Corpus ID: 117772936

Wilmes' Conjecture and Boundary Divisors

@inproceedings{Mania2012WilmesCA,
  title={Wilmes' Conjecture and Boundary Divisors},
  author={Horia Mania},
  year={2012}
}
  • Horia Mania
  • Published 2012
  • Mathematics
  • This paper is concerned with Wilmes' conjecture regarding abelian sandpile models. We introduce the concept of boundary divisors and use this to prove the conjecture for the first Betti number. Further results suggest that this method could be used to tackle the general case of the problem. 

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    Citations

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    Another proof of Wilmes' conjecture

    • Sam Hopkins
    • Computer Science, Mathematics
    • Discret. Math.
    • 2013
    VIEW 2 EXCERPTS
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    Divisors on Graphs, Connected Flags, and Syzygies

    VIEW 4 EXCERPTS
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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 11 REFERENCES

    Self-organized critical state of sandpile automaton models.

    • Dhar
    • Physics, Medicine
    • Physical review letters
    • 1990
    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Self-organized critical state of sandpile automaton models.

    • Dhar
    • Physics, Medicine
    • Physical review letters
    • 1990

    Algebraic invariants of the sandpile model, Bachelor’s

    • John Wilmes
    • thesis, Reed College,
    • 2010
    VIEW 5 EXCERPTS
    HIGHLY INFLUENTIAL