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The phase transitions of the planar random-cluster and Potts models with $$q \ge 1$$ are sharp

Crossref DOI link: https://doi.org/10.1007/s00440-015-0621-0

Published Online: 2015-03-03

Published Print: 2016-04

Update policy: https://doi.org/10.1007/springer_crossmark_policy

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