{"id":"https://openalex.org/W2100974158","doi":"https://doi.org/10.1016/j.aml.2009.02.003","title":"Detecting and reconstructing centrally symmetric sets from the autocorrelation: Two discrete cases","display_name":"Detecting and reconstructing centrally symmetric sets from the autocorrelation: Two discrete cases","publication_year":2009,"publication_date":"2009-05-05","ids":{"openalex":"https://openalex.org/W2100974158","doi":"https://doi.org/10.1016/j.aml.2009.02.003","mag":"2100974158"},"language":"en","primary_location":{"id":"doi:10.1016/j.aml.2009.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2009.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","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/A5020875207","display_name":"Gennadiy Averkov","orcid":"https://orcid.org/0000-0003-2245-9958"},"institutions":[{"id":"https://openalex.org/I4210138551","display_name":"University Hospital Magdeburg","ror":"https://ror.org/03m04df46","country_code":"DE","type":"healthcare","lineage":["https://openalex.org/I4210138551"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Gennadiy Averkov","raw_affiliation_strings":["Faculty of Mathematics, University of Magdeburg, D-39106 Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Magdeburg, D-39106 Magdeburg, Germany","institution_ids":["https://openalex.org/I4210138551"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5020875207"],"corresponding_institution_ids":["https://openalex.org/I4210138551"],"apc_list":{"value":3540,"currency":"USD","value_usd":3540},"apc_paid":null,"fwci":0.3281,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60817847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"22","issue":"9","first_page":"1476","last_page":"1478"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9729999899864197,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9524000287055969,"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/mathematics","display_name":"Mathematics","score":0.8148903846740723},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6414502263069153},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.593201756477356},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.5916336178779602},{"id":"https://openalex.org/keywords/notice","display_name":"Notice","score":0.5769901275634766},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5264273881912231},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4726628065109253},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.47186964750289917},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32589757442474365},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16437071561813354},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12809935212135315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06387284398078918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8148903846740723},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6414502263069153},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.593201756477356},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.5916336178779602},{"id":"https://openalex.org/C2779913896","wikidata":"https://www.wikidata.org/wiki/Q7063001","display_name":"Notice","level":2,"score":0.5769901275634766},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5264273881912231},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4726628065109253},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47186964750289917},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32589757442474365},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16437071561813354},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12809935212135315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06387284398078918},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/j.aml.2009.02.003","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.aml.2009.02.003","pdf_url":null,"source":{"id":"https://openalex.org/S7571225","display_name":"Applied Mathematics Letters","issn_l":"0893-9659","issn":["0893-9659","1873-5452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.586.1753","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.586.1753","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://fma2.math.uni-magdeburg.de/~averkov/publications/central-sym-autocor.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W205143764","https://openalex.org/W627440691","https://openalex.org/W1532154335","https://openalex.org/W1590021773","https://openalex.org/W1593939129","https://openalex.org/W1922505179","https://openalex.org/W1934217394","https://openalex.org/W1993116342","https://openalex.org/W2026608956","https://openalex.org/W2057392618","https://openalex.org/W2065390928","https://openalex.org/W2090311670","https://openalex.org/W2121738047","https://openalex.org/W2164741953","https://openalex.org/W2330548796","https://openalex.org/W4230982142","https://openalex.org/W4242473853"],"related_works":["https://openalex.org/W3018282762","https://openalex.org/W2558055997","https://openalex.org/W2791183434","https://openalex.org/W2353369313","https://openalex.org/W2086339586","https://openalex.org/W4300782058","https://openalex.org/W2394387726","https://openalex.org/W2378724474","https://openalex.org/W4389146154","https://openalex.org/W1472269183"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
