Asymptotic expansions in 1/N² are established for traces and transport maps in multimatrix models with convex potentials, implying strong convergence.
The spectrum of a tensor of random and deterministic matrices.arXiv preprint arXiv:2410.04481, 2024
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For any hyperbolic group G, every amenable subalgebra Q of L(G) that intersects L(H) diffusely for an infinite maximal amenable subgroup H is contained in L(H); the result extends to acylindrically hyperbolic groups.
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Asymptotic expansion for transport maps between laws of multimatrix models
Asymptotic expansions in 1/N² are established for traces and transport maps in multimatrix models with convex potentials, implying strong convergence.
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For any hyperbolic group G, every amenable subalgebra Q of L(G) that intersects L(H) diffusely for an infinite maximal amenable subgroup H is contained in L(H); the result extends to acylindrically hyperbolic groups.
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