<?xml version="1.0" encoding="UTF-8"?>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
         xmlns:dc="http://purl.org/dc/terms/"
         xmlns:foaf="http://xmlns.com/foaf/0.1/"
         xmlns:bibo="http://purl.org/ontology/bibo/"
         xmlns:fabio="http://purl.org/spar/fabio/"
         xmlns:owl="http://www.w3.org/2002/07/owl#"
         xmlns:event="http://purl.org/NET/c4dm/event.owl#"
         xmlns:ore="http://www.openarchives.org/ore/terms/">

    <rdf:Description rdf:about="https://research-explorer.ista.ac.at/record/10548">
        <ore:isDescribedBy rdf:resource="https://research-explorer.ista.ac.at/record/10548"/>
        <dc:title>Scaling limit of the homogenization commutator for Gaussian coefficient  fields</dc:title>
        <bibo:authorList rdf:parseType="Collection">
            <foaf:Person>
                <foaf:name></foaf:name>
                <foaf:surname></foaf:surname>
                <foaf:givenname></foaf:givenname>
            </foaf:Person>
            <foaf:Person>
                <foaf:name></foaf:name>
                <foaf:surname></foaf:surname>
                <foaf:givenname></foaf:givenname>
            </foaf:Person>
            <foaf:Person>
                <foaf:name></foaf:name>
                <foaf:surname></foaf:surname>
                <foaf:givenname></foaf:givenname>
            </foaf:Person>
        </bibo:authorList>
        <bibo:abstract>Consider a linear elliptic partial differential equation in divergence form with a random coefficient field. The solution operator displays fluctuations around its expectation. The recently developed pathwise theory of fluctuations in stochastic homogenization reduces the characterization of these fluctuations to those of the so-called standard homogenization commutator. In this contribution, we investigate the scaling limit of this key quantity: starting
from a Gaussian-like coefficient field with possibly strong correlations, we establish the convergence of the rescaled commutator to a fractional Gaussian field, depending on the decay of correlations of the coefficient field, and we
investigate the (non)degeneracy of the limit. This extends to general dimension $d\ge1$ previous results so far limited to dimension $d=1$, and to the continuum setting with strong correlations recent results in the discrete iid case.</bibo:abstract>
        <bibo:volume>32</bibo:volume>
        <bibo:issue>2</bibo:issue>
        <bibo:startPage>1179-1209</bibo:startPage>
        <bibo:endPage>1179-1209</bibo:endPage>
        <dc:publisher>Institute of Mathematical Statistics</dc:publisher>
        <bibo:doi rdf:resource="10.1214/21-AAP1705" />
        <ore:similarTo rdf:resource="info:doi/10.1214/21-AAP1705"/>
    </rdf:Description>
</rdf:RDF>
