{"id":"https://openalex.org/W7124304876","doi":"https://doi.org/10.3390/e28010104","title":"L\u00e9vy Diffusion Under Power-Law Stochastic Resetting","display_name":"L\u00e9vy Diffusion Under Power-Law Stochastic Resetting","publication_year":2026,"publication_date":"2026-01-15","ids":{"openalex":"https://openalex.org/W7124304876","doi":"https://doi.org/10.3390/e28010104","pmid":"https://pubmed.ncbi.nlm.nih.gov/41594011"},"language":"en","primary_location":{"id":"doi:10.3390/e28010104","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28010104","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/e28010104","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5123081818","display_name":"Jianli Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianli Liu","raw_affiliation_strings":["MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"],"affiliations":[{"raw_affiliation_string":"MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123101741","display_name":"Yunyun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunyun Li","raw_affiliation_strings":["MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"],"affiliations":[{"raw_affiliation_string":"MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5123142393","display_name":"Fabio Marchesoni","orcid":null},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]},{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN","IT"],"is_corresponding":true,"raw_author_name":"Fabio Marchesoni","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 di Camerino, I-62032 Camerino, Italy","MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Camerino, I-62032 Camerino, Italy","institution_ids":["https://openalex.org/I112859197"]},{"raw_affiliation_string":"MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5123142393"],"corresponding_institution_ids":["https://openalex.org/I112859197","https://openalex.org/I116953780"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10807893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"1","first_page":"104","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.00019999999494757503,"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/T13052","display_name":"Molecular Communication and Nanonetworks","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.8094000220298767},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.7896999716758728},{"id":"https://openalex.org/keywords/mean-squared-displacement","display_name":"Mean squared displacement","score":0.6862999796867371},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5604000091552734},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.492000013589859},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"Anomalous diffusion","score":0.48910000920295715},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.4846000075340271},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.4819999933242798},{"id":"https://openalex.org/keywords/scaling-law","display_name":"Scaling law","score":0.47450000047683716}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.8094000220298767},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7896999716758728},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7329999804496765},{"id":"https://openalex.org/C187128312","wikidata":"https://www.wikidata.org/wiki/Q1565055","display_name":"Mean squared displacement","level":3,"score":0.6862999796867371},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5604000091552734},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.492000013589859},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.48910000920295715},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.4846000075340271},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.4819999933242798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4771000146865845},{"id":"https://openalex.org/C2988430800","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Scaling law","level":3,"score":0.47450000047683716},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.4742000102996826},{"id":"https://openalex.org/C2780500908","wikidata":"https://www.wikidata.org/wiki/Q28405357","display_name":"Dynamic scaling","level":3,"score":0.4634999930858612},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44190001487731934},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.40619999170303345},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.3953999876976013},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.3919000029563904},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.3666999936103821},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.328000009059906},{"id":"https://openalex.org/C500300565","wikidata":"https://www.wikidata.org/wiki/Q925667","display_name":"Computer simulation","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.28600001335144043},{"id":"https://openalex.org/C164154869","wikidata":"https://www.wikidata.org/wiki/Q901927","display_name":"Critical exponent","level":3,"score":0.2827000021934509},{"id":"https://openalex.org/C110507122","wikidata":"https://www.wikidata.org/wiki/Q1356856","display_name":"Renewal theory","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2558000087738037},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.2524999976158142},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e28010104","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28010104","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:41594011","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41594011","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,"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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:259ad3b4f3cc49a8b5b944b7d69d9404","is_oa":true,"landing_page_url":"https://doaj.org/article/259ad3b4f3cc49a8b5b944b7d69d9404","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 28, Iss 1, p 104 (2026)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12839795","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12839795/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e28010104","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28010104","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6004822850227356}],"awards":[{"id":"https://openalex.org/G7651702916","display_name":null,"funder_award_id":"12350710786","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8201850142","display_name":null,"funder_award_id":"12375037","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1564175003","https://openalex.org/W1712132062","https://openalex.org/W1816275442","https://openalex.org/W1972309850","https://openalex.org/W1977079737","https://openalex.org/W1978956672","https://openalex.org/W1996326412","https://openalex.org/W2006860618","https://openalex.org/W2010059576","https://openalex.org/W2013012370","https://openalex.org/W2019558320","https://openalex.org/W2040248933","https://openalex.org/W2045345437","https://openalex.org/W2046660045","https://openalex.org/W2170486501","https://openalex.org/W2193821357","https://openalex.org/W2419165087","https://openalex.org/W2486387419","https://openalex.org/W2796319987","https://openalex.org/W2952675767","https://openalex.org/W2972804366","https://openalex.org/W2980928409","https://openalex.org/W2998299081","https://openalex.org/W3010241038","https://openalex.org/W3027718050","https://openalex.org/W4211023813","https://openalex.org/W4214716435","https://openalex.org/W4234429794","https://openalex.org/W4235351864","https://openalex.org/W4317894218","https://openalex.org/W4384700998","https://openalex.org/W4394999405","https://openalex.org/W4401524460","https://openalex.org/W4408191905","https://openalex.org/W4408406630"],"related_works":[],"abstract_inverted_index":{"We":[0],"investigated":[1],"the":[2,22],"diffusive":[3],"dynamics":[4],"of":[5],"a":[6,29,40,63],"L\u00e9vy":[7],"walk":[8],"subject":[9],"to":[10,39],"stochastic":[11],"resetting":[12,47],"through":[13],"combined":[14],"numerical":[15,90],"and":[16,69,101],"theoretical":[17],"approaches.":[18],"Under":[19],"exponential":[20],"resetting,":[21],"process":[23],"mean":[24],"squared":[25],"displacement":[26],"(MSD)":[27],"undergoes":[28],"sharp":[30],"transition":[31],"from":[32],"free":[33,56],"superdiffusive":[34,60],"behavior":[35],"with":[36,48,62,89],"exponent":[37,49,66],"\u03b30":[38],"steady-state":[41,74],"saturation":[42],"regime.":[43],"In":[44],"contrast,":[45],"power-law":[46],"\u03b2":[50],"exhibits":[51],"three":[52],"asymptotic":[53],"MSD":[54,78],"regimes:":[55],"superdiffusion":[57],"for":[58,67,76,97],"\u03b2<1,":[59],"scaling":[61,79],"linearly":[64],"\u03b2-decreasing":[65],"1<\u03b2<\u03b30+1,":[68],"localization":[70],"characterized":[71],"by":[72],"finite":[73],"plateaus":[75],"\u03b2>\u03b30+1.":[77],"laws":[80],"derived":[81],"via":[82],"renewal":[83],"theory-based":[84],"analysis":[85],"demonstrate":[86],"excellent":[87],"agreement":[88],"simulations.":[91],"These":[92],"findings":[93],"offer":[94],"new":[95],"insights":[96],"optimizing":[98],"search":[99],"strategies":[100],"controlling":[102],"transport":[103],"processes":[104],"in":[105],"non-equilibrium":[106],"environments.":[107]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2026-01-16T00:00:00"}
