2 problems

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Extension of the graphon equivalence characterisation to sigma-finite spaces
Sigma-finite extension conjecture. The preceding characterisation of equivalent graphons should extend, in some form, to the case of $\sigma$ -finite spaces.
Problemopencut-metric graphons measure-theoryarXiv posted 2 days ago
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Rearrangement conjecture for cut-metric convergence of kernels
Let $\kappa$ be a kernel, and let $(A_n)$ be a sequence of non-negative symmetric matrices, where each $A_n$ is $n$ -by- $n$ , such that … A rearrangement $B_n$ of $A_n$ is obtained b…
Conjectureopencut-metric graphons random-graphsarXiv posted 2 days ago

Extension of the graphon equivalence characterisation to sigma-finite spaces