An Arctic Circle Theorem For Groves

• Main Authors: Séries Formelles, Combinatoire Algébrique, T. Kyle Petersen, David Speyer
• Other Authors: The Pennsylvania State University CiteSeerX Archives
• Format: Text
• Language: English
• Subjects: Arctic; Carroll; Rendu; Arctique*
• Online Access: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.7437; http://www.pims.math.ca/science/2004/fpsac/papers/Petersen.pdf

Abstract. In earlier work, Jockusch, Propp, and Shor proved a theorem describing the limiting shape of the boundary between the uniformly tiled corners of a random tiling of an Aztec diamond and the more unpredictable ‘temperate zone ’ in the interior of the region. The so-called arctic circle theor...