{"id":"https://openalex.org/W1519782149","doi":"https://doi.org/10.48550/arxiv.cond-mat/9801038","title":"The Limited Scaling Range of Empirical Fractals","display_name":"The Limited Scaling Range of Empirical Fractals","publication_year":1998,"publication_date":"1998-01-07","ids":{"openalex":"https://openalex.org/W1519782149","doi":"https://doi.org/10.48550/arxiv.cond-mat/9801038","mag":"1519782149"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:cond-mat/9801038","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9801038","pdf_url":"https://arxiv.org/pdf/cond-mat/9801038","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cond-mat/9801038","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108087988","display_name":"David Avnir","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Avnir, David","raw_affiliation_strings":["the Hebrew University of Jerusalem, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"the Hebrew University of Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079919630","display_name":"Ofer Biham","orcid":"https://orcid.org/0000-0001-9251-812X","observed_orcids":["https://orcid.org/0000-0001-9251-812X"]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Biham, Ofer","raw_affiliation_strings":["the Hebrew University of Jerusalem, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"the Hebrew University of Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083283029","display_name":"Daniel A. Lidar","orcid":"https://orcid.org/0000-0002-1671-1515","observed_orcids":["https://orcid.org/0000-0002-1671-1515"]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Lidar, Daniel A.","raw_affiliation_strings":["the Hebrew University of Jerusalem, Israel","University of California, Berkeley, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"the Hebrew University of Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"University of California, Berkeley, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086363372","display_name":"Ofer Malcai","orcid":"https://orcid.org/0000-0002-3996-534X","observed_orcids":["https://orcid.org/0000-0002-3996-534X"]},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Malcai, Ofer","raw_affiliation_strings":["the Hebrew University of Jerusalem, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"the Hebrew University of Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":252,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.37450000643730164,"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":0.37450000643730164,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.23240000009536743,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.17440000176429749,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractality","display_name":"fractality","score":0.7149999737739563},{"id":"https://openalex.org/keywords/self-similarity","display_name":"self-similarity","score":0.7419999837875366},{"id":"https://openalex.org/keywords/scaling-behavior","display_name":"scaling behavior","score":0.33899998664855957},{"id":"https://openalex.org/keywords/fractal-dimension","display_name":"fractal dimension","score":0.4699999988079071}],"concepts":[{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.7103644609451294},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.686530590057373},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.6465323567390442},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5380837917327881},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25959572196006775},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24781587719917297},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.17774927616119385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09778884053230286},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06852558255195618},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.04774683713912964}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:arXiv.org:cond-mat/9801038","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9801038","pdf_url":"https://arxiv.org/pdf/cond-mat/9801038","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:1519782149","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9801038","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.306.61","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.306.61","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cond-mat/9801038v1.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.cond-mat/9801038","doi":"https://doi.org/10.48550/arxiv.cond-mat/9801038","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cond-mat/9801038","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cond-mat/9801038","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/9801038","pdf_url":"https://arxiv.org/pdf/cond-mat/9801038","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1970029904"],"related_works":["https://openalex.org/W1548439805","https://openalex.org/W1970029904","https://openalex.org/W6977773377","https://openalex.org/W7101106373","https://openalex.org/W2044666006","https://openalex.org/W7218158015","https://openalex.org/W1991365442","https://openalex.org/W2894599951","https://openalex.org/W6941367201","https://openalex.org/W2058563030"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,5,12],"the":[3,16],"abundance":[4],"fractals":[6],"is":[7],"critically":[8],"re-examined":[9],"in":[10,19],"light":[11],"surprising":[13],"data":[14],"regarding":[15],"scaling":[17],"range":[18],"empirical":[20],"reports":[21],"on":[22],"fractality.":[23]},"counts_by_year":[{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":23},{"year":2014,"cited_by_count":10},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":7}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}