{"id":"https://openalex.org/W7224136591","doi":"https://doi.org/10.5281/zenodo.23738285","title":"Scattering time advance under a complex growth bound: physical sharpness and optimal support cost","display_name":"Scattering time advance under a complex growth bound: physical sharpness and optimal support cost","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224136591","doi":"https://doi.org/10.5281/zenodo.23738285"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23738285","doi":"https://doi.org/10.5281/zenodo.23738285","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23738285","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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/10.5281/zenodo.23738285","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147127185","display_name":"Weiqi Jiang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210125404","display_name":"Institute of Theoretical Physics","ror":"https://ror.org/02xtbq882","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiang, Weiqi","raw_affiliation_strings":["Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5147127185"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210125404"],"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9901999831199646,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9901999831199646,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.008200000040233135,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.000699999975040555,"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/rays","display_name":"rays","score":0.7710000276565552},{"id":"https://openalex.org/keywords/jost-function","display_name":"Jost function","score":0.7929999828338623},{"id":"https://openalex.org/keywords/compactly-supported-potentials","display_name":"compactly supported potentials","score":0.628000020980835},{"id":"https://openalex.org/keywords/inverse-scattering","display_name":"inverse scattering","score":0.5609999895095825},{"id":"https://openalex.org/keywords/sharp-lower-bounds","display_name":"sharp lower bounds","score":0.5479999780654907},{"id":"https://openalex.org/keywords/tail-estimation","display_name":"tail estimates","score":0.42899999022483826}],"concepts":[{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.9311000108718872},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.754800021648407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6930000185966492},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4717999994754791},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4496000111103058},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.44020000100135803},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.4368000030517578},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.41440001130104065},{"id":"https://openalex.org/C140532419","wikidata":"https://www.wikidata.org/wiki/Q249748","display_name":"Spectral radius","level":3,"score":0.37220001220703125},{"id":"https://openalex.org/C146324458","wikidata":"https://www.wikidata.org/wiki/Q1202673","display_name":"Uniform norm","level":2,"score":0.36730000376701355},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.351500004529953},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33980000019073486},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3118000030517578},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.2915000021457672},{"id":"https://openalex.org/C3098717","wikidata":"https://www.wikidata.org/wiki/Q1144872","display_name":"Modulus of continuity","level":3,"score":0.2867000102996826},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.2797999978065491},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23738285","doi":"https://doi.org/10.5281/zenodo.23738285","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23738285","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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:10.5281/zenodo.23738286","doi":"https://doi.org/10.5281/zenodo.23738286","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23738286","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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:10.5281/zenodo.23738285","doi":"https://doi.org/10.5281/zenodo.23738285","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23738285","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2077253639","https://openalex.org/W2055806951","https://openalex.org/W128665723","https://openalex.org/W2024253430","https://openalex.org/W4385773616","https://openalex.org/W2084403660","https://openalex.org/W2030812965","https://openalex.org/W4255027522","https://openalex.org/W2079666668","https://openalex.org/W181074706"],"abstract_inverted_index":{"This":[0,173],"mathematical-physics":[1],"preprint":[2],"studies":[3],"scattering":[4,39],"phase":[5],"derivatives":[6],"for":[7,166],"real,":[8],"compactly":[9],"supported":[10],"L\u00b2":[11],"potentials":[12,79],"of":[13,56,77,90],"the":[14,19,28,62,88,91,126,154,162,167],"Dirichlet":[15],"Schr\u00f6dinger":[16],"operator":[17],"on":[18,52,125],"half-line":[20],"whose":[21],"Jost":[22],"functions":[23],"have":[24],"no":[25,122],"zeros":[26],"in":[27,170],"closed":[29],"upper":[30,54],"half-plane.":[31],"At":[32],"fixed":[33,86],"positive":[34],"momentum":[35],"k\u2080":[36,60],"and":[37,121,137,148,161],"prescribed":[38,83],"value":[40],"S(k\u2080)":[41],"=":[42],"S\u2080,":[43],"an":[44,53],"independently":[45,145],"imposed":[46],"modulus":[47],"bound":[48,65,124,136],"M":[49],">":[50],"1":[51],"semicircle":[55],"radius":[57],"\u03c1":[58],"<":[59],"gives":[61],"classical":[63],"lower":[64],"\u03b4\u2032(k\u2080)":[66],"\u2265":[67],"\u22122":[68],"log(M)/(\u03c0\u03c1).":[69],"The":[70,106,115,151],"manuscript":[71,155],"establishes":[72],"sharpness":[73],"within":[74,101],"this":[75,98],"class":[76],"local":[78],"while":[80],"preserving":[81],"both":[82],"constraints.":[84],"For":[85],"data,":[87],"infimum":[89,100,108],"essential":[92],"support":[93,117],"endpoints":[94],"required":[95],"to":[96],"approach":[97],"phase-slope":[99,107],"\u03b5":[102],"has":[103],"order":[104],"\u0398(\u03b5\u207b\u00b9).":[105],"is":[109,129,174],"not":[110],"attained":[111],"at":[112],"finite":[113,141],"support.":[114],"leading":[116],"coefficient":[118],"remains":[119],"undetermined,":[120],"common":[123],"potential":[127],"norm":[128],"imposed.":[130],"Appendices":[131],"derive":[132],"a":[133,175],"real-axis":[134],"Fourier-response":[135],"conditional":[138],"bounds":[139],"from":[140],"noisy":[142],"data":[143],"with":[144],"supplied":[146],"interpolation":[147],"tail":[149],"estimates.":[150],"files":[152],"contain":[153],"PDF,":[156],"its":[157],"single-file":[158],"LaTeX":[159],"source,":[160],"exact-arithmetic":[163],"verification":[164],"code":[165],"synthetic-data":[168],"example":[169],"Appendix":[171],"C.":[172],"preprint.":[176]},"counts_by_year":[],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2026-10-29T00:00:00"}
