# Asymptotic resolvents of a product of two marginals of a random tensor

@article{Dartois2019AsymptoticRO, title={Asymptotic resolvents of a product of two marginals of a random tensor}, author={St{\'e}phane Dartois}, journal={arXiv: Mathematical Physics}, year={2019} }

Random tensors can be used to produce random matrices. This idea is, for instance, very natural when one studies random quantum states with the aim of exploring properties that are generically true, or true with some probability. We hereby study the moments generating function, in the sense of the Stieltjes transform - i.e. the resolvent -, of a random matrix defined as a product of two different marginals of the same random tensor. We study the resolvent in two different asymptotical regimes…

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