By Teijiro Isokawa, Katsunobu Imai, Nobuyuki Matsui, Ferdinand Peper, Hiroshi Umeo
This booklet constitutes revised chosen papers from the twentieth overseas Workshop on mobile Automata and Discrete advanced platforms, AUTOMATA 2014, held in Himeji, Japan, in July 2014.
The 10 ordinary papers integrated during this quantity have been rigorously reviewed and chosen from a complete of 25 submissions. It additionally includes one invited speak in complete paper size.
Read Online or Download Cellular Automata and Discrete Complex Systems: 20th International Workshop, AUTOMATA 2014, Himeji, Japan, July 7-9, 2014, Revised Selected Papers PDF
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Additional info for Cellular Automata and Discrete Complex Systems: 20th International Workshop, AUTOMATA 2014, Himeji, Japan, July 7-9, 2014, Revised Selected Papers
Formenti et al. References 1. : Self-organized criticality: an explanation of the 1/f noise. Phys. Rev. Lett. 59, 381–384 (1987) 2. : Computational complexity of avalanches in the kadanoﬀ sandpile model. Fundam. Inform. 115(1), 107–124 (2012) 3. : On computing ﬁxed points for generalized sand piles. Int. J. on Unconventional Comput. 2(1), 13–25 (2005) 4. : Advances in symmetric sandpiles. Fundam. Inform. 76(1–2), 91–112 (2007) 5. : Fixed point forms of the parallel symmetric sandpile model. Theor.
This means that the cell on the top-right of the considered cell changes to a positive state. We have shown that if a cell in the situation illustrated by part (a) of Fig. 2 changes its state to 0, then at least one of the cells from the column right of the considered cell changes from state 0 to a non-quiescent state. This means that as new non-quiescent states appear towards the left, previous non-quiescent states cannot be properly removed: in order to remove all non-quiescent states from a given column, it is necessary to create new ones on the column at its right, so as the non-quiescent states move towards the left, new ones appear towards the right.
Section 6 draws our conclusions and give some perspectives. 2 Kadanoﬀ Sandpile Model We present the deﬁnition of the model in dimension one. A configuration is a decreasing sequence of integers h = ω h1 , h2 , . . , hω n , where hi is the number of p < stacked grains (height) on column i, and such that all the heights on the left of h1 equal h1 , and on the right of hn equal hn . Note that all the conﬁgurations we consider are finite. According to a ﬁxed parameter Fig. 1. Transition rule p, the transition rule is the following: if the diﬀerence with parameter p = 3.