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Mixtures of classical and free independence

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arxiv 1603.08758 v3 pith:2SHF3YTF submitted 2016-03-29 math.OA math.PR

Roland Speicher , Janusz Wysoczanski This is my paper · ORCID
classification math.OAmath.PR
keywords classicalfreeindependencemixtureswillalgebrasconceptconsidered
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We revive the concept of Lambda-freeness of Mlotkowski, which describes a mixture of classical and free independence between algebras of random variables. In particular, we give a description of this in terms of cumulants; this will be instrumental in the subsequent paper [SW] where the quantum symmetries underlying these mixtures of classical and free independences will be considered.

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  1. Energy dynamics in a class of local random matrix Hamiltonians

    cond-mat.stat-mech 2025-02 conditional novelty 7.0 of 10

    Energy dynamics in a class of local random matrix Hamiltonians is exactly mapped, in a large local Hilbert space limit, to single-particle hopping on a lattice or Bethe tree.

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