{"id":"https://openalex.org/W1980386102","doi":"https://doi.org/10.1109/icassp.2007.366890","title":"Galton Watson Fractal Signals","display_name":"Galton Watson Fractal Signals","publication_year":2007,"publication_date":"2007-04-01","ids":{"openalex":"https://openalex.org/W1980386102","doi":"https://doi.org/10.1109/icassp.2007.366890","mag":"1980386102"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2007.366890","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2007.366890","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045543376","display_name":"Geoffrey Decrouez","orcid":null},"institutions":[{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"G. Decrouez","raw_affiliation_strings":["LIS/ENSIEG, Laboratoire des Images et des signaux, Saint Martin d'Heres, France","Lab. des Images et des signaux, LIS/ENSIEG, St. Martin d'Heres, France"],"affiliations":[{"raw_affiliation_string":"LIS/ENSIEG, Laboratoire des Images et des signaux, Saint Martin d'Heres, France","institution_ids":["https://openalex.org/I4210114274","https://openalex.org/I4210097418"]},{"raw_affiliation_string":"Lab. des Images et des signaux, LIS/ENSIEG, St. Martin d'Heres, France","institution_ids":["https://openalex.org/I4210114274","https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080919400","display_name":"P.O. Amblard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P-O. Amblard","raw_affiliation_strings":["LIS/ENSIEG, Laboratoire des Images et des signaux, Saint Martin d'Heres, France","Lab. des Images et des signaux, LIS/ENSIEG, St. Martin d'Heres, France"],"affiliations":[{"raw_affiliation_string":"LIS/ENSIEG, Laboratoire des Images et des signaux, Saint Martin d'Heres, France","institution_ids":["https://openalex.org/I4210114274","https://openalex.org/I4210097418"]},{"raw_affiliation_string":"Lab. des Images et des signaux, LIS/ENSIEG, St. Martin d'Heres, France","institution_ids":["https://openalex.org/I4210114274","https://openalex.org/I4210097418"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109950708","display_name":"J-M. Brossier","orcid":null},"institutions":[{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]},{"id":"https://openalex.org/I4210114274","display_name":"Laboratoire d\u2019Informatique et Syst\u00e8mes","ror":"https://ror.org/0257sgk90","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I143002897","https://openalex.org/I21491767","https://openalex.org/I4210114274"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J-M. Brossier","raw_affiliation_strings":["LIS/ENSIEG, Laboratoire des Images et des signaux, Saint Martin d'Heres, France","Lab. des Images et des signaux, LIS/ENSIEG, St. Martin d'Heres, France"],"affiliations":[{"raw_affiliation_string":"LIS/ENSIEG, Laboratoire des Images et des signaux, Saint Martin d'Heres, France","institution_ids":["https://openalex.org/I4210114274","https://openalex.org/I4210097418"]},{"raw_affiliation_string":"Lab. des Images et des signaux, LIS/ENSIEG, St. Martin d'Heres, France","institution_ids":["https://openalex.org/I4210114274","https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005479394","display_name":"Owen D. Jones","orcid":"https://orcid.org/0000-0002-9649-1005"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"O.D. Jones","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Melbourne, VIC, Australia","The University of Melbourne, Department of Mathematics and Statistics, Victoria 3010, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]},{"raw_affiliation_string":"The University of Melbourne, Department of Mathematics and Statistics, Victoria 3010, Australia","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045543376"],"corresponding_institution_ids":["https://openalex.org/I4210114274","https://openalex.org/I4210097418"],"apc_list":null,"apc_paid":null,"fwci":0.93487458,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64329599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"III","last_page":"1157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9987999796867371,"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":0.9987999796867371,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9710999727249146,"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/T10320","display_name":"Neural Networks and Applications","score":0.9710000157356262,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/iterated-function-system","display_name":"Iterated function system","score":0.8197985291481018},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.7838165760040283},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6549251079559326},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5310540199279785},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.47630345821380615},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.45710289478302},{"id":"https://openalex.org/keywords/random-tree","display_name":"Random tree","score":0.4456343650817871},{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.44190865755081177},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41987258195877075},{"id":"https://openalex.org/keywords/random-function","display_name":"Random function","score":0.4112420380115509},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3387264311313629},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24791043996810913},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.24761465191841125},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14004507660865784},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13338574767112732},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13134515285491943}],"concepts":[{"id":"https://openalex.org/C168460219","wikidata":"https://www.wikidata.org/wiki/Q1502167","display_name":"Iterated function system","level":3,"score":0.8197985291481018},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.7838165760040283},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6549251079559326},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5310540199279785},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.47630345821380615},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.45710289478302},{"id":"https://openalex.org/C2776839635","wikidata":"https://www.wikidata.org/wiki/Q14942679","display_name":"Random tree","level":4,"score":0.4456343650817871},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.44190865755081177},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41987258195877075},{"id":"https://openalex.org/C13929819","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Random function","level":3,"score":0.4112420380115509},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3387264311313629},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24791043996810913},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.24761465191841125},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14004507660865784},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13338574767112732},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13134515285491943},{"id":"https://openalex.org/C81074085","wikidata":"https://www.wikidata.org/wiki/Q366872","display_name":"Motion planning","level":3,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icassp.2007.366890","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2007.366890","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-00384636v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00384636","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ICASSP 2007 - IEEE International Conference on Acoustics, Speech and Signal Processing, Apr 2007, Honolulu, Hawaii, United States. pp.III-1157 - III-1160, ⟨10.1109/ICASSP.2007.366890⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W67284852","https://openalex.org/W71711181","https://openalex.org/W100657013","https://openalex.org/W1543153521","https://openalex.org/W1563111862","https://openalex.org/W1997287185","https://openalex.org/W2111041961","https://openalex.org/W2152888618","https://openalex.org/W2155669300","https://openalex.org/W2339378878","https://openalex.org/W2886947241","https://openalex.org/W4231110773","https://openalex.org/W4249775755","https://openalex.org/W6604050336"],"related_works":["https://openalex.org/W1561687547","https://openalex.org/W2369480152","https://openalex.org/W4287710035","https://openalex.org/W2368621955","https://openalex.org/W2972725323","https://openalex.org/W3158017144","https://openalex.org/W4383425433","https://openalex.org/W2017482687","https://openalex.org/W2068677575","https://openalex.org/W2002150947"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}