The random cluster model on the complete graph via large deviations

نویسندگان

چکیده

We study the emergence of giant component in random cluster model on complete graph, which was first studied by Bollobás et al. (1996). give an alternative analysis using a thermodynamic/large deviations approach introduced Biskup (2007) for case percolation. In particular, we compute rate function large size largest connected graph q≥1.

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2022

ISSN: ['1879-209X', '0304-4149']

DOI: https://doi.org/10.1016/j.spa.2022.08.007