Limit theorems in bi-free probability theory
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DOI: 10.1007/s00440-017-0825-6
Abstract: In this paper additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi-free pairs of self-adjoint commuting random variables in an infinitesimal triangular array are determined. These… read more here.
Keywords: probability; theory; limit theorems; theorems free ... See more keywords
Eigenstate Thermalization Hypothesis and Free Probability.
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DOI: 10.1103/physrevlett.129.170603
Abstract: Quantum thermalization is well understood via the eigenstate thermalization hypothesis (ETH). The general form of ETH, describing all the relevant correlations of matrix elements, may be derived on the basis of a "typicality" argument of… read more here.
Keywords: eigenstate thermalization; free probability; thermalization; thermalization hypothesis ... See more keywords