{"id":"https://openalex.org/W3035918866","doi":"https://doi.org/10.3390/e22060697","title":"Large Deviations for Continuous Time Random Walks","display_name":"Large Deviations for Continuous Time Random Walks","publication_year":2020,"publication_date":"2020-06-22","ids":{"openalex":"https://openalex.org/W3035918866","doi":"https://doi.org/10.3390/e22060697","mag":"3035918866","pmid":"https://pubmed.ncbi.nlm.nih.gov/33286470"},"language":"en","primary_location":{"id":"doi:10.3390/e22060697","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22060697","pdf_url":"https://www.mdpi.com/1099-4300/22/6/697/pdf?version=1592827023","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":["arxiv","crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/22/6/697/pdf?version=1592827023","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Wanli Wang","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":true,"raw_author_name":"Wanli Wang","raw_affiliation_strings":["Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel","Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Eli Barkai","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":"Eli Barkai","raw_affiliation_strings":["Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel","Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]},{"raw_affiliation_string":"Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"last","author":{"id":null,"display_name":"Stanislav Burov","orcid":"https://orcid.org/0000-0003-1065-174X"},"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":"Stanislav Burov","raw_affiliation_strings":["Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I13955877"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.9189,"has_fulltext":true,"cited_by_count":36,"citation_normalized_percentile":{"value":0.86462161,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"22","issue":"6","first_page":"697","last_page":"697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13187","display_name":"Diffusion and Search Dynamics","score":0.5374000072479248,"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":0.5374000072479248,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.11079999804496765,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.07769999653100967,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.843500018119812},{"id":"https://openalex.org/keywords/intermittency","display_name":"Intermittency","score":0.8097000122070312},{"id":"https://openalex.org/keywords/large-deviations-theory","display_name":"Large deviations theory","score":0.7653999924659729},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.697700023651123},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6137999892234802},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.598800003528595},{"id":"https://openalex.org/keywords/continuous-time-random-walk","display_name":"Continuous-time random walk","score":0.5820000171661377},{"id":"https://openalex.org/keywords/exponential-distribution","display_name":"Exponential distribution","score":0.5583000183105469},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.44760000705718994}],"concepts":[{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.843500018119812},{"id":"https://openalex.org/C2780388094","wikidata":"https://www.wikidata.org/wiki/Q1666248","display_name":"Intermittency","level":3,"score":0.8097000122070312},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.7653999924659729},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6991000175476074},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.697700023651123},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6137999892234802},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.598800003528595},{"id":"https://openalex.org/C2777451387","wikidata":"https://www.wikidata.org/wiki/Q18206182","display_name":"Continuous-time random walk","level":3,"score":0.5820000171661377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5730999708175659},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.5583000183105469},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.44760000705718994},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.4431000053882599},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.4271000027656555},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.41909998655319214},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.414900004863739},{"id":"https://openalex.org/C15964574","wikidata":"https://www.wikidata.org/wiki/Q7295534","display_name":"Rate function","level":3,"score":0.39399999380111694},{"id":"https://openalex.org/C105045736","wikidata":"https://www.wikidata.org/wiki/Q7292002","display_name":"Random walker algorithm","level":3,"score":0.3675000071525574},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.3366999924182892},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.3192000091075897},{"id":"https://openalex.org/C154072304","wikidata":"https://www.wikidata.org/wiki/Q5747218","display_name":"Heterogeneous random walk in one dimension","level":3,"score":0.30309998989105225},{"id":"https://openalex.org/C2776825372","wikidata":"https://www.wikidata.org/wiki/Q3922411","display_name":"Jump process","level":3,"score":0.29100000858306885},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.28600001335144043},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2705000042915344},{"id":"https://openalex.org/C186659197","wikidata":"https://www.wikidata.org/wiki/Q5452195","display_name":"First-hitting-time model","level":2,"score":0.2572000026702881},{"id":"https://openalex.org/C97831314","wikidata":"https://www.wikidata.org/wiki/Q6667307","display_name":"Logarithmic growth","level":2,"score":0.2538999915122986},{"id":"https://openalex.org/C2777317252","wikidata":"https://www.wikidata.org/wiki/Q18393516","display_name":"Rare events","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e22060697","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22060697","pdf_url":"https://www.mdpi.com/1099-4300/22/6/697/pdf?version=1592827023","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:33286470","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33286470","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:arXiv.org:2005.13174","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2005.13174","pdf_url":"https://arxiv.org/pdf/2005.13174","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"pmh:oai:doaj.org/article:cb40b2f6cc0c459f9d25bd3bef0e5882","is_oa":true,"landing_page_url":"https://doaj.org/article/cb40b2f6cc0c459f9d25bd3bef0e5882","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 22, Iss 6, p 697 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/22/6/697/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e22060697","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7517236","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7517236","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/e22060697","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e22060697","pdf_url":"https://www.mdpi.com/1099-4300/22/6/697/pdf?version=1592827023","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321449","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495"},{"id":"https://openalex.org/F4320335375","display_name":"Planning and Budgeting Committee of the Council for Higher Education of Israel","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3035918866.pdf","grobid_xml":"https://content.openalex.org/works/W3035918866.grobid-xml"},"referenced_works_count":64,"referenced_works":["https://openalex.org/W1506984144","https://openalex.org/W1544213665","https://openalex.org/W1968771657","https://openalex.org/W1972633005","https://openalex.org/W1974178725","https://openalex.org/W1989941945","https://openalex.org/W2007857396","https://openalex.org/W2009048856","https://openalex.org/W2016366582","https://openalex.org/W2025829026","https://openalex.org/W2027437004","https://openalex.org/W2032016998","https://openalex.org/W2045350842","https://openalex.org/W2049361783","https://openalex.org/W2052112956","https://openalex.org/W2059281081","https://openalex.org/W2060096869","https://openalex.org/W2061181744","https://openalex.org/W2062517214","https://openalex.org/W2068493779","https://openalex.org/W2070470697","https://openalex.org/W2083897947","https://openalex.org/W2087184281","https://openalex.org/W2111271983","https://openalex.org/W2116949338","https://openalex.org/W2117319970","https://openalex.org/W2130706915","https://openalex.org/W2145204138","https://openalex.org/W2146930907","https://openalex.org/W2153207559","https://openalex.org/W2264626278","https://openalex.org/W2307399619","https://openalex.org/W2316435579","https://openalex.org/W2324214766","https://openalex.org/W2328064570","https://openalex.org/W2468012639","https://openalex.org/W2500381110","https://openalex.org/W2504592056","https://openalex.org/W2560743925","https://openalex.org/W2571743918","https://openalex.org/W2589302289","https://openalex.org/W2615027234","https://openalex.org/W2782655709","https://openalex.org/W2791785392","https://openalex.org/W2796319987","https://openalex.org/W2803961030","https://openalex.org/W2843203545","https://openalex.org/W2911555252","https://openalex.org/W2914623914","https://openalex.org/W2950063770","https://openalex.org/W2950761293","https://openalex.org/W2963673680","https://openalex.org/W2971574805","https://openalex.org/W2972363369","https://openalex.org/W2975667033","https://openalex.org/W2993343894","https://openalex.org/W2999247927","https://openalex.org/W3006027780","https://openalex.org/W3010234980","https://openalex.org/W3012089690","https://openalex.org/W3013462464","https://openalex.org/W6698711712","https://openalex.org/W6729881479","https://openalex.org/W6762889784"],"related_works":[],"abstract_inverted_index":{"Recently":[0],"observation":[1],"of":[2,19,30,50,81,93,111,127],"random":[3,41,131],"walks":[4],"in":[5],"complex":[6],"environments":[7],"like":[8,69],"the":[9,17,31,36,46,51,57,79,82,91,115,128,136],"cell":[10],"and":[11,44,77,119],"other":[12],"glassy":[13],"systems":[14],"revealed":[15],"that":[16,56,78],"spreading":[18,92],"particles,":[20],"at":[21,99],"its":[22],"tails,":[23],"follows":[24,95],"a":[25,103],"spatial":[26],"exponential":[27,97],"decay":[28,98],"instead":[29],"canonical":[32],"Gaussian.":[33],"We":[34,123],"use":[35],"widely":[37],"applicable":[38],"continuous":[39,129],"time":[40,130],"walk":[42,132],"model":[43,133],"obtain":[45],"large":[47,100,137],"deviation":[48,138],"description":[49],"propagator.":[52],"Under":[53],"mild":[54],"conditions":[55],"microscopic":[58],"jump":[59,73,112],"lengths":[60,74],"distribution":[61,80],"is":[62,85],"decaying":[63],"exponentially":[64],"or":[65],"faster":[66],"i.e.,":[67],"L\u00e9vy":[68],"power":[70],"law":[71],"distributed":[72],"are":[75],"excluded,":[76],"waiting":[83,89],"times":[84],"analytical":[86],"for":[87],"short":[88],"times,":[90],"particles":[94],"an":[96],"distances,":[101],"with":[102],"logarithmic":[104],"correction.":[105],"Here":[106],"we":[107],"show":[108],"how":[109],"anti-bunching":[110],"events":[113],"reduces":[114],"effect,":[116],"while":[117],"bunching":[118],"intermittency":[120],"enhances":[121],"it.":[122],"employ":[124],"exact":[125],"solutions":[126],"to":[134],"test":[135],"theory.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2020-06-25T00:00:00"}