See peanosphere in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "Peano", "3": "sphere" }, "expansion": "Peano + sphere", "name": "compound" } ], "etymology_text": "From Peano + sphere.", "forms": [ { "form": "peanospheres", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "peanosphere (plural peanospheres)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2015, Richard Kenyon, Jason Miller, Scott Sheffield, David B. Wilson, “Bipolar orientations on planar maps and SLE₁₂”, in arXiv:", "text": "We give bijections between bipolar-oriented (acyclic with unique source and sink) planar maps and certain random walks, which show that the uniformly random bipolar-oriented planar map, decorated by the \"peano curve\" surrounding the tree of left-most paths to the sink, converges in law with respect to the peanosphere topology to a #92;sqrt#123;4#47;3#125;-Liouville quantum gravity surface decorated by an independent Schramm-Loewner evolution with parameter #92;kappa#61;12 (i.e., SLE#95;#123;12#125;).", "type": "quote" } ], "glosses": [ "the scaling limit of random planar maps equipped with a collection of loops coming from a critical FK model." ], "id": "en-peanosphere-en-noun-QOUR4ZWf", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) the scaling limit of random planar maps equipped with a collection of loops coming from a critical FK model." ], "topics": [ "mathematics", "sciences" ] } ], "word": "peanosphere" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "Peano", "3": "sphere" }, "expansion": "Peano + sphere", "name": "compound" } ], "etymology_text": "From Peano + sphere.", "forms": [ { "form": "peanospheres", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "peanosphere (plural peanospheres)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English compound terms", "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English nouns", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "examples": [ { "ref": "2015, Richard Kenyon, Jason Miller, Scott Sheffield, David B. Wilson, “Bipolar orientations on planar maps and SLE₁₂”, in arXiv:", "text": "We give bijections between bipolar-oriented (acyclic with unique source and sink) planar maps and certain random walks, which show that the uniformly random bipolar-oriented planar map, decorated by the \"peano curve\" surrounding the tree of left-most paths to the sink, converges in law with respect to the peanosphere topology to a #92;sqrt#123;4#47;3#125;-Liouville quantum gravity surface decorated by an independent Schramm-Loewner evolution with parameter #92;kappa#61;12 (i.e., SLE#95;#123;12#125;).", "type": "quote" } ], "glosses": [ "the scaling limit of random planar maps equipped with a collection of loops coming from a critical FK model." ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) the scaling limit of random planar maps equipped with a collection of loops coming from a critical FK model." ], "topics": [ "mathematics", "sciences" ] } ], "word": "peanosphere" }
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-02 from the enwiktionary dump dated 2025-03-21 using wiktextract (db8a5a5 and fb63907). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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