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Doctoral thesis
Open access
English

Low dimensional defects in percolation model

Defense date2018-04-13
Abstract

We improve the Smirnov's proof of Cardy's formula for percolation on the hexagonal lattice. Then we show that the boundary trace (lamination) of the scaling limit is compatible with gluing along the boundary.

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Keywords
  • Percolation
  • Cardy's formula
  • Lamination
  • Holomorphic observables
Funding
  • Swiss National Science Foundation - SWISSMAP
Citation (ISO format)
KHRISTOFOROV, Mikhail. Low dimensional defects in percolation model. 2018. doi: 10.13097/archive-ouverte/unige:111513
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