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The rotor-router shape is spherical

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Abstract

This column is a place for those bits of contagious mathematics that travel from person to person in the community, because they are so elegant, suprising, or appealing that one has an urge to pass them on. Contributions are most welcome.

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References

  1. M. Aizenman and B. Simon, Brownian motion and Harnack inequality for Schrödinger operators,Comm. Pure Appl. Math. 35 (1982), no. 2, 209–273.

    Article  MATH  MathSciNet  Google Scholar 

  2. H. J. Brascamp, E. H. Lieb, and J. M. Luttinger, A general rearrangement inequality for multiple integrals,J. Functional Analysis 17 (1994), 227–237.

    Article  MathSciNet  Google Scholar 

  3. P. Diaconis and W. Fulton, A growth model, a game, an algebra, Lagrange inversion, and characteristic classes,Rend. Sem. Mat. Univ. Pol. Torino 49 (1991), 95–119.

    MATH  MathSciNet  Google Scholar 

  4. M. Kleber, Goldbug variations,Math. Intelligencer 27 (2005), no. 1, 55–63.

    Article  MATH  MathSciNet  Google Scholar 

  5. G. F. Lawler, M. Bramson, and D. Griffeath, Internal diffusion limited aggregation,Ann. Probab.20 (1992), 2117–2140.

    Article  MATH  MathSciNet  Google Scholar 

  6. L. Levine and Y. Peres, Spherical asymptotics for the rotor-router model in , Zd http://www.arxiv.org/abs/math.PR/0503251.

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Authors and Affiliations

  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Lionel Levine & Yuval Peres

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  1. Lionel Levine
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  2. Yuval Peres
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Correspondence to Lionel Levine.

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Levine, L., Peres, Y. The rotor-router shape is spherical. The Mathematical Intelligencer 27, 9–11 (2005). https://doi.org/10.1007/BF02985833

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  • DOI: https://doi.org/10.1007/BF02985833

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