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  • Coarse Geometry and Randomness

    École d’Été de Probabilités de Saint-Flour XLI – 2011

    Series series Mathematics and Statistics (R0)
    These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before moving on to examine the manifestation of the underlying geometry in the behavior of random processes, mostly percolation and random walk.The study of the geometry of infinite vertex transitive graphs, and of Cayley graphs in particular, is ... Read more

    $44.99 USD

  • Computational Complexity and Property Testing

    On the Interplay Between Randomness and Computation

    Series series Computer Science (R0)
    This volume contains a collection of studies in the areas of complexity theory and property testing. The 21 pieces of scientific work included were conducted at different times, mostly during the last decade. Although most of these works have been cited in the literature, none of them was formally published before.Within complexity theory the topics include constant-depth Boolean circuits, ... Read more

    $80.09 USD