{"id":"https://openalex.org/W4389073237","doi":"https://doi.org/10.48550/arxiv.2311.14520","title":"Shifted Composition I: Harnack and Reverse Transport Inequalities","display_name":"Shifted Composition I: Harnack and Reverse Transport Inequalities","publication_year":2023,"publication_date":"2023-11-24","ids":{"openalex":"https://openalex.org/W4389073237","doi":"https://doi.org/10.48550/arxiv.2311.14520"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2311.14520","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.14520","pdf_url":"https://arxiv.org/pdf/2311.14520","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2311.14520","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039466187","display_name":"Jason M. Altschuler","orcid":"https://orcid.org/0000-0001-7367-0097"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Altschuler, Jason M.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5052571538","display_name":"Sinho Chewi","orcid":"https://orcid.org/0000-0003-2701-0703"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chewi, Sinho","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039466187"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9919999837875366,"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":0.9919999837875366,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9635000228881836,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9287999868392944,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/girsanov-theorem","display_name":"Girsanov theorem","score":0.9217568635940552},{"id":"https://openalex.org/keywords/harnacks-inequality","display_name":"Harnack's inequality","score":0.7014952301979065},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.670954704284668},{"id":"https://openalex.org/keywords/harnacks-principle","display_name":"Harnack's principle","score":0.6122299432754517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6085238456726074},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5829942226409912},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5769042372703552},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.5380595922470093},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5067327618598938},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.47041940689086914},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.43489861488342285},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.43039727210998535},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.41711753606796265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.37434297800064087},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3447236716747284},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1480107307434082},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.09307810664176941}],"concepts":[{"id":"https://openalex.org/C104824951","wikidata":"https://www.wikidata.org/wiki/Q830124","display_name":"Girsanov theorem","level":3,"score":0.9217568635940552},{"id":"https://openalex.org/C8464174","wikidata":"https://www.wikidata.org/wiki/Q868279","display_name":"Harnack's inequality","level":2,"score":0.7014952301979065},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.670954704284668},{"id":"https://openalex.org/C163072092","wikidata":"https://www.wikidata.org/wiki/Q1135706","display_name":"Harnack's principle","level":3,"score":0.6122299432754517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6085238456726074},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5829942226409912},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5769042372703552},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.5380595922470093},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5067327618598938},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47041940689086914},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.43489861488342285},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.43039727210998535},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.41711753606796265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37434297800064087},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3447236716747284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1480107307434082},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.09307810664176941},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2311.14520","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.14520","pdf_url":"https://arxiv.org/pdf/2311.14520","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2311.14520","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2311.14520","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2311.14520","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.14520","pdf_url":"https://arxiv.org/pdf/2311.14520","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6299999952316284,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389073237.pdf","grobid_xml":"https://content.openalex.org/works/W4389073237.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2039622355","https://openalex.org/W1860884923","https://openalex.org/W1979500940","https://openalex.org/W2953169624","https://openalex.org/W2887996120","https://openalex.org/W2952461269","https://openalex.org/W2563488312","https://openalex.org/W1975913290","https://openalex.org/W2963700858","https://openalex.org/W1986486639"],"abstract_inverted_index":{"We":[0],"formulate":[1],"a":[2,101],"new":[3],"information-theoretic":[4],"principle--the":[5],"shifted":[6,65],"composition":[7],"rule--which":[8],"bounds":[9],"the":[10,17,24,63],"divergence":[11,66],"(e.g.,":[12],"Kullback-Leibler":[13],"or":[14],"R\u00e9nyi)":[15],"between":[16],"laws":[18],"of":[19,26,103],"two":[20],"stochastic":[21],"processes":[22],"via":[23],"introduction":[25],"auxiliary":[27],"shifts.":[28],"In":[29],"this":[30,34],"paper,":[31],"we":[32],"apply":[33],"principle":[35],"to":[36,78],"prove":[37],"reverse":[38],"transport":[39],"inequalities":[40,95],"for":[41,96],"diffusions":[42],"which,":[43],"by":[44],"duality,":[45],"imply":[46],"F.-Y.":[47],"Wang's":[48],"celebrated":[49],"dimension-free":[50],"Harnack":[51,105],"inequalities.":[52,106],"Our":[53],"approach":[54],"bridges":[55],"continuous-time":[56,82],"coupling":[57,83],"methods":[58],"from":[59,68],"geometric":[60],"analysis":[61],"with":[62],"discrete-time":[64,97],"technique":[67],"differential":[69],"privacy":[70],"and":[71,99],"sampling.":[72],"It":[73],"also":[74],"naturally":[75],"gives":[76],"rise":[77],"(1)":[79],"an":[80],"alternative":[81],"method":[84],"based":[85],"on":[86],"optimal":[87],"transport,":[88],"which":[89],"bypasses":[90],"Girsanov":[91],"transformations,":[92],"(2)":[93],"functional":[94],"processes,":[98],"(3)":[100],"family":[102],"\"reverse\"":[104]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}