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Conformal invariance of random currents: a stability result
- Publication Year :
- 2023
- Publisher :
- arXiv, 2023.
-
Abstract
- We show the convergence of the single sourceless critical random current to a limit identifiable with the nested CLE(3). Our approach is based on viewing the random current as a perturbation of the Ising interface, which is known to converge to CLE(3). Instead of focusing solely on the random current, we provide a general framework for the stability of scaling limits under the perturbation by superimposing an independent Bernoulli percolation.<br />Comment: 40 pages, 7 figures
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....671c8e8a14234b01f999e031a258934c
- Full Text :
- https://doi.org/10.48550/arxiv.2306.10625