Preprints

Local convergence for permutations and local limits for uniform ρ-avoiding permutations with |ρ|=3

We set up a new notion of local convergence for permutations and we prove a characterization in terms of proportions of consecutive pattern occurrences. We also characterize random limiting objects for this new topology introducing a notion of “shift-invariant” property (corresponding to the notion of unimodularity for random graphs). We then study two models in …

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