{"id":"https://openalex.org/W7225227229","doi":"https://doi.org/10.6084/m9.figshare.34912875","title":"Uniform Physical Exponential Tilts","display_name":"Uniform Physical Exponential Tilts","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225227229","doi":"https://doi.org/10.6084/m9.figshare.34912875"},"language":"en","primary_location":{"id":"doi:10.6084/m9.figshare.34912875","doi":"https://doi.org/10.6084/m9.figshare.34912875","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34912875","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.6084/m9.figshare.34912875","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160435434","display_name":"Hae Gyu Kim","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hae Gyu Kim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160435434"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":1.0,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","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"}},{"id":"https://openalex.org/T13234","display_name":"p-Adic Analysis and Mathematical Physics","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":[],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7910000085830688},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.6534000039100647},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5828999876976013},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.5568000078201294},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5430999994277954},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5252000093460083},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4950000047683716},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.4595000147819519},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.4587000012397766},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.44670000672340393},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44369998574256897},{"id":"https://openalex.org/C7605037","wikidata":"https://www.wikidata.org/wiki/Q327164","display_name":"Geometric probability","level":2,"score":0.40209999680519104},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3977999985218048},{"id":"https://openalex.org/C19448537","wikidata":"https://www.wikidata.org/wiki/Q33540","display_name":"Limit of a function","level":3,"score":0.3224000036716461},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.31520000100135803},{"id":"https://openalex.org/C114852677","wikidata":"https://www.wikidata.org/wiki/Q899044","display_name":"Fock space","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C102224218","wikidata":"https://www.wikidata.org/wiki/Q25344559","display_name":"Exponential map (Riemannian geometry)","level":5,"score":0.301800012588501},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3003999888896942},{"id":"https://openalex.org/C55974624","wikidata":"https://www.wikidata.org/wiki/Q1188504","display_name":"Exponential family","level":2,"score":0.2775000035762787},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.2750999927520752},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.263700008392334},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.25940001010894775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25850000977516174},{"id":"https://openalex.org/C74261601","wikidata":"https://www.wikidata.org/wiki/Q40112","display_name":"Ellipse","level":2,"score":0.25540000200271606},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2547000050544739},{"id":"https://openalex.org/C185767445","wikidata":"https://www.wikidata.org/wiki/Q207952","display_name":"Law of large numbers","level":3,"score":0.25110000371932983},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.25099998712539673}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.6084/m9.figshare.34912875","doi":"https://doi.org/10.6084/m9.figshare.34912875","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34912875","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.6084/m9.figshare.34912875.v1","doi":"https://doi.org/10.6084/m9.figshare.34912875.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34912875.v1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.6084/m9.figshare.34912875.v2","doi":"https://doi.org/10.6084/m9.figshare.34912875.v2","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34912875.v2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.6084/m9.figshare.34912875","doi":"https://doi.org/10.6084/m9.figshare.34912875","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34912875","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"preprint":[1],"studies":[2],"geometric":[3,70,144],"failures":[4],"in":[5,37,135,150,171],"period-doubling":[6],"H\u00e9non-like":[7,159],"maps":[8],"under":[9],"exponential":[10,121],"weighting":[11],"by":[12],"canonical":[13],"source":[14,46],"generation.":[15],"For":[16],"two":[17],"specified":[18],"scaled":[19],"stable":[20],"families,":[21],"it":[22],"establishes":[23],"uniform":[24,97],"asymptotics":[25],"for":[26,62,131,157],"the":[27,63,81,92,102,106,112,136,143,172],"weighted":[28],"physical":[29,98],"failure":[30,40],"mass":[31],"and":[32,44,53,87,146,182],"a":[33,58,68],"joint":[34],"limit":[35,126],"law":[36],"which":[38],"normalized":[39],"size,":[41],"observation":[42,113],"offset,":[43],"standardized":[45],"generation":[47,76],"converge":[48],"to":[49],"independent":[50],"Pareto,":[51],"uniform,":[52],"Gaussian":[54],"factors.The":[55],"proof":[56],"combines":[57],"compact-real-parameter":[59],"renewal":[60],"theorem":[61,127],"exact":[64],"finite-word":[65],"defect":[66],"with":[67,111,115],"source-preserving":[69],"transfer.":[71],"Consequences":[72],"include":[73],"convergence":[74],"of":[75,105,174],"moments,":[77],"mixed":[78],"moments":[79],"below":[80],"critical":[82],"size":[83],"exponent,":[84],"moderate":[85],"deviations,":[86],"local":[88],"large-deviation":[89],"exponents":[90],"on":[91,142],"exposed":[93],"mean":[94],"interval.":[95],"The":[96],"results":[99],"apply":[100],"when":[101],"negative":[103],"logarithm":[104],"average":[107],"Jacobian":[108],"grows":[109],"sublinearly":[110],"level,":[114],"vanishing":[116],"thresholds":[117],"above":[118],"an":[119],"admissible":[120],"floor.":[122],"A":[123],"separate":[124],"three-variable":[125],"is":[128],"also":[129],"established":[130],"each":[132],"fixed":[133],"map":[134],"broader":[137],"native":[138],"class.This":[139],"work":[140],"builds":[141],"framework":[145],"primitive":[147],"estimates":[148],"developed":[149],"Hae":[151],"Gyu":[152],"Kim,":[153],"Exact":[154],"Geometric-Failure":[155],"Tails":[156],"Period-Doubling":[158],"Maps:":[160],"https://doi.org/10.6084/m9.figshare.34895790.":[161],"---":[162],"Author's":[163],"Note:":[164],"Artificial":[165],"intelligence":[166],"(AI)":[167],"tools":[168],"were":[169],"utilized":[170],"course":[173],"this":[175],"research,":[176],"including":[177],"language":[178],"translation,":[179],"drafting":[180],"assistance,":[181],"code":[183],"verification.":[184],"(\uc774":[185],"\uc5f0\uad6c\ub294":[186],"\ubc88\uc5ed,":[187],"\uc6d0\uace0":[188],"\uac80\ud1a0":[189],"\ubc0f":[190],"\ucf54\ub4dc":[191],"\uac80\uc99d":[192],"\ub4f1\uc5d0":[193],"AI\ub97c":[194],"\ud65c\uc6a9\ud558\uc5ec":[195],"\uc218\ud589\ub418\uc5c8\uc2b5\ub2c8\ub2e4.)":[196]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-05T00:00:00"}