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This has been solved in a joint paper with a colleague that is forthcoming. The key is to consider an interpolating probability measure $\rho$ of $\mu$ and $\nu$ defined by $\rho_i = \mu_i \nu_i / \sum_j \max\{\mu_j, \nu_j\}$.
This has been solved in a joint paper with a colleague that is forthcoming.
This has been solved in a joint paper with a colleague that is forthcoming. The key is to consider an interpolating probability measure $\rho$ of $\mu$ and $\nu$ defined by $\rho_i = \mu_i \nu_i / \sum_j \max\{\mu_j, \nu_j\}$.
