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.
Mixtures of classical and free independence
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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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Energy dynamics in a class of local random matrix Hamiltonians
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.