Abstract
The nature of the exercises given at the end of the respective chapters varies strongly. Some exercises are concerned with the extension of formulas and material, others deal with the investigation of models through computer simulations. For all exercises having analytic solutions these are given in this chapter in an hopefully easy to follow step-by-step presentation. Computer codes for exercises needing a programming effort are given only for selected cases. For tasks needing Internet searches typical results are discussed.
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Notes
- 1.
The reader interested in a rigorous mathematical proof may consult
Kesten, H. 1980 The critical probability of bond percolation on the square lattice equals 1/2. Communications in Mathematical Physics 74 41–59.
- 2.
This problem has been surveyed in detail by
Huang, S.-Y., Zou, X.-W., Tan, Z.-J., Jin, Z.-Z. 2003 Network-induced non-equilibrium phase transition in the “Game of Life”. Physical Review E 67, 026107.
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Gros, C. (2011). Solutions. In: Complex and Adaptive Dynamical Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04706-0_9
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DOI: https://doi.org/10.1007/978-3-642-04706-0_9
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