physics, vol.12, issue.1, pp.31-37, 1979. ,
DOI : 10.1088/0022-3719/12/1/008
Mixing Time of Critical Ising Model on Trees is Polynomial in the Height, Communications in Mathematical Physics, vol.14, issue.1, pp.161-207, 2010. ,
DOI : 10.1007/s00220-004-1147-y
Broadcasting on trees and the Ising model, The Annals of Applied Probability, vol.10, issue.2, pp.410-433, 2000. ,
DOI : 10.1214/aoap/1019487349
URL : http://stat-www.berkeley.edu/~peres/mine/broad.ps
Aging Through Hierarchical Coalescence in the East Model, Communications in Mathematical Physics, vol.68, issue.4, pp.459-495, 2012. ,
DOI : 10.1103/PhysRevE.68.031504
URL : https://hal.archives-ouvertes.fr/hal-00705999
The East model: recent results and new progresses, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00960411
Dynamical heterogeneities and kinetically constrained models, Dynamical heterogeneities in glasses, colloids and granular media and jamming transitions, pp.341-369, 2011. ,
-core (bootstrap) percolation on complex networks: Critical phenomena and nonlocal effects, Physical Review E, vol.1, issue.5, p.56101, 2006. ,
DOI : 10.1214/aoap/1177004612
URL : http://arxiv.org/pdf/cond-mat/0602611
A hierarchically constrained kinetic Ising model, Zeitschrift f???r Physik B Condensed Matter, vol.1, issue.1, pp.115-124, 1991. ,
DOI : 10.1007/BF01453764
Ergodicity and mixing properties of the northeast model, Journal of Applied Probability, vol.43, issue.03, pp.782-792, 2006. ,
DOI : 10.1017/S0305004100077288
Interacting particle systems, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of, Mathematical Sciences], vol.276, 1985. ,
Kinetically constrained spin models on trees, 2012, Annals of Applied Probability ,
DOI : 10.1214/12-aap891
URL : http://doi.org/10.1214/12-aap891
Glassy dynamics of kinetically constrained models, Advances in Physics, vol.46, issue.4, pp.219-342, 2003. ,
DOI : 10.1063/1.1318774
Lectures on finite Markov chains, Lectures on probability theory and statistics (Saint- Flour, pp.301-413, 1996. ,
Facilitated spin models on Bethe lattice: Bootstrap percolation, mode-coupling transition and glassy dynamics, Europhysics Letters (EPL), vol.69, issue.4, pp.496-512, 2005. ,
DOI : 10.1209/epl/i2004-10372-5
URL : http://arxiv.org/pdf/cond-mat/0409393
AQUILA, 1-67100 L'AQUILA, ITALY E-mail address: martin@mat.uniroma3.it DIP, -mail address: Cristina.Toninelli@lpt.ens.fr LABORATOIRE DE PROBABILITÉS ET MOD`MOD`ELES AL`AL`EATOIRES CNRS-UMR 7599 UNIVERSITÉS PARIS VI-VII 4, PLACE JUSSIEU F-75252 PARIS CEDEX 05 FRANCE ,