{"id":"https://openalex.org/W1998153379","doi":"https://doi.org/10.1103/physreve.49.r956","title":"Fractal random walks from a variational formalism for Tsallis entropies","display_name":"Fractal random walks from a variational formalism for Tsallis entropies","publication_year":1994,"publication_date":"1994-02-01","ids":{"openalex":"https://openalex.org/W1998153379","doi":"https://doi.org/10.1103/physreve.49.r956","mag":"1998153379","pmid":"https://pubmed.ncbi.nlm.nih.gov/9961407"},"language":"en","primary_location":{"id":"doi:10.1103/physreve.49.r956","doi":"https://doi.org/10.1103/physreve.49.r956","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.49.r956","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref","pubmed"],"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/A5058550358","display_name":"Pablo A. Alemany","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I15881080","display_name":"Universidad Nacional de Cuyo","ror":"https://ror.org/05sn8wf81","country_code":"AR","type":"education","lineage":["https://openalex.org/I15881080"]},{"id":"https://openalex.org/I2802473995","display_name":"Balseiro Institute","ror":"https://ror.org/00sx0cd23","country_code":"AR","type":"education","lineage":["https://openalex.org/I2802473995","https://openalex.org/I9340077"]},{"id":"https://openalex.org/I2883434090","display_name":"Bariloche Atomic Centre","ror":"https://ror.org/05m802881","country_code":"AR","type":"facility","lineage":["https://openalex.org/I2883434090","https://openalex.org/I9340077"]},{"id":"https://openalex.org/I9340077","display_name":"Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica","ror":"https://ror.org/01xz39a70","country_code":"AR","type":"government","lineage":["https://openalex.org/I9340077"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"P. A. Alemany","raw_affiliation_strings":["Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u00edo Negro, Argentina","Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u0131\u0301a At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u0131\u0301o Negro, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u00edo Negro, Argentina","institution_ids":["https://openalex.org/I15881080","https://openalex.org/I2802473995","https://openalex.org/I2883434090","https://openalex.org/I9340077"]},{"raw_affiliation_string":"Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u0131\u0301a At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u0131\u0301o Negro, Argentina","institution_ids":["https://openalex.org/I15881080","https://openalex.org/I2802473995","https://openalex.org/I2883434090","https://openalex.org/I9340077"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030313952","display_name":"Dami\u00e1n H. Zanette","orcid":"https://orcid.org/0000-0003-0681-0592","observed_orcids":["https://orcid.org/0000-0003-0681-0592"]},"institutions":[{"id":"https://openalex.org/I15881080","display_name":"Universidad Nacional de Cuyo","ror":"https://ror.org/05sn8wf81","country_code":"AR","type":"education","lineage":["https://openalex.org/I15881080"]},{"id":"https://openalex.org/I2802473995","display_name":"Balseiro Institute","ror":"https://ror.org/00sx0cd23","country_code":"AR","type":"education","lineage":["https://openalex.org/I2802473995","https://openalex.org/I9340077"]},{"id":"https://openalex.org/I2883434090","display_name":"Bariloche Atomic Centre","ror":"https://ror.org/05m802881","country_code":"AR","type":"facility","lineage":["https://openalex.org/I2883434090","https://openalex.org/I9340077"]},{"id":"https://openalex.org/I9340077","display_name":"Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica","ror":"https://ror.org/01xz39a70","country_code":"AR","type":"government","lineage":["https://openalex.org/I9340077"]}],"countries":["AR"],"is_corresponding":false,"raw_author_name":"D. H. Zanette","raw_affiliation_strings":["Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u00edo Negro, Argentina","Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u0131\u0301a At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u0131\u0301o Negro, Argentina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u00eda At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u00edo Negro, Argentina","institution_ids":["https://openalex.org/I15881080","https://openalex.org/I2802473995","https://openalex.org/I2883434090","https://openalex.org/I9340077"]},{"raw_affiliation_string":"Centro At\u00f3mico Bariloche, Comisi\u00f3n Nacional de Energ\u0131\u0301a At\u00f3mica and Instituto Balseiro, Universidad Nacional de Cuyo, 8400 Bariloche, R\u0131\u0301o Negro, Argentina","institution_ids":["https://openalex.org/I15881080","https://openalex.org/I2802473995","https://openalex.org/I2883434090","https://openalex.org/I9340077"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":15.6947,"has_fulltext":false,"cited_by_count":214,"citation_normalized_percentile":{"value":0.99602525,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"49","issue":"2","first_page":"R956","last_page":"R958"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12261","display_name":"Statistical Mechanics and Entropy","score":1.0,"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"}},{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.0,"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":0.0,"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/tsallis-entropy","display_name":"Tsallis entropy","score":0.9760000109672546},{"id":"https://openalex.org/keywords/maximum-entropy-principle","display_name":"maximum entropy principle","score":0.7710000276565552},{"id":"https://openalex.org/keywords/generalized-entropy","display_name":"generalized entropy","score":0.8420000076293945},{"id":"https://openalex.org/keywords/generalized-statistical-mechanics","display_name":"generalized statistical mechanics","score":0.8220000267028809},{"id":"https://openalex.org/keywords/fractal-structure","display_name":"fractal structure","score":0.7570000290870667},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"constrained optimization","score":0.4169999957084656}],"concepts":[{"id":"https://openalex.org/C117521176","wikidata":"https://www.wikidata.org/wiki/Q7849341","display_name":"Tsallis entropy","level":3,"score":0.939021110534668},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.735191822052002},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7016451954841614},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6299555897712708},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.5418317317962646},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5060130953788757},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.46865788102149963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4485057592391968},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39556780457496643},{"id":"https://openalex.org/C2780056601","wikidata":"https://www.wikidata.org/wiki/Q7849339","display_name":"Tsallis statistics","level":2,"score":0.36329033970832825},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3456266224384308},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22466301918029785},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22386914491653442},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0837051272392273},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1103/physreve.49.r956","doi":"https://doi.org/10.1103/physreve.49.r956","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreve.49.r956","pdf_url":null,"source":{"id":"https://openalex.org/S4210224030","display_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","issn_l":"1063-651X","issn":["1063-651X","1095-3787","1538-4519"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review E","raw_type":"journal-article"},{"id":"pmid:9961407","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/9961407","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","raw_type":"Journal Article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W32606677","https://openalex.org/W1975259897","https://openalex.org/W1978995203","https://openalex.org/W1980265797","https://openalex.org/W1983874169","https://openalex.org/W1986091197","https://openalex.org/W2005619765","https://openalex.org/W2029244269","https://openalex.org/W2049301396","https://openalex.org/W2062517214","https://openalex.org/W2065980993","https://openalex.org/W2074468789","https://openalex.org/W2075324868","https://openalex.org/W2075545328","https://openalex.org/W2077574606","https://openalex.org/W2086214827","https://openalex.org/W2108583344","https://openalex.org/W4300545355"],"related_works":["https://openalex.org/W2047966829","https://openalex.org/W3211090398","https://openalex.org/W2032380676","https://openalex.org/W1965492850","https://openalex.org/W7062049192","https://openalex.org/W2281987738","https://openalex.org/W4385435104","https://openalex.org/W2253841303","https://openalex.org/W4367624308","https://openalex.org/W1998905690"],"abstract_inverted_index":{"It":[0],"is":[1,13],"shown":[2],"that":[3,47],"random":[4],"walks":[5],"in":[6],"which":[7],"the":[8,24,48,54],"set":[9],"of":[10],"visited":[11],"points":[12],"a":[14,18,58],"fractal":[15],"emerge":[16],"from":[17,53],"maximun":[19],"entropy":[20],"formalism":[21],"applied":[22],"to":[23],"generalized":[25,49],"entropies":[26,45],"introduced":[27],"by":[28],"Tsallis":[29,44],"[J.":[30],"Stat.":[31],"Phys.":[32],"52,":[33],"479":[34],"(1988)],":[35],"upon":[36],"suitable":[37],"constraints.":[38],"This":[39],"connection":[40],"between":[41],"fractals":[42],"and":[43],"suggests":[46],"statistical":[50],"mechanics":[51],"derived":[52],"latter":[55],"could":[56],"provide":[57],"natural":[59],"frame":[60],"for":[61],"studying":[62],"fractally":[63],"structured":[64],"systems.":[65]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}