74 citations · 429 across the 31 of their papers we have counts for
4 papers · 1 filter
On the one dimensional Euclidean matching problem: exact solutions, correlation functions and universality
Sergio Caracciolo, Gabriele Sicuro
We discuss the equivalence relation between the Euclidean bipartite matching problem on the line and on the circumference and the Brownian bridge process on the same domains. The e…
A foundational approach to the Lie theory for fractional order partial differential equations
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta
We provide a general theoretical framework allowing us to extend the classical Lie theory for partial differential equations to the case of equations of fractional order. We propos…
A Theorem on the Existence of Symmetries of Fractional PDEs
Rosario Antonio Leo, Gabriele Sicuro, Piergiulio Tempesta
We propose a theorem that extends the classical Lie approach to the case of fractional partial differential equations (fPDEs) of the Riemann--Liouville type in (1+1) dimensions.
Scaling hypothesis for the Euclidean bipartite matching problem
Sergio Caracciolo, Carlo Lucibello, Giorgio Parisi +1
We propose a simple yet very predictive form, based on a Poisson's equation, for the functional dependence of the cost from the density of points in the Euclidean bipartite matchin…