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The correspondence principle and finitary ergodic theory

This month I am at MSRI, for the programs of Ergodic Theory and Additive Combinatorics, and Analysis on Singular Spaces, that are currently ongoing here.  This week I am giving three lectures on the...

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Finitary consequences of the invariant subspace problem

One of the most notorious open problems in functional analysis is the invariant subspace problem for Hilbert spaces, which I will state here as a conjecture: Conjecture 1 (Invariant Subspace Problem,...

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