N. Boccara, J. Nasser & M. Roger (1991):
Particlelike structures and their interactions in spatiotemporal patterns generated by one-dimensional deterministic cellular-automaton rules.
Phys. Rev. A 44(2),
pp. 866–875,
doi:10.1103/PhysRevA.44.866.
Kari Eloranta (1994):
The dynamics of defect ensembles in one-dimensional cellular automata.
Journal of Statistical Physics 76,
pp. 1377–1398,
doi:10.1007/BF02187067.
J.E. Hanson & J.P. Crutchfield (1997):
Computational mechanics of cellular automata: An example.
Physica D: Nonlinear Phenomena 103(1-4),
pp. 169–189,
doi:10.1016/S0167-2789(96)00259-X.
B. Hellouin de Menibus & M. Sablik (2011):
Self-organization in cellular automata: a particle-based approach.
In: Developments in Language Theory,
Lecture Notes in Computer Science 6795,
pp. 251–263.
Available at http://dx.doi.org/10.1007/978-3-642-22321-1_22.
P. Kůrka, E. Formenti & A. Dennunzio (2011):
Asymptotic distribution of entry times in a cellular automaton with annihilating particles.
Proceedings of AUTOMATA,
pp. 89–100.
P. Kůrka & A. Maass (2000):
Limit sets of cellular automata associated to probability measures.
Journal of Statistical Physics 100(5),
pp. 1031–1047,
doi:10.1023/A:1018706923831.
D.A. Lind & B. Marcus (1995):
An introduction to symbolic dynamics and coding.
Cambridge Univ Pr.
F. Merlévède & E. Rio (2012):
Strong approximations of partial sums under dependence conditions with applications to dynamical systems.
Stochastic Processes and their applications 122,
pp. 386–417.
P. Mörters & Y. Peres (2010):
Brownian motion. Cambridge Series in Statistical and Probabilistic Mathematics.
Cambridge University Press, Cambridge.
M. Pivato (2007):
Defect particle kinematics in one-dimensional cellular automata.
Theoretical Computer Science 377(1-3),
pp. 205–228,
doi:10.1016/j.tcs.2007.03.014.
Q.M. Shao & C. Lu (1987):
Strong approximations for partial sums of weakly dependent random variables..
Sci. Sin. Ser. A. 30(6),
pp. 575–587.
W.+.1667emA. Stein (2012):
Sage Mathematics Software (Version 4.2.1).
The Sage Development Team.
http://www.sagemath.org.