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math.PR2024
An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions
Hugo Duminil-Copin, Romain Panis
This article proposes a new way of deriving mean-field exponents for the weakly self-avoiding walk model in dimensions . Among other results, we obtain up-to-constant estimate…
math.PR2024
An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions
Hugo Duminil-Copin, Romain Panis
This article proposes a new way of deriving mean-field exponents for sufficiently spread-out Bernoulli percolation in dimensions . We obtain an upper bound for the full-space…