Notes on identical configurations in Abelian Sandpile Model with initial height
Maxim Arnold
TL;DR
This paper aims to organize and clarify existing knowledge about identical configurations in the Abelian Sandpile Model, focusing on their properties and behaviors.
Contribution
It provides a systematic overview of the properties of identical configurations in ASM, highlighting patterns and classifications.
Findings
Identical configurations exhibit specific structural patterns.
Systematic classification of configurations enhances understanding of ASM dynamics.
Clarifies the role of initial height in configuration equivalence.
Abstract
The aim of this note is to systematize our knowledge about identical configurations of ASM.
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Taxonomy
TopicsTheoretical and Computational Physics · Geological formations and processes · Soil and Unsaturated Flow