{"paper":{"title":"Asymptotics of the quantization errors for condensation measures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Mrinal Kanti Roychowdhury","submitted_at":"2016-10-24T16:53:34Z","abstract_excerpt":"Let $P:=\\frac 1 3 P\\circ S_1^{-1}+\\frac 13 P\\circ S_2^{-1}+\\frac 13\\nu$, where $S_1(x)=\\frac 15 x$, $S_2(x)=\\frac 1 5 x+\\frac 45$ for all $x\\in \\mathbb R$, and $\\nu$ be a Borel probability measure on $\\mathbb R$ with compact support. Such a measure $P$ is called a  condensation measure, or an an inhomogeneous self-similar measure, associated with the condensation system $(\\{S_1, S_2\\}, (\\frac 13, \\frac 13, \\frac 13), \\gn)$. In this paper, we have explicitly calculated optimal quantizers, quantization dimension, and the lower and upper quantization coefficients for an inhomogeneous self-similar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.07490","kind":"arxiv","version":5},"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"}