Existence of phase transition for percolation using the Gaussian free field
Work
Year: 2020
Type: article
Abstract: In this paper, we prove that Bernoulli percolation on bounded degree graphs with isoperimetric dimension $d>4$ undergoes a non-trivial phase transition (in the sense that $p_c<1$). As a corollary, we ... more
Source: Duke Mathematical Journal
Institutions University of Geneva, Institut des Hautes Études Scientifiques, Ben-Gurion University of the Negev, Tata Institute of Fundamental Research
Cites: 46
Cited by: 28
Related to: 10
FWCI: 6.997
Citation percentile (by year/subfield): 99.98
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green