{"id":"https://openalex.org/W4301035542","doi":"https://doi.org/10.1007/978-0-387-30440-3_218","title":"Fractal Geometry, A\u00a0Brief Introduction to","display_name":"Fractal Geometry, A\u00a0Brief Introduction to","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W4301035542","doi":"https://doi.org/10.1007/978-0-387-30440-3_218"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-30440-3_218","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_218","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5058486075","display_name":"Armin Bunde","orcid":null},"institutions":[{"id":"https://openalex.org/I4210148049","display_name":"Giessen School of Theology","ror":"https://ror.org/03kzgcv48","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210148049"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Armin Bunde","raw_affiliation_strings":["Institut f\u00fcr Theoretische Physik, Gie\u00dfen, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik, Gie\u00dfen, Germany","institution_ids":["https://openalex.org/I4210148049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110254834","display_name":"Shlomo Havlin","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Shlomo Havlin","raw_affiliation_strings":["Institute of Theoretical Physics, Bar-Ilan\u2010University, Ramat Gan, Israel"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, Bar-Ilan\u2010University, Ramat Gan, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058486075"],"corresponding_institution_ids":["https://openalex.org/I4210148049"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.63301934,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"3700","last_page":"3720"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9472000002861023,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.9434999823570251,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.7076582908630371},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.7053669691085815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3782038390636444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2943359911441803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14973509311676025}],"concepts":[{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7076582908630371},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.7053669691085815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3782038390636444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2943359911441803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14973509311676025}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-30440-3_218","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-30440-3_218","pdf_url":null,"source":{"id":"https://openalex.org/S4306509336","display_name":"Encyclopedia of Complexity and Systems Science","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Complexity and Systems Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W33980575","https://openalex.org/W74712529","https://openalex.org/W110263433","https://openalex.org/W225968618","https://openalex.org/W242143467","https://openalex.org/W1530342450","https://openalex.org/W1537214629","https://openalex.org/W1590730627","https://openalex.org/W1595138243","https://openalex.org/W1652087296","https://openalex.org/W1656129546","https://openalex.org/W1969212781","https://openalex.org/W1973353128","https://openalex.org/W1974352335","https://openalex.org/W1985997303","https://openalex.org/W1991323884","https://openalex.org/W1992252476","https://openalex.org/W1998999027","https://openalex.org/W2002286553","https://openalex.org/W2012116768","https://openalex.org/W2021745986","https://openalex.org/W2023583070","https://openalex.org/W2026187891","https://openalex.org/W2030984087","https://openalex.org/W2032046611","https://openalex.org/W2033473818","https://openalex.org/W2037292155","https://openalex.org/W2044586796","https://openalex.org/W2046858590","https://openalex.org/W2051347137","https://openalex.org/W2052835240","https://openalex.org/W2056544088","https://openalex.org/W2058293618","https://openalex.org/W2064515180","https://openalex.org/W2072599864","https://openalex.org/W2078003002","https://openalex.org/W2078824647","https://openalex.org/W2081053318","https://openalex.org/W2085798080","https://openalex.org/W2099529384","https://openalex.org/W2103484453","https://openalex.org/W2105818147","https://openalex.org/W2105981663","https://openalex.org/W2115778988","https://openalex.org/W2120481043","https://openalex.org/W2127873098","https://openalex.org/W2144872322","https://openalex.org/W2145996966","https://openalex.org/W2154376620","https://openalex.org/W2155346360","https://openalex.org/W2168711358","https://openalex.org/W2243878661","https://openalex.org/W2318698829","https://openalex.org/W2483584663","https://openalex.org/W2501502571","https://openalex.org/W2516702772","https://openalex.org/W3159223345","https://openalex.org/W3216137034","https://openalex.org/W4211196861","https://openalex.org/W4214495506","https://openalex.org/W4230181183","https://openalex.org/W4233497874","https://openalex.org/W4236167420","https://openalex.org/W4240689593","https://openalex.org/W4252929054","https://openalex.org/W4293765403","https://openalex.org/W4294698888","https://openalex.org/W4297974918","https://openalex.org/W4302344174"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2385925265","https://openalex.org/W2278269182","https://openalex.org/W4238350589","https://openalex.org/W2363636547","https://openalex.org/W2485578081","https://openalex.org/W2794824397","https://openalex.org/W2294667494","https://openalex.org/W4389147204"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}