{"id":"https://openalex.org/W7208788793","doi":"https://doi.org/10.48550/arxiv.2609.03968","title":"A one-parameter family of local-time conditioned processes : the generalized Brownian burglars","display_name":"A one-parameter family of local-time conditioned processes : the generalized Brownian burglars","publication_year":2026,"publication_date":"2026-09-03","ids":{"openalex":"https://openalex.org/W7208788793","doi":"https://doi.org/10.48550/arxiv.2609.03968"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.03968","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03968","pdf_url":"https://arxiv.org/pdf/2609.03968","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/2609.03968","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041956211","display_name":"Arthur Dremaux","orcid":"https://orcid.org/0009-0007-3498-1280","observed_orcids":["https://orcid.org/0009-0007-3498-1280"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dremaux, Arthur","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5041956211"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9878000020980835,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9878000020980835,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.0052999998442828655,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.00279999990016222,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/brownian-loop-soup","display_name":"Brownian loop soup","score":0.8529999852180481},{"id":"https://openalex.org/keywords/gaussian-free-field","display_name":"Gaussian free field","score":0.7639999985694885},{"id":"https://openalex.org/keywords/locality","display_name":"locality","score":0.6710000038146973}],"concepts":[{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6743999719619751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6624000072479248},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5544000267982483},{"id":"https://openalex.org/C53920899","wikidata":"https://www.wikidata.org/wiki/Q4976524","display_name":"Brownian excursion","level":5,"score":0.521399974822998},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.5153999924659729},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.4629000127315521},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4593000113964081},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42980000376701355},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4235999882221222},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.42160001397132874},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4090999960899353},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.4072999954223633},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36500000953674316},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3562000095844269},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.3416000008583069},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3278999924659729},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3237999975681305},{"id":"https://openalex.org/C50755983","wikidata":"https://www.wikidata.org/wiki/Q1437483","display_name":"Brownian noise","level":3,"score":0.31630000472068787},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3098999857902527},{"id":"https://openalex.org/C93038891","wikidata":"https://www.wikidata.org/wiki/Q1061524","display_name":"Intensity (physics)","level":2,"score":0.30979999899864197},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.3077000081539154},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C78651780","wikidata":"https://www.wikidata.org/wiki/Q628309","display_name":"Brownian bridge","level":3,"score":0.2863999903202057},{"id":"https://openalex.org/C60391097","wikidata":"https://www.wikidata.org/wiki/Q1056809","display_name":"Wiener process","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C116779161","wikidata":"https://www.wikidata.org/wiki/Q7307228","display_name":"Reflected Brownian motion","level":5,"score":0.26649999618530273},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.25870001316070557}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.03968","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03968","pdf_url":"https://arxiv.org/pdf/2609.03968","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":"doi:10.48550/arxiv.2609.03968","doi":"https://doi.org/10.48550/arxiv.2609.03968","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.03968","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.03968","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.03968","pdf_url":"https://arxiv.org/pdf/2609.03968","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":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7208788793.pdf","grobid_xml":"https://content.openalex.org/works/W7208788793.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1616247331","https://openalex.org/W1012838349","https://openalex.org/W2005580950","https://openalex.org/W4213374570","https://openalex.org/W2084140702","https://openalex.org/W7099950014","https://openalex.org/W2072141164","https://openalex.org/W7221552362","https://openalex.org/W2066121307","https://openalex.org/W4381827104"],"abstract_inverted_index":{"We":[0],"construct":[1],"and":[2,42,57,73,79,116,142,153],"characterize":[3],"the":[4,14,24,36,50,54,70,82,93,101,106,113,151,160,164,168],"one-parameter":[5],"family":[6],"of":[7,16,20,76,95,112,126,147,150,170],"real-valued":[8],"processes":[9,34,65],"that":[10,108],"allow":[11],"to":[12,46,69,104,123,138],"recover":[13],"law":[15],"a":[17,89,124,156,171],"Brownian":[18,37,62,129],"loop-soup":[19],"any":[21],"intensity":[22,55,162],"on":[23,28,81,92],"real":[25],"line":[26,107],"conditionally":[27],"its":[29,117],"occupation":[30,119],"time":[31,166],"field.":[32],"These":[33,64],"generalize":[35],"burglar":[38,114],"constructed":[39],"by":[40,131],"Warren":[41],"Yor":[43],"(that":[44],"corresponds":[45],"our":[47],"process":[48],"in":[49,154],"limiting":[51],"case":[52],"where":[53,98,163],"vanishes":[56],"there":[58],"is":[59,167],"just":[60],"one":[61,99],"motion).":[63],"are":[66],"closely":[67],"related":[68],"Bass-Burdzy":[71],"flow":[72],"recent":[74],"work":[75],"A\u00efd\u00e9kon,":[77],"Hu":[78],"Shi":[80],"stochastic":[83],"Jacobi":[84],"flow.":[85],"Our":[86],"approach":[87],"uses":[88],"formalism,":[90],"building":[91],"notion":[94],"driver":[96],"processes,":[97],"considers":[100],"evolving":[102],"object":[103],"be":[105],"we":[109],"``stretch\",":[110],"instead":[111],"itself":[115],"remaining":[118],"time.":[120],"This":[121],"leads":[122],"characterization":[125],"these":[127],"(generalized)":[128],"burglars":[130],"simple":[132],"natural":[133],"axioms.":[134],"It":[135],"also":[136],"allows":[137],"treat":[139],"``negative":[140],"intensities''":[141],"provides":[143],"fairly":[144],"direct":[145],"derivations":[146],"several":[148],"properties":[149],"burglars,":[152],"particular":[155],"``target-independence/locality\"":[157],"property":[158],"at":[159],"special":[161],"local":[165],"square":[169],"Gaussian":[172],"Free":[173],"Field.":[174]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-05T00:00:00"}