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Quantitative Orbit Equivalence for $\mathbb{Z}$-odometers
Abstract
It is known for a long time, due to a celebrated theorem of Ornstein and Weiss, that (classical/plain) orbit equivalence offers no information about ergodic probability measure preserving actions of amenable groups. On the other hand, conjugacy is too intractable, and effectively hopeless to study in full generality. Quantitative orbit equivalence aims to bridge this gap by adding intermediate layers of rigidity— a strategy that has borne fruit already in the late 1960s but was used as a general framework only semi-recently. In this talk, Spyridon Petrakos will introduce aspects of quantitative orbit equivalence and present a complete picture of it for integer odometers. This is joint work with Petr Naryshkin.
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The Public and Community Engagement with Research (PCER) team in Research Services is once again celebrating colleagues doing brilliant public and community engagement work. Building on the success of last term, we’ve reopened nominations and are asking you to nominate people who you think deserve to be recognised.