{"id":"https://openalex.org/W4417516821","doi":"https://doi.org/10.1142/s0218196726500098","title":"Decision problem on interactions","display_name":"Decision problem on interactions","publication_year":2025,"publication_date":"2025-12-20","ids":{"openalex":"https://openalex.org/W4417516821","doi":"https://doi.org/10.1142/s0218196726500098"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196726500098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196726500098","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","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/A5114336247","display_name":"Hidetada Wachi","orcid":null},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hidetada Wachi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8522, Japan"],"raw_orcid":"https://orcid.org/0009-0004-2958-6866","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kouhoku-ku, Yokohama 223-8522, Japan","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5114336247"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":null,"apc_paid":null,"fwci":0.459,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67990439,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"36","issue":"03","first_page":"285","last_page":"298"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.20010000467300415,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11887","display_name":"Quasicrystal Structures and Properties","score":0.20010000467300415,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.19519999623298645,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.07559999823570251,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/preprint","display_name":"Preprint","score":0.7993999719619751},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6122000217437744},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5231999754905701},{"id":"https://openalex.org/keywords/sigma","display_name":"Sigma","score":0.512499988079071},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.49970000982284546},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4871000051498413},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.43230000138282776}],"concepts":[{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.7993999719619751},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7110000252723694},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6122000217437744},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5231999754905701},{"id":"https://openalex.org/C2778049214","wikidata":"https://www.wikidata.org/wiki/Q7512234","display_name":"Sigma","level":2,"score":0.512499988079071},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.49970000982284546},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4871000051498413},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.43230000138282776},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.364300012588501},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31929999589920044},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.302700012922287},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.29440000653266907},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2824000120162964},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.2802000045776367},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.25369998812675476}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196726500098","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196726500098","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W131346677","https://openalex.org/W1521283564","https://openalex.org/W1999430078","https://openalex.org/W2039116507","https://openalex.org/W2119636813","https://openalex.org/W2617802550","https://openalex.org/W4210679658","https://openalex.org/W4241475362","https://openalex.org/W4404727349"],"related_works":[],"abstract_inverted_index":{"An":[0],"interaction":[1,108],"is":[2,87,109,112],"a":[3],"certain":[4],"symmetric":[5],"graph":[6],"that":[7,103,106],"describes":[8],"the":[9,22,71,79,82,91,95,104],"possible":[10],"transition":[11],"of":[12,14,17,24,35,60,81],"states":[13],"adjacent":[15],"sites":[16],"large-scale":[18,36,67],"interacting":[19,37,68],"systems.":[20],"In":[21,98],"series":[23],"studies":[25],"[K.":[26,53],"Bannai,":[27],"Y.":[28],"Kametani":[29],"and":[30,42,55],"M.":[31,56],"Sasada,":[32,57],"Topological":[33],"structures":[34],"systems":[38,69],"via":[39,94],"uniform":[40],"functions":[41],"forms,":[43],"Forum":[44],"Math.":[45],"Sigma":[46],"12":[47],"(2024)":[48],"e107,":[49],"doi:":[50],"https://doi.org/10.1017/fms.2024.61":[51],"],":[52],"Bannai":[54],"Varadhan\u2019s":[58],"decomposition":[59],"shift-invariant":[61],"closed":[62],"[Formula:":[63],"see":[64],"text]-forms":[65],"for":[66,89],"on":[70],"euclidean":[72],"lattice,":[73],"preprint":[74],"(2021),":[75],"arXiv:2111.08934],":[76],"they":[77],"defined":[78],"notion":[80],"irreducibly":[83,110],"quantified":[84,111],"interactions":[85],"which":[86],"suitable":[88],"considering":[90],"hydrodynamic":[92],"limits":[93],"conserved":[96],"quantities.":[97],"this":[99],"paper,":[100],"we":[101],"prove":[102],"property":[105],"an":[107],"decidable.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-12-20T00:00:00"}