Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995600142> ?p ?o ?g. }
- W1995600142 endingPage "695" @default.
- W1995600142 startingPage "669" @default.
- W1995600142 abstract "In this paper, one investigates the transportation-information T c I inequalities: α(T c (ν, μ)) ≤ I (ν|μ) for all probability measures ν on a metric space $${(mathcal{X}, d)}$$ , where μ is a given probability measure, T c (ν, μ) is the transportation cost from ν to μ with respect to the cost function c(x, y) on $${mathcal{X}^2}$$ , I(ν|μ) is the Fisher–Donsker–Varadhan information of ν with respect to μ and α : [0, ∞) → [0, ∞] is a left continuous increasing function. Using large deviation techniques, it is shown that T c I is equivalent to some concentration inequality for the occupation measure of a μ-reversible ergodic Markov process related to I(·|μ). The tensorization property of T c I and comparisons of T c I with Poincaré and log-Sobolev inequalities are investigated. Several easy-to-check sufficient conditions are provided for special important cases of T c I and several examples are worked out." @default.
- W1995600142 created "2016-06-24" @default.
- W1995600142 creator A5045771047 @default.
- W1995600142 creator A5051679487 @default.
- W1995600142 creator A5077771723 @default.
- W1995600142 creator A5078509204 @default.
- W1995600142 date "2008-07-15" @default.
- W1995600142 modified "2023-09-30" @default.
- W1995600142 title "Transportation-information inequalities for Markov processes" @default.
- W1995600142 cites W1585160083 @default.
- W1995600142 cites W193561859 @default.
- W1995600142 cites W1995713768 @default.
- W1995600142 cites W1998123258 @default.
- W1995600142 cites W2007338883 @default.
- W1995600142 cites W2007817872 @default.
- W1995600142 cites W2012924849 @default.
- W1995600142 cites W2014248834 @default.
- W1995600142 cites W2021657319 @default.
- W1995600142 cites W2027611691 @default.
- W1995600142 cites W2032392638 @default.
- W1995600142 cites W2041880317 @default.
- W1995600142 cites W2045535845 @default.
- W1995600142 cites W2046017653 @default.
- W1995600142 cites W2060960121 @default.
- W1995600142 cites W2068609910 @default.
- W1995600142 cites W2086236043 @default.
- W1995600142 cites W2088811292 @default.
- W1995600142 cites W2112817983 @default.
- W1995600142 cites W2130401121 @default.
- W1995600142 cites W2164227042 @default.
- W1995600142 cites W2166461660 @default.
- W1995600142 cites W2237678354 @default.
- W1995600142 cites W26888961 @default.
- W1995600142 cites W2951714068 @default.
- W1995600142 cites W4248500611 @default.
- W1995600142 cites W4249826445 @default.
- W1995600142 cites W59049684 @default.
- W1995600142 doi "https://doi.org/10.1007/s00440-008-0159-5" @default.
- W1995600142 hasPublicationYear "2008" @default.
- W1995600142 type Work @default.
- W1995600142 sameAs 1995600142 @default.
- W1995600142 citedByCount "76" @default.
- W1995600142 countsByYear W19956001422012 @default.
- W1995600142 countsByYear W19956001422013 @default.
- W1995600142 countsByYear W19956001422014 @default.
- W1995600142 countsByYear W19956001422015 @default.
- W1995600142 countsByYear W19956001422016 @default.
- W1995600142 countsByYear W19956001422017 @default.
- W1995600142 countsByYear W19956001422018 @default.
- W1995600142 countsByYear W19956001422019 @default.
- W1995600142 countsByYear W19956001422020 @default.
- W1995600142 countsByYear W19956001422021 @default.
- W1995600142 countsByYear W19956001422022 @default.
- W1995600142 countsByYear W19956001422023 @default.
- W1995600142 crossrefType "journal-article" @default.
- W1995600142 hasAuthorship W1995600142A5045771047 @default.
- W1995600142 hasAuthorship W1995600142A5051679487 @default.
- W1995600142 hasAuthorship W1995600142A5077771723 @default.
- W1995600142 hasAuthorship W1995600142A5078509204 @default.
- W1995600142 hasBestOaLocation W19956001421 @default.
- W1995600142 hasConcept C105795698 @default.
- W1995600142 hasConcept C114614502 @default.
- W1995600142 hasConcept C118615104 @default.
- W1995600142 hasConcept C122044880 @default.
- W1995600142 hasConcept C124101348 @default.
- W1995600142 hasConcept C14036430 @default.
- W1995600142 hasConcept C159886148 @default.
- W1995600142 hasConcept C162324750 @default.
- W1995600142 hasConcept C176217482 @default.
- W1995600142 hasConcept C202444582 @default.
- W1995600142 hasConcept C21031990 @default.
- W1995600142 hasConcept C21547014 @default.
- W1995600142 hasConcept C2780009758 @default.
- W1995600142 hasConcept C33923547 @default.
- W1995600142 hasConcept C41008148 @default.
- W1995600142 hasConcept C78458016 @default.
- W1995600142 hasConcept C86803240 @default.
- W1995600142 hasConcept C98763669 @default.
- W1995600142 hasConceptScore W1995600142C105795698 @default.
- W1995600142 hasConceptScore W1995600142C114614502 @default.
- W1995600142 hasConceptScore W1995600142C118615104 @default.
- W1995600142 hasConceptScore W1995600142C122044880 @default.
- W1995600142 hasConceptScore W1995600142C124101348 @default.
- W1995600142 hasConceptScore W1995600142C14036430 @default.
- W1995600142 hasConceptScore W1995600142C159886148 @default.
- W1995600142 hasConceptScore W1995600142C162324750 @default.
- W1995600142 hasConceptScore W1995600142C176217482 @default.
- W1995600142 hasConceptScore W1995600142C202444582 @default.
- W1995600142 hasConceptScore W1995600142C21031990 @default.
- W1995600142 hasConceptScore W1995600142C21547014 @default.
- W1995600142 hasConceptScore W1995600142C2780009758 @default.
- W1995600142 hasConceptScore W1995600142C33923547 @default.
- W1995600142 hasConceptScore W1995600142C41008148 @default.
- W1995600142 hasConceptScore W1995600142C78458016 @default.
- W1995600142 hasConceptScore W1995600142C86803240 @default.
- W1995600142 hasConceptScore W1995600142C98763669 @default.
- W1995600142 hasIssue "3-4" @default.
- W1995600142 hasLocation W19956001421 @default.