{"id":"https://openalex.org/W2523636485","doi":"https://doi.org/10.1142/s0129054117500083","title":"The Random Bit Complexity of Mobile Robots Scattering","display_name":"The Random Bit Complexity of Mobile Robots Scattering","publication_year":2017,"publication_date":"2017-02-01","ids":{"openalex":"https://openalex.org/W2523636485","doi":"https://doi.org/10.1142/s0129054117500083","mag":"2523636485"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054117500083","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054117500083","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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 Foundations of Computer Science","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/A5054863398","display_name":"Quentin Bramas","orcid":"https://orcid.org/0000-0003-0612-5616"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Quentin Bramas","raw_affiliation_strings":["Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6 UMR 7606 4 place Jussieu 75005 Paris, France"],"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6 UMR 7606 4 place Jussieu 75005 Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I1294671590","https://openalex.org/I4210159731"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073883755","display_name":"S\u00e9bastien Tixeuil","orcid":"https://orcid.org/0000-0002-0948-7172"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Tixeuil","raw_affiliation_strings":["Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6 UMR 7606 4 place Jussieu 75005 Paris, France"],"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ Paris 06, CNRS, LIP6 UMR 7606 4 place Jussieu 75005 Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I1294671590","https://openalex.org/I4210159731"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054863398"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210159731"],"apc_list":null,"apc_paid":null,"fwci":0.6578,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71641681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"02","first_page":"111","last_page":"133"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.8565999865531921,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12288","display_name":"Optimization and Search Problems","score":0.8565999865531921,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.02979999966919422,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.018400000408291817,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/randomness","display_name":"Randomness","score":0.6743667721748352},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.6422436237335205},{"id":"https://openalex.org/keywords/scattering","display_name":"Scattering","score":0.5702093243598938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.507318913936615},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.48346835374832153},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.46610957384109497},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4656323492527008},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.45868778228759766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45866265892982483},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42957261204719543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3381074368953705},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14777565002441406},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13068968057632446},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12399134039878845},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09837210178375244}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6743667721748352},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.6422436237335205},{"id":"https://openalex.org/C191486275","wikidata":"https://www.wikidata.org/wiki/Q210028","display_name":"Scattering","level":2,"score":0.5702093243598938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.507318913936615},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.48346835374832153},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.46610957384109497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4656323492527008},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.45868778228759766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45866265892982483},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42957261204719543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3381074368953705},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14777565002441406},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13068968057632446},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12399134039878845},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09837210178375244}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129054117500083","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054117500083","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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 Foundations of Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01349017v1","is_oa":false,"landing_page_url":"https://hal.sorbonne-universite.fr/hal-01349017","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Foundations of Computer Science, 2017, 28 (2), pp.111-133. ⟨10.1142/S0129054117500083⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W96380826","https://openalex.org/W1597541823","https://openalex.org/W2061496873","https://openalex.org/W2112973145","https://openalex.org/W2113586464","https://openalex.org/W3182674124"],"related_works":["https://openalex.org/W2013784340","https://openalex.org/W4377371889","https://openalex.org/W2113623403","https://openalex.org/W1862126075","https://openalex.org/W2055932080","https://openalex.org/W1968512104","https://openalex.org/W2565109825","https://openalex.org/W1589381382","https://openalex.org/W2109630252","https://openalex.org/W2113270940"],"abstract_inverted_index":{"We":[0,30,53,124],"consider":[1],"the":[2,32,38,45,106,112,135,201,208,219,231],"problem":[3,16],"of":[4,34,40,115,155,175,204,223],"scattering":[5,79,94,107,116,148,156],"n":[6,57,59,66,214],"robots":[7,67],"in":[8,21,68,131,134,139,207],"a":[9,22,74,78,153,172,212,261],"two":[10],"dimensional":[11],"continuous":[12],"space.":[13],"As":[14,86],"this":[15,176],"is":[17,48,121,179,246,253,257],"impossible":[18],"to":[19,50,64,81,259],"solve":[20],"deterministic":[23],"manner,":[24],"all":[25],"solutions":[26,92],"must":[27],"be":[28,82],"probabilistic.":[29],"investigate":[31,111],"amount":[33],"randomness":[35],"(that":[36,241],"is,":[37,242],"number":[39],"random":[41,60,83,102,145,180,186,220],"bits":[42,61,146,187],"used":[43],"by":[44,211],"robots)":[46],"that":[47,56,90,126,158,178],"required":[49],"achieve":[51],"scattering.":[52],"first":[54],"prove":[55,125],"log":[58,141,184,194,213],"are":[62,99,188,197],"necessary":[63],"scatter":[65],"any":[69],"setting.":[70],"Also,":[71,168],"we":[72,110,151,169],"give":[73],"sufficient":[75],"condition":[76],"for":[77,93,105,144],"algorithm":[80],"bit":[84,103,181,221],"optimal.":[85],"it":[87,256],"turns":[88],"out":[89],"previous":[91,205],"satisfy":[95],"our":[96,227],"condition,":[97],"they":[98],"hence":[100],"proved":[101],"optimal":[104,147,182,192],"problem.":[108],"Then,":[109],"time":[113,133,191,202,232,244],"complexity":[114,203,222,233,245],"when":[117,249],"strong":[118,238,250],"multiplicity":[119,166,239,251],"detection":[120,240,252],"not":[122],"available.":[123],"such":[127],"algorithms":[128,157],"cannot":[129],"converge":[130,159],"constant":[132,262],"general":[136],"case":[137],"and":[138,190,236,255],"o(log":[140],"n)":[142,185,195],"rounds":[143,196],"algorithms.":[149],"However,":[150],"present":[152],"family":[154,177],"as":[160,162,264],"fast":[161],"needed":[163],"without":[164,237],"using":[165],"detection.":[167],"put":[170],"forward":[171],"specific":[173],"protocol":[174],"(O(n":[183],"used)":[189],"(O(log":[193],"used).":[198],"This":[199],"improves":[200],"results":[206],"same":[209],"setting":[210],"factor.":[215],"Aside":[216],"from":[217],"characterizing":[218],"mobile":[224],"robot":[225],"scattering,":[226],"study":[228],"also":[229],"closes":[230],"gap":[234],"with":[235],"O(1)":[243],"only":[247],"achievable":[248],"available,":[254],"possible":[258],"approach":[260],"value":[263],"desired":[265],"otherwise).":[266]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}