26 citations · 49 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2016★ 10 cited
One-loop diagrams in the Random Euclidean Matching Problem
Carlo Lucibello, Giorgio Parisi, Gabriele Sicuro
The matching problem is a notorious combinatorial optimization problem that has attracted for many years the attention of the statistical physics community. Here we analyze the Euc…
cond-mat.stat-mech2016★ 13 cited
Nonlinear inhomogeneous Fokker-Planck equations: entropy and free-energy time evolution
Gabriele Sicuro, Peter Rapčan, Constantino Tsallis
We extend a recently introduced free-energy formalism for homogeneous Fokker-Planck equations to a wide, and physically appealing, class of inhomogeneous nonlinear Fokker-Planck eq…
cond-mat.dis-nn2014★ 26 cited
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…