Many 2D critical lattice models are believed to have conformally invariant scaling limits. This belief allowed physicists to predict (unrigorously) many of their properties, including exact values of various dimensions and scaling exponents. We describe some of the recent progress in the mathematical understanding of these models, using critical percolation as an example.
|Title of host publication||XIVth International Congress on Mathematical Physics|
|Subtitle of host publication||Lisbon, 28 July - 2 August 2003|
|Publisher||World Scientific Publishing Co.|
|Number of pages||14|
|ISBN (Print)||981256201X, 9789812562012|
|Publication status||Published - 1 Jan 2006|