By Teijiro Isokawa, Katsunobu Imai, Nobuyuki Matsui, Ferdinand Peper, Hiroshi Umeo
This e-book constitutes revised chosen papers from the twentieth foreign Workshop on mobile Automata and Discrete complicated platforms, AUTOMATA 2014, held in Himeji, Japan, in July 2014.
The 10 average papers incorporated during this quantity have been conscientiously 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
Such a strategy is not unique, therefore we distinguish a particular one which we think is the simplest. Definition 1. The avalanche for s is the minimal avalanche strategy for s according to the lexicographic order, which means that at each step the leftmost column is fired. For example, let us consider p = 2 and the conﬁguration s = ω 0, 2, 2, 2, 2, 2, 0ω , then (0, 2, 4, 1, 3) is an avalanche strategy, but the avalanche for s is (0, 2, 1, 3, 4) and leads to the same ﬁnal conﬁguration thanks to the lattice structure of the model .
This work was partially supported by IXXI (Complex System Institute, Lyon), ANR projects Subtile, Dynamite and QuasiCool (ANR-12-JS02-01101), Modmad Federation of U. St-Etienne, the French National Research Agency project EMC (ANR-09-BLAN-0164), FONDECYT Grant 3140527, and N´ ucleo Milenio Informaci´ on y Coordinaci´ on en Redes (ACGO). 30 E. 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.
Inform. Process. Lett. fr Abstract. In this paper we prove that the general avalanche problem AP is in NC for the Kadanoﬀ sandpile model in one dimension, answering an open problem of . Thus adding one more item to the (slowly) growing list of dimension sensitive problems since in higher dimensions the problem is P-complete (for monotone sandpiles). Keywords: Sandpile models · Discrete dynamical systems tional complexity · Dimension sensitive problems 1 · Computa- Introduction This paper is about cubic sand grains moving around on nicely packed columns in one dimension (the physical sandpile is two dimensional, but the support of sand columns is one dimensional).