<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Orbital free entropy, revisited</dc:title>
<dc:creator>Yoshimichi Ueda</dc:creator>
<dc:subject>Primary 46L54: Secondary 52C17</dc:subject><dc:subject>28A78</dc:subject><dc:subject>94A17</dc:subject><dc:subject>Free probability</dc:subject><dc:subject>free entropy</dc:subject><dc:subject>free entropy dimension</dc:subject><dc:subject>mutual information</dc:subject><dc:subject>non-commutative random variable</dc:subject><dc:subject>free unitary Brownian motion</dc:subject>
<dc:description>We give another definition of orbital free entropy introduced by Hiai, Miyamoto, and us, which does not need the hyperfiniteness assumption for each given random multi-variable. The present definition is somehow related to one of its several recent approaches due to Biane and Dabrowski, but can be shown to agree with the original definition completely, and is much closer to the original approach.</dc:description>
<dc:publisher>Indiana University Mathematics Journal</dc:publisher>
<dc:date>2014</dc:date>
<dc:type>text</dc:type>
<dc:format>pdf</dc:format>
<dc:identifier>10.1512/iumj.2014.63.5220</dc:identifier>
<dc:source>10.1512/iumj.2014.63.5220</dc:source>
<dc:language>en</dc:language>
<dc:relation>Indiana Univ. Math. J. 63 (2014) 551 - 577</dc:relation>
<dc:coverage>state-of-the-art mathematics</dc:coverage>
<dc:rights>http://iumj.org/access/</dc:rights>
</oai_dc:dc>