@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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              A nonnegative coarse Ricci curvature for a Markov chain and the existence of an attractive point implies the concentration of the invariant probability measure around this point. The mass outside balls centered at the attractive point, as a function of the radius, decreases at least as fast as the exponential of a double integral of the coarse Ricci curvature. This is exactly the behaviour of the density of the reversible measure for diffusion processes on the real line.
            """ ;
    dct:identifier "hal-00678728" ;
    dct:issued "2026-05-24T21:56:48.925263"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-24T21:56:48.925270"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A concentration theorem for the equilibrium measure of Markov chains with nonnegative coarse Ricci curvature" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "coarse-ricci-curvature",
        "concentration-of-measure",
        "infoeu-reposemanticspreprint",
        "markov-chain",
        "mathmath-prmathematics-mathprobability-mathpr",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00678728> .

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    dct:modified "2026-05-24T21:56:48.895768"^^xsd:dateTime ;
    dct:title "A concentration theorem for the equilibrium measure of Markov chains with nonnegative coarse Ricci curvature" ;
    dcat:accessURL <https://hal.science/hal-00678728> .

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