{"paper":{"title":"New universality class in percolation on multifractal scale-free planar stochastic lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"M. K. Hassan, M. M. Rahman","submitted_at":"2015-04-24T04:24:13Z","abstract_excerpt":"We investigate site percolation on a weighted planar stochastic lattice (WPSL) which is a multifractal and whose dual is a scale-free network. Percolation is typically characterized by percolation threshold $p_c$ and by a set of critical exponents $\\beta$, $\\gamma$, $\\nu$ which describe the critical behavior of percolation probability $P(p)\\sim (p_c-p)^\\beta$, mean cluster size $S\\sim (p_c-p)^{-\\gamma}$ and the correlation length $\\xi\\sim (p_c-p)^{-\\nu}$. Besides, the exponent $\\tau$ characterizes the cluster size distribution function $n_s(p_c)\\sim s^{-\\tau}$ and the fractal dimension $d_f$ t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06389","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}