{"id":"https://openalex.org/W1819827759","doi":"https://doi.org/10.1109/tac.2012.2226103","title":"Ergodic Control and Polyhedral Approaches to PageRank Optimization","display_name":"Ergodic Control and Polyhedral Approaches to PageRank Optimization","publication_year":2012,"publication_date":"2012-10-23","ids":{"openalex":"https://openalex.org/W1819827759","doi":"https://doi.org/10.1109/tac.2012.2226103","mag":"1819827759"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2012.2226103","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2226103","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1011.2348","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064454585","display_name":"Olivier Fercoq","orcid":"https://orcid.org/0000-0002-3393-9757"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Fercoq","raw_affiliation_strings":["INRIA Saclay and CMAP Ecole Polytechnique, Palaiseau, France","Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique","Max-plus algebras and mathematics of decision"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Saclay and CMAP Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142476485"]},{"raw_affiliation_string":"Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210107641"]},{"raw_affiliation_string":"Max-plus algebras and mathematics of decision","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078804236","display_name":"Marianne Akian","orcid":"https://orcid.org/0000-0002-8569-7622"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marianne Akian","raw_affiliation_strings":["INRIA Saclay and CMAP Ecole Polytechnique, Palaiseau, France","Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique","Max-plus algebras and mathematics of decision"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Saclay and CMAP Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142476485"]},{"raw_affiliation_string":"Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210107641"]},{"raw_affiliation_string":"Max-plus algebras and mathematics of decision","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075150386","display_name":"Mustapha Bouhtou","orcid":null},"institutions":[{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mustapha Bouhtou","raw_affiliation_strings":["France T\u00e9l\u00e9com R & D, Orange Labs, Issy-les-Moulineaux, cedex 9, France","Orange Labs [Issy les Moulineaux]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"France T\u00e9l\u00e9com R & D, Orange Labs, Issy-les-Moulineaux, cedex 9, France","institution_ids":["https://openalex.org/I19370010"]},{"raw_affiliation_string":"Orange Labs [Issy les Moulineaux]","institution_ids":["https://openalex.org/I19370010"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082671255","display_name":"St\u00e9phane Gaubert","orcid":"https://orcid.org/0000-0002-2777-9988"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210107641","display_name":"Centre de Math\u00e9matiques Appliqu\u00e9es de l'\u00c9cole polytechnique","ror":"https://ror.org/012e1xn46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210107641","https://openalex.org/I4210141950","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Stephane Gaubert","raw_affiliation_strings":["INRIA Saclay and CMAP Ecole Polytechnique, Palaiseau, France","Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique","Max-plus algebras and mathematics of decision"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Saclay and CMAP Ecole Polytechnique, Palaiseau, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142476485"]},{"raw_affiliation_string":"Centre de Math\u00e9matiques Appliqu\u00e9es - Ecole Polytechnique","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210107641"]},{"raw_affiliation_string":"Max-plus algebras and mathematics of decision","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.0146,"has_fulltext":true,"cited_by_count":49,"citation_normalized_percentile":{"value":0.95926551,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"58","issue":"1","first_page":"134","last_page":"148"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9840999841690063,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9796000123023987,"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/T10715","display_name":"Distributed and Parallel Computing Systems","score":0.9656000137329102,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.747567892074585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5479946732521057},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.5192385315895081},{"id":"https://openalex.org/keywords/pagerank","display_name":"PageRank","score":0.51387619972229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2917344272136688},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.20477807521820068},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1887650489807129},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07475998997688293}],"concepts":[{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.747567892074585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5479946732521057},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.5192385315895081},{"id":"https://openalex.org/C2779172887","wikidata":"https://www.wikidata.org/wiki/Q184316","display_name":"PageRank","level":2,"score":0.51387619972229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2917344272136688},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.20477807521820068},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1887650489807129},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07475998997688293}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2012.2226103","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2226103","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1011.2348","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1011.2348","pdf_url":"https://arxiv.org/pdf/1011.2348","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.9214","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.9214","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1011.2348.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00782749v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-00782749","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, 2013, 58 (1), pp.134--148. &#x27E8;10.1109/TAC.2012.2226103&#x27E9;","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1011.2348","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1011.2348","pdf_url":"https://arxiv.org/pdf/1011.2348","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.800000011920929,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320313934","display_name":"Institut national de recherche en informatique et en automatique (INRIA)","ror":"https://ror.org/02kvxyf05"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W14418643","https://openalex.org/W49362422","https://openalex.org/W1490297807","https://openalex.org/W1518931405","https://openalex.org/W1521333607","https://openalex.org/W1545148916","https://openalex.org/W1568307856","https://openalex.org/W1569511518","https://openalex.org/W1608412409","https://openalex.org/W1773860787","https://openalex.org/W1964579932","https://openalex.org/W1988217924","https://openalex.org/W2021798600","https://openalex.org/W2026950860","https://openalex.org/W2032100464","https://openalex.org/W2066636486","https://openalex.org/W2100440346","https://openalex.org/W2106101949","https://openalex.org/W2108671511","https://openalex.org/W2111289574","https://openalex.org/W2117925456","https://openalex.org/W2118921825","https://openalex.org/W2119567691","https://openalex.org/W2125493559","https://openalex.org/W2140635346","https://openalex.org/W2150596521","https://openalex.org/W2165304603","https://openalex.org/W2165428239","https://openalex.org/W2271295020","https://openalex.org/W2294751532","https://openalex.org/W2334782222","https://openalex.org/W2596585349","https://openalex.org/W3101608334","https://openalex.org/W4285719527","https://openalex.org/W6629455768","https://openalex.org/W6631168898","https://openalex.org/W6633980379","https://openalex.org/W6682534957"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2106626222","https://openalex.org/W2980866815","https://openalex.org/W50969306","https://openalex.org/W2390585021","https://openalex.org/W412641959","https://openalex.org/W1562405179","https://openalex.org/W2125493559","https://openalex.org/W1544909909"],"abstract_inverted_index":{"We":[0,24,58,152,191],"study":[1],"a":[2,17,27,38,41,120,181],"general":[3],"class":[4],"of":[5,37,98,103,116,168,197],"PageRank":[6],"optimization":[7],"problems":[8],"which":[9,31,45,91,124,178,185],"involve":[10],"finding":[11],"an":[12,113],"optimal":[13,169],"outlink":[14,170],"strategy":[15],"for":[16,142],"web":[18,200],"site":[19],"subject":[20],"to":[21,107,158,184],"design":[22],"constraints.":[23,151],"consider":[25],"both":[26,79],"continuous":[28,62,129],"problem,":[29,63],"in":[30,44,46,90,133,174],"one":[32],"can":[33,78],"choose":[34],"the":[35,61,92,95,101,128,138,143,165,198],"intensity":[36],"link,":[39],"and":[40,55,136,172],"discrete":[42,68,144],"one,":[43],"each":[47],"page,":[48],"there":[49,71,147,179],"are":[50,72,148],"obligatory":[51],"links,":[52],"facultative":[53],"links":[54],"forbidden":[56],"links.":[57],"show":[59,111],"that":[60,112,127,137],"as":[64,66],"well":[65],"its":[67],"variant":[69],"when":[70,146],"no":[73,149],"constraints":[74],"coupling":[75,150],"different":[76],"pages,":[77],"be":[80,108],"modeled":[81],"by":[82],"constrained":[83],"Markov":[84],"decision":[85],"processes":[86],"with":[87],"ergodic":[88],"reward,":[89],"webmaster":[93],"determines":[94],"transition":[96,117],"probabilities":[97],"websurfers.":[99],"Although":[100],"number":[102],"actions":[104],"turns":[105],"out":[106],"exponential,":[109],"we":[110,125,163],"associated":[114],"polytope":[115],"measures":[118],"has":[119],"concise":[121],"representation,":[122],"from":[123],"deduce":[126],"problem":[130,145],"is":[131,140],"solvable":[132],"polynomial":[134],"time,":[135],"same":[139],"true":[141],"also":[153],"provide":[154],"efficient":[155],"algorithms,":[156],"adapted":[157],"very":[159],"large":[160],"networks.":[161],"Then,":[162],"investigate":[164],"qualitative":[166],"features":[167],"strategies,":[171],"identify":[173],"particular":[175],"assumptions":[176],"under":[177],"exists":[180],"\u201cmaster\u201d":[182],"page":[183],"all":[186],"controlled":[187],"pages":[188],"should":[189],"point.":[190],"report":[192],"numerical":[193],"results":[194],"on":[195],"fragments":[196],"real":[199],"graph.":[201]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":6}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
