{"id":"https://openalex.org/W2235449480","doi":"https://doi.org/10.1007/978-3-319-00933-9_12","title":"Mittag-Leffler Pattern in Anomalous Diffusion","display_name":"Mittag-Leffler Pattern in Anomalous Diffusion","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2235449480","doi":"https://doi.org/10.1007/978-3-319-00933-9_12","mag":"2235449480"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-00933-9_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-00933-9_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ruj.uj.edu.pl/xmlui/handle/item/11114","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079744597","display_name":"Bart\u0142omiej Dybiec","orcid":"https://orcid.org/0000-0002-6540-3906"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]},{"id":"https://openalex.org/I4210086947","display_name":"Institute of Physics","ror":"https://ror.org/000sfad56","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210086947","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Bart\u0142omiej Dybiec","raw_affiliation_strings":["Marian Smoluchowski Institute of Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. Reymonta 4, 30-059, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Marian Smoluchowski Institute of Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. Reymonta 4, 30-059, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210086947"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079744597"],"corresponding_institution_ids":["https://openalex.org/I126596746","https://openalex.org/I4210086947"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12804878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"141","last_page":"146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9934999942779541,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.992900013923645,"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/fractional-calculus","display_name":"Fractional calculus","score":0.7141985893249512},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"Anomalous diffusion","score":0.6961380839347839},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.6810691952705383},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5886510610580444},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5754582285881042},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5024747848510742},{"id":"https://openalex.org/keywords/fokker\u2013planck-equation","display_name":"Fokker\u2013Planck equation","score":0.4874013066291809},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.445261687040329},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.40312620997428894},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3339127004146576},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2963540852069855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28233373165130615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24809756875038147},{"id":"https://openalex.org/keywords/innovation-diffusion","display_name":"Innovation diffusion","score":0.12324365973472595},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11063149571418762},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06890121102333069},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.04527917504310608},{"id":"https://openalex.org/keywords/financial-economics","display_name":"Financial economics","score":0.04319724440574646}],"concepts":[{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.7141985893249512},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.6961380839347839},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.6810691952705383},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5886510610580444},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5754582285881042},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5024747848510742},{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.4874013066291809},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.445261687040329},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.40312620997428894},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3339127004146576},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2963540852069855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28233373165130615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24809756875038147},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.12324365973472595},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11063149571418762},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06890121102333069},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.04527917504310608},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.04319724440574646},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"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":2,"locations":[{"id":"doi:10.1007/978-3-319-00933-9_12","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-00933-9_12","pdf_url":null,"source":{"id":"https://openalex.org/S4210179954","display_name":"Lecture notes in electrical engineering","issn_l":"1876-1100","issn":["1876-1100","1876-1119"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Electrical Engineering","raw_type":"book-chapter"},{"id":"pmh:oai:ruj.uj.edu.pl:item/11114","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/11114","pdf_url":null,"source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:ruj.uj.edu.pl:item/11114","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/11114","pdf_url":null,"source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W579048987","https://openalex.org/W1541411714","https://openalex.org/W1966793822","https://openalex.org/W1967200406","https://openalex.org/W1967863839","https://openalex.org/W1977360274","https://openalex.org/W1984228768","https://openalex.org/W1989941945","https://openalex.org/W1993255928","https://openalex.org/W1998408104","https://openalex.org/W2000593856","https://openalex.org/W2001001171","https://openalex.org/W2018674686","https://openalex.org/W2025283300","https://openalex.org/W2030547991","https://openalex.org/W2031235378","https://openalex.org/W2032443585","https://openalex.org/W2035967427","https://openalex.org/W2040194422","https://openalex.org/W2043475968","https://openalex.org/W2044449143","https://openalex.org/W2053248030","https://openalex.org/W2060675827","https://openalex.org/W2066686577","https://openalex.org/W2091704019","https://openalex.org/W2094830203","https://openalex.org/W2111271983","https://openalex.org/W2169021824","https://openalex.org/W2787959293","https://openalex.org/W3101755297","https://openalex.org/W3104978828","https://openalex.org/W4231695981"],"related_works":["https://openalex.org/W2547468940","https://openalex.org/W2089892488","https://openalex.org/W2416906960","https://openalex.org/W2064740106","https://openalex.org/W2050580331","https://openalex.org/W2527137874","https://openalex.org/W2172012280","https://openalex.org/W2528667048","https://openalex.org/W1681106482","https://openalex.org/W3049300385"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T08:04:53.788161","created_date":"2025-10-10T00:00:00"}
