A novel free entropy functional χ_chron^U is defined using chronological formulas that is concave along Wasserstein geodesics and whose heat evolution satisfies the evolution variational inequality as the metric gradient flow.
A random matrix approach to the Peterson-Thom conjecture.Indiana Univ
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SYK models with partial interactions converge to mixed q-Gaussian laws that realize asymptotic ε-freeness through an isomorphism with graph products of diffusive abelian algebras.
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Free information geometry and the model theory of noncommutative stochastic processes
A novel free entropy functional χ_chron^U is defined using chronological formulas that is concave along Wasserstein geodesics and whose heat evolution satisfies the evolution variational inequality as the metric gradient flow.
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Limit joint distributions of SYK Models with partial interactions, Mixed q-Gaussian Models and Asymptotic $\varepsilon$-freeness
SYK models with partial interactions converge to mixed q-Gaussian laws that realize asymptotic ε-freeness through an isomorphism with graph products of diffusive abelian algebras.