Managing Expectations: Freeness and the Fourier Matrix

Abstract : We introduce a new criterion depending on the concept of traffic-independence that can be used to rule out freeness between an i.i.d. diagonal matrix and another matrix. This sheds new light on a conjecture mentioned in [1], answering the conjecture negatively in many cases.
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Marc Desgroseilliers, Olivier Lévêque, Camille Male. Managing Expectations: Freeness and the Fourier Matrix. Twelfth International Symposium on Wireless Communication Systems, Luc Vandendorpe and Jérôme Louveaux, Aug 2015, Bruxelles, Belgium. ⟨hal-01529534⟩

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