Simons- Workshop 2012-2013ay - Random Tilings

  1. Title:
    The Virasoro algebra and discrete Gaussian free field

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  2. Title:
    Random tilings of polygons by rhombi, and their Gaussian Free Field fluctuations

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  3. Title:
    From tilings to general-beta matrix ensembles: appearance of the Gaussian Free Field

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  4. Title:
    Connective constant for a weighted self-avoiding walk on a rhombi tiling

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  5. Title:
    Special polynomials related to elliptic lattice models and Painlevé VI

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  6. Title:
    Six vertex model: A counterexample in statistical mechanics

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  7. Title:
    Bethe vectors and solutions to the reflections q-KZ equation

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  8. Title:
    Tilings, Point sets, and Dynamical Systems

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  9. Title:
    Classification of patterns in the deterministic Abelian Sandpile Model

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  10. Title:
    Quantum Painleve Cubics

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  11. Title:
    Skew plane partitions with non-homogeneous weights

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  12. Title:
    Critical Temperature of Periodic Ising Models

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  13. Title:
    Discrete Orthogonal Polynomial Ensembles arising in Random Tiling Problems and the discrete Painleve equations

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  14. Title:
    Local statistics of the abelian sandpile model

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  16. Title:
    The 2-boundary Brauer mode

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  17. Title:
    Two boundary refinement of the Razumov-Stroganov correspondence

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  18. Title:
    Connectivity patterns in loop percolation and constant term identities

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  19. Title:
    Boxed plane partitions and Aztec diamond via Schur and Macdonald processes

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  20. Title:
    Asymptotics of symmetric functions with applications in statistical mechanics

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