Non Uniform Cellular Automata Description of Signed Partition Versions of Ice and Sand Pile Models - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2014

Non Uniform Cellular Automata Description of Signed Partition Versions of Ice and Sand Pile Models

Résumé

This paper reviews the well-known formalisations for ice and sand piles, based on a finite sequence of non-negative integers and its recent extension to signed partitions, i.e. sequences of a non-negative and a non-positive part of integers, both non increasing. The ice pile model can be interpreted as a discrete time dynamical system under the action of a vertical and a horizontal evolution rule, whereas the sand pile model is characterized by the unique action of the vertical rule. The signed partition extension, besides these two dynamical evolution rules, also takes into account an annihilation rule at the boundary region between the non-negative and the non-positive regions. We provide an original physical interpretation of this model as a p-n junction of two semiconductors. Moreover, we show how the sand pile extension of the signed partition environment can be formalized by mean of a non-uniform cellular automaton (CA) since the vertical and the annihilation evolution rules have the formal description of two CA local rules. Finally, we provide a similar construction for the ice pile extension.
Fichier non déposé

Dates et versions

hal-01313318 , version 1 (09-05-2016)

Identifiants

Citer

Enrico Formenti, Alberto Dennunzio, Luca Manzoni, Gianpiero Cattaneo, Giampiero Chiaselotti. Non Uniform Cellular Automata Description of Signed Partition Versions of Ice and Sand Pile Models. ACRI 2014, Jarosław Wąs; Georgios Ch. Sirakoulis; Stefania Bandini, Sep 2014, Krakov, Poland. pp.115-124, ⟨10.1007/978-3-319-11520-7_13⟩. ⟨hal-01313318⟩
123 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More