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  1. The asymptotic shape theorem for generalized first passage ...

    We generalize the asymptotic shape theorem in first passage percolation on ℤd
    to cover the case of general semimetrics. We prove a structure theorem for ...
    projecteuclid.org/euclid.aop/1268143529 - Similar

  2. A shape theorem for Riemannian first-passage percolation | J. Math ...

    Riemannian first-passage percolation is a continuum model, with a distance
    function arising from a random Riemannian metric in d. Our main result is a
    shape ...
    jmp.aip.org/resource/1/jmapaq/v51/i5/p053502_s1 - Cached - Similar

  3. The asymptotic shape theorem for generalized first passage ...

    22 Jan 2009 ... Abstract: We generalize the asymptotic shape theorem in first passage
    percolation on $\mathbb{Z}^d$ to cover the case of general semimetrics.
    arxiv.org/abs/0901.3449 - Cached - Similar

  4. A Shape Theorem for Riemannian First-Passage Percolation

    13 Jul 2009 ... Abstract: Riemannian first-passage percolation (FPP) is a continuum model, with
    a distance function arising from a random Riemannian metric ...
    arxiv.org/abs/0907.2228 - Cached - Similar

  5. The asymptotic shape theorem for generalized first passage - arXiv

    FIRST PASSAGE PERCOLATION. By Michael Björklund. Royal Institute of
    Technology. We generalize the asymptotic shape theorem in first passage per- ...
    arxiv.org/pdf/0901.3449 - Cached - Similar

  6. Multitype Shape Theorems for First Passage Percolation Models

    Keywords: First passage percolation; competing growth; multitype shape theorem
    ; competition interface. 2000 Mathematics Subject Classification: Primary ...
    www.jstor.org/stable/20443500 - Similar

  7. STRICT CONVEXITY OF THE LIMIT SHAPE IN FIRST-PASSAGE ...

    Keywords: Shape theorem, first-passage percolation, oriented percolation.
    Abstract. Sufficient conditions are given for the strict convexity of the limit shape in ...
    ecp.ejpecp.org/article/download/1089/1379 - Cached - Similar

  8. Non-polygonal limit shapes in i.i.d. first-passage percolation

    16 Jan 2011 ... Definitions. Shape theorem and main questions. Main theorem. Definitions. We
    consider first-passage percolation on the square lattice Z2.
    www.math.princeton.edu/~mdamron/talks/1_17_11_abu_dhabi.pdf - Cached - Similar

  9. The asymptotic shape theorem for generalized first passage ...

    (2009) Björklund. Annals of Probability. We generalize the asymptotic shape
    theorem in first passage percolation on mathbbZ d to cover the case of general ...
    www.mendeley.com/.../the-asymptotic-shape-theorem-for-generalized-first- passage-percolation/ - Cached - Similar

  10. Asymptotics and dynamics in first-passage and continuum percolation

    stable. Finally, a third generalization of the Shape Theorem shows that the above
    conclusions also hold for first-passage percolation on certain cone-like ...
    gupea.ub.gu.se/bitstream/2077/26666/1/gupea_2077_26666_1.pdf - Similar