{"id":"https://openalex.org/W9626118","doi":"https://doi.org/10.1007/978-1-4471-0551-0_9","title":"Multiscale Coarse-graining Invariant Sequences","display_name":"Multiscale Coarse-graining Invariant Sequences","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W9626118","doi":"https://doi.org/10.1007/978-1-4471-0551-0_9","mag":"9626118"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4471-0551-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-0551-0_9","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sequences and their Applications","raw_type":"book-chapter"},"type":"book-chapter","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/A5104362669","display_name":"Andr\u00e9 Barb\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Barb\u00e9","raw_affiliation_strings":["Department of Electrical Engineering, Division SISTA/COSIC, Katholieke Universiteit Leuven, Kardinaal Mercierlaan, 94, Leuven, B-3001, Belgium"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Division SISTA/COSIC, Katholieke Universiteit Leuven, Kardinaal Mercierlaan, 94, Leuven, B-3001, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5104362669"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00279441,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"146","last_page":"160"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9983000159263611,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/granularity","display_name":"Granularity","score":0.9039100408554077},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.770485520362854},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.7437167763710022},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5204365849494934},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5111475586891174},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.43640366196632385},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33945268392562866},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2686231732368469},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.13196790218353271},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.036477506160736084}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.9039100408554077},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.770485520362854},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.7437167763710022},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5204365849494934},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5111475586891174},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.43640366196632385},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33945268392562866},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2686231732368469},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.13196790218353271},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.036477506160736084}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-1-4471-0551-0_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4471-0551-0_9","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sequences and their Applications","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Zero hunger","score":0.6299999952316284,"id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W200769125","https://openalex.org/W1975659500","https://openalex.org/W1998952369","https://openalex.org/W2017514363","https://openalex.org/W2027298962","https://openalex.org/W2090203120","https://openalex.org/W2154758366","https://openalex.org/W2496842803","https://openalex.org/W2583175817","https://openalex.org/W2728647369"],"related_works":["https://openalex.org/W4308298797","https://openalex.org/W4244123534","https://openalex.org/W4255963200","https://openalex.org/W2360590989","https://openalex.org/W4255391830","https://openalex.org/W2369074270","https://openalex.org/W2408222820","https://openalex.org/W2253391970","https://openalex.org/W2015466415","https://openalex.org/W2953844587"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}