{"id":"https://openalex.org/W2052824377","doi":"https://doi.org/10.1142/s0218196712500567","title":"FROM SELF-SIMILAR STRUCTURES TO SELF-SIMILAR GROUPS","display_name":"FROM SELF-SIMILAR STRUCTURES TO SELF-SIMILAR GROUPS","publication_year":2012,"publication_date":"2012-06-27","ids":{"openalex":"https://openalex.org/W2052824377","doi":"https://doi.org/10.1142/s0218196712500567","mag":"2052824377"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196712500567","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712500567","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002744345","display_name":"Daniel J. Kelleher","orcid":null},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"DANIEL J. KELLEHER","raw_affiliation_strings":["Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA","Department of Mathematics , University of Connecticut , Storrs , CT , 06269 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA","institution_ids":["https://openalex.org/I140172145"]},{"raw_affiliation_string":"Department of Mathematics , University of Connecticut , Storrs , CT , 06269 , USA","institution_ids":["https://openalex.org/I140172145"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041589498","display_name":"Benjamin Steinhurst","orcid":null},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"BENJAMIN A. STEINHURST","raw_affiliation_strings":["Department of Mathematics, Cornell University, Ithaca, NY 14853, USA","Department of Mathematics, Cornell University,#N#Ithaca, NY 14853, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cornell University, Ithaca, NY 14853, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Department of Mathematics, Cornell University,#N#Ithaca, NY 14853, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063264335","display_name":"C.\u2010M. Michael Wong","orcid":"https://orcid.org/0000-0001-7979-316X"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"CHUEN-MING M. WONG","raw_affiliation_strings":["Department of Mathematics, Columbia University, New York, NY 10027, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Columbia University, New York, NY 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002744345"],"corresponding_institution_ids":["https://openalex.org/I140172145"],"apc_list":null,"apc_paid":null,"fwci":0.8382,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.71303043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"22","issue":"07","first_page":"1250056","last_page":"1250056"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8742256164550781},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.7066330909729004},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6448665857315063},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.6227521896362305},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42899900674819946},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41905277967453003},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1889064610004425},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.048846691846847534},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04581189155578613}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8742256164550781},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.7066330909729004},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6448665857315063},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.6227521896362305},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42899900674819946},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41905277967453003},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1889064610004425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.048846691846847534},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04581189155578613},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196712500567","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712500567","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1545078593","https://openalex.org/W1605592966","https://openalex.org/W1648991697","https://openalex.org/W1806203384","https://openalex.org/W1975376412","https://openalex.org/W1994543570","https://openalex.org/W2000877412","https://openalex.org/W2003004532","https://openalex.org/W2039180369","https://openalex.org/W2053751591","https://openalex.org/W2074225920","https://openalex.org/W2138549733","https://openalex.org/W2148609756","https://openalex.org/W3101965669","https://openalex.org/W4210972086","https://openalex.org/W4235570091","https://openalex.org/W4236432187","https://openalex.org/W4240769441","https://openalex.org/W4246752051"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856","https://openalex.org/W2572370460"],"abstract_inverted_index":{"We":[0,15,45],"explore":[1],"the":[2,5,17,34,59,76],"relationship":[3],"between":[4],"limit":[6,26,60],"spaces":[7],"of":[8,62,75],"contracting":[9,21,64,77],"self-similar":[10,13,30,39,55,65],"groups":[11],"and":[12,32,49],"structures.":[14],"give":[16,47,72],"condition":[18,35],"on":[19],"a":[20,29,53,63,73],"group":[22],"such":[23,36],"that":[24,37],"its":[25],"space":[27,61],"admits":[28],"structure,":[31],"also":[33],"this":[38],"structure":[40,56],"is":[41],"post-critically":[42],"finite":[43],"(p.c.f.).":[44],"then":[46],"necessary":[48],"sufficient":[50],"conditions":[51,69],"for":[52],"p.c.f.":[54],"to":[57],"be":[58],"group.":[66,78],"When":[67],"these":[68],"hold":[70],"we":[71,80],"construction":[74],"Finally,":[79],"illustrate":[81],"our":[82],"results":[83],"with":[84],"several":[85],"examples.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}