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Identity Characterization

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Deterministic Abelian Sandpile Models and Patterns

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Abstract

In this chapter we will present the derivation of an Explicit formula for the Identity configuration of the Abelian Sandpile Model in a particular directed lattice, the Pseudo-Manhattan lattice, that is known in literature also under the name of F-lattice [1]. This is the first explicit characterization of an Identity configuration for the ASM.

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Notes

  1. 1.

    The formula here present is different from the one presented in [2], this one is the correction.

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Authors and Affiliations

  1. LIP6 - (Université Paris 6) UPMC, Boîte courrier 169, 4 place Jussieu, Paris Cedex 05, 75252, France

    Guglielmo Paoletti

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  1. Guglielmo Paoletti
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Correspondence to Guglielmo Paoletti .

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Paoletti, G. (2014). Identity Characterization. In: Deterministic Abelian Sandpile Models and Patterns. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-01204-9_4

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