Document Zbl 07537333

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J. Approx. Reasoning</a> <a href="/?q=in%3A482781" title="Articles in this Issue">146, 1-20 (2022)</a>. </div> <div class="abstract">Summary: In this paper, we investigate capacity preserving $\mathbb{Z}_+^d$-actions and their ergodicity. We give the concepts of weak ergodicity and strong ergodicity for capacity preserving $\mathbb{Z}_+^d$-actions. In particular, we establish a weak ergodic theorem and a strong ergodic theorem for capacity preserving $\mathbb{Z}_+^d$-actions.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7537333">Cited in <strong>1</strong> Document</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68T37" title="MSC2020">68T37</a> </td> <td class="space"> Reasoning under uncertainty in the context of artificial intelligence </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aweak+ergodic">weak ergodic</a>; <a href="/?q=ut%3Astrong+ergodic">strong ergodic</a>; <a href="/?q=ut%3Acapacity">capacity</a>; <a href="/?q=ut%3A%5C%28%5Cmathbb%7BZ%7D_%2B%5Ed%5C%29-actions">$\mathbb{Z}_+^d$-actions</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07537333" data-ciurl="/ci/07537333" data-biburl="/bibtex/07537333.bib" data-amsurl="/amsrefs/07537333.bib" data-xmlurl="/xml/07537333.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07537333.pdf" title="Zbl 07537333 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.ijar.2022.03.010" aria-label="DOI for “Ergodic theorems for capacity preserving $\mathbb{Z}_+^d$-actions”" title="10.1016/j.ijar.2022.03.010">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Aliprantis, C. 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