{"id":"https://openalex.org/W1920029151","doi":"https://doi.org/10.1137/141000701","title":"Projection Process with Definable Right-Hand Side","display_name":"Projection Process with Definable Right-Hand Side","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W1920029151","doi":"https://doi.org/10.1137/141000701","mag":"1920029151"},"language":"en","primary_location":{"id":"doi:10.1137/141000701","is_oa":false,"landing_page_url":"https://doi.org/10.1137/141000701","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5066147560","display_name":"Mira Bivas","orcid":"https://orcid.org/0000-0002-2243-8199"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mira Bivas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5020808896","display_name":"\u041d\u0430\u0434\u0435\u0436\u0434\u0430 \u0420\u0438\u0431\u0430\u0440\u0441\u043a\u0430","orcid":"https://orcid.org/0000-0002-7480-9676"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nadezhda Ribarska","raw_affiliation_strings":["Sofia University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sofia University","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5154,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64284422,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"53","issue":"5","first_page":"2819","last_page":"2834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9886000156402588,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9886000156402588,"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"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9835000038146973,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9771999716758728,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8094974756240845},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.8048213720321655},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.7802073955535889},{"id":"https://openalex.org/keywords/cone","display_name":"Cone (formal languages)","score":0.6852793097496033},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.6070875525474548},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5001490116119385},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4692518711090088},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.40912121534347534},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4090707302093506},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34297308325767517},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.21734872460365295},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19207939505577087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12251034379005432}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8094974756240845},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.8048213720321655},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.7802073955535889},{"id":"https://openalex.org/C30014739","wikidata":"https://www.wikidata.org/wiki/Q5159445","display_name":"Cone (formal languages)","level":2,"score":0.6852793097496033},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.6070875525474548},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5001490116119385},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4692518711090088},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.40912121534347534},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4090707302093506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34297308325767517},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.21734872460365295},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19207939505577087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12251034379005432},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/141000701","is_oa":false,"landing_page_url":"https://doi.org/10.1137/141000701","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W26023427","https://openalex.org/W38333145","https://openalex.org/W1970735217","https://openalex.org/W2006718919","https://openalex.org/W2009054709","https://openalex.org/W2043900902","https://openalex.org/W2054090072","https://openalex.org/W2082522457","https://openalex.org/W2083840309","https://openalex.org/W2090366747","https://openalex.org/W2094162296","https://openalex.org/W2095881925","https://openalex.org/W2096391565","https://openalex.org/W2145703215","https://openalex.org/W2162052349","https://openalex.org/W3162519717"],"related_works":["https://openalex.org/W4234874385","https://openalex.org/W2371409811","https://openalex.org/W2323648130","https://openalex.org/W2157140558","https://openalex.org/W2378782423","https://openalex.org/W4233308809","https://openalex.org/W2956921597","https://openalex.org/W2388988621","https://openalex.org/W2378237973","https://openalex.org/W2353465789"],"abstract_inverted_index":{"We":[0,16],"study":[1],"the":[2,8,18,29,40],"relation":[3],"between":[4],"sweeping":[5,26],"processes":[6],"with":[7,28],"cone":[9,30],"of":[10,20,23,31,35],"limiting":[11,32],"normals":[12,33],"and":[13,34],"projection":[14,37],"processes.":[15],"prove":[17],"existence":[19],"a":[21,24,49,59],"solution":[22],"perturbed":[25],"process":[27],"nonstationary":[36],"processes,":[38],"provided":[39],"sets":[41],"involved":[42],"are":[43,46],"definable":[44,50],"(and":[45],"moving":[47],"in":[48,52],"way)":[51],"some":[53],"o-minimal":[54],"structure.":[55],"An":[56],"application":[57],"to":[58],"crowd":[60],"motion":[61],"model":[62],"is":[63],"presented.":[64]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
