{"id":"https://openalex.org/W2045872103","doi":"https://doi.org/10.1109/ciss.2014.6814159","title":"Convex relative entropy decay in Markov chains","display_name":"Convex relative entropy decay in Markov chains","publication_year":2014,"publication_date":"2014-03-01","ids":{"openalex":"https://openalex.org/W2045872103","doi":"https://doi.org/10.1109/ciss.2014.6814159","mag":"2045872103"},"language":"en","primary_location":{"id":"doi:10.1109/ciss.2014.6814159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2014.6814159","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 48th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-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/A5021502006","display_name":"Varun Jog","orcid":"https://orcid.org/0000-0003-4159-0900"},"institutions":[{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Varun Jog","raw_affiliation_strings":["EECS, UC Berkeley, Berkeley, CA","EECS, UC Berkeley, CA-94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS, UC Berkeley, Berkeley, CA","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS, UC Berkeley, CA-94720, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013689450","display_name":"Venkat Anantharam","orcid":"https://orcid.org/0000-0002-6214-7927"},"institutions":[{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkat Anantharam","raw_affiliation_strings":["EECS, UC Berkeley, Berkeley, CA","EECS, UC Berkeley, CA-94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EECS, UC Berkeley, Berkeley, CA","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]},{"raw_affiliation_string":"EECS, UC Berkeley, CA-94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6721,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72811011,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9381999969482422,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.8208001852035522},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.5211860537528992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.520294725894928},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49066436290740967},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4698556661605835},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4435630142688751},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.4401310682296753},{"id":"https://openalex.org/keywords/markov-chain-mixing-time","display_name":"Markov chain mixing time","score":0.4272356927394867},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4207892417907715},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.3246227204799652},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.3214552402496338},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1549326777458191},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11944690346717834},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.07476362586021423}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.8208001852035522},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.5211860537528992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.520294725894928},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49066436290740967},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4698556661605835},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4435630142688751},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.4401310682296753},{"id":"https://openalex.org/C97074811","wikidata":"https://www.wikidata.org/wiki/Q6771322","display_name":"Markov chain mixing time","level":5,"score":0.4272356927394867},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4207892417907715},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.3246227204799652},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.3214552402496338},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1549326777458191},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11944690346717834},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.07476362586021423},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/ciss.2014.6814159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ciss.2014.6814159","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 48th Annual Conference on Information Sciences and Systems (CISS)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.599.1211","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.599.1211","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/~varunjog/ciss2014.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.641.2777","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.641.2777","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eecs.berkeley.edu/~ananth/2014+/2014-02-24_VarunCISS.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1600293573","https://openalex.org/W1981326159","https://openalex.org/W2077810240","https://openalex.org/W2093828582","https://openalex.org/W2099111195","https://openalex.org/W2120997209","https://openalex.org/W2210387432","https://openalex.org/W2334892536","https://openalex.org/W2471517265","https://openalex.org/W3146830351"],"related_works":["https://openalex.org/W2027903142","https://openalex.org/W2735859191","https://openalex.org/W2987631717","https://openalex.org/W2989366387","https://openalex.org/W3166133680","https://openalex.org/W4298421644","https://openalex.org/W3005038145","https://openalex.org/W2107711562","https://openalex.org/W2794873331","https://openalex.org/W190459708"],"abstract_inverted_index":{"We":[0,146],"look":[1],"at":[2,33,61],"irreducible":[3],"continuous":[4],"time":[5,34,141],"Markov":[6,25,70,122,144,151,158],"chains":[7,71,152,159],"with":[8],"a":[9,18,51,121],"finite":[10,149],"or":[11],"countably":[12],"infinite":[13],"number":[14],"of":[15,55,69,85,104,114,132,142],"states,":[16],"and":[17,57,136],"unique":[19],"stationary":[20],"distribution":[21,28],"\u03c0.":[22],"If":[23],"the":[24,81,105,130,139,143],"chain":[26,123],"has":[27,109],"\u03bc":[29],"<sub":[30,45,87,116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[31,46,88,117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</sub>":[32,47,89,118],"t,":[35],"its":[36],"relative":[37,96,133],"entropy":[38,97,134],"to":[39,59,98,126],"stationarity":[40,99],"is":[41,50],"denoted":[42],"by":[43],"h(\u03bc":[44,86,115],"|\u03c0).":[48,90],"This":[49],"monotonically":[52],"decreasing":[53],"function":[54],"time,":[56],"decays":[58],"0":[60],"an":[62],"exponential":[63],"rate":[64,131],"in":[65,73,120],"most":[66],"natural":[67],"examples":[68],"arising":[72,160],"applications.":[74],"In":[75,91],"this":[76],"paper,":[77],"we":[78,93],"focus":[79],"on":[80,129,138],"second":[82],"derivative":[83],"properties":[84],"particular":[92],"examine":[94],"when":[95],"exhibits":[100],"convex":[101],"decay,":[102,135],"independent":[103],"starting":[106],"distribution.":[107],"It":[108],"been":[110],"shown":[111],"that":[112],"convexity":[113],"|\u03c0)":[119],"can":[124],"lead":[125],"sharper":[127],"bounds":[128],"thus":[137],"mixing":[140],"chain.":[145],"study":[147],"certain":[148],"state":[150,157],"as":[153,155],"well":[154],"countable":[156],"from":[161],"stable":[162],"Jackson":[163],"queueing":[164],"networks.":[165]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
