Search Results for author: Andrea Sportiello

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Random assignment problems on ${2d}$ manifolds

no code implementations4 Aug 2020 Dario Benedetto, Emanuele Caglioti, Sergio Caracciolo, Matteo D'Achille, Gabriele Sicuro, Andrea Sportiello

In this paper, we show that, within the linearization approximation of the field-theoretical formulation of the problem, the first $\Omega$-dependent correction is on the constant term, and can be exactly computed from the spectrum of the Laplace--Beltrami operator on $\Omega$.

Mathematical Physics Disordered Systems and Neural Networks Mathematical Physics Probability

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