Refereed papers and preprints [see also Google Scholar]


17. Caracciolo S., D’Achille M., GS, Anomalous scaling of the optimal cost in the one-dimensional random assignment problem, Journal of Statistical Physics, in press, 2018 (arXiv).

16. Benetti F.P.C., Parisi G., Pietracaprina F., GS, Mean-field model for the density of states of jammed soft spheres, Physical Review E 97, 062157, 2018 (arXiv).

15. Lucibello C., Malatesta E., Parisi G., GS, The Random Fractional Matching Problem, Journal of Statistical Mechanics, 053301, 2018 (arXiv).


14. Caracciolo S., D’Achille M.P., GS, Random Euclidean matching problems in one dimension, Physical Review E 96, 042102, 2017 (arXiv).

13. Caracciolo S., D’Achille M.P., Malatesta E., GS, Finite size corrections in the random assignment problem, Physical Review E 95, 052129, 2017 (arXiv).

12. GS and C. Tsallis, q-Generalized representation of the d-dimensional Dirac delta and q-Fourier transform, Physics Letters A, 381(32), 2583–2587, 2017 (arXiv).

11. Leo R.A., GS and P. Tempesta, A foundational approach to the Lie theory for fractional order partial differential equations, Fractional Calculus and Applied Analysis, 20(1), 212-231, 2017 (arXiv).

10. Lucibello C., Parisi, G. and GS, One-loop diagrams in the Random Euclidean Matching Problem, Physical Review E, 95(1), 012302, 2017 (arXiv).


9. GS, Rapčan P. and C. Tsallis, Nonlinear inhomogeneous Fokker-Planck equations: entropy and free-energy time evolution, Physical Review E, 94(6), 062117, 2016 (arXiv).

8. GS, Bagchi D. and C. Tsallis, On the connection between linear combination of entropies and linear combination of extremizing distributions, Physics Letters A, 380, 2025-2030, 2016 (arXiv).

7. GS and P. Tempesta, Groups, information theory and Einstein’s likelihood principle, Physical Review E (Rapid Communication), 93(4), 040101(R), 2016 (arXiv).


6. Caracciolo S. and GS, Quadratic stochastic Euclidean bipartite matching problem, Physical Review Letters, 115, 230601, 2015 (arXiv).

5. GS, Tempesta P., Rodríguez A. and Tsallis C., On the robustness of the q-Gaussian family, Annals of Physics 363, 316-336, 2015 (arXiv).

4. Caracciolo S. and GS, Scaling Hypothesis for the Euclidean Bipartite Matching Problem II. Correlation Functions, Physical Review E, 91, 062125, 2015 (arXiv).


3. Caracciolo S. and GS, One dimensional Euclidean matching problem: Exact solutions, correlation functions and universality, Physical Review E, 90, 042112, 2014 (arXiv)

2. Caracciolo S., Lucibello C., Parisi G. and GS, Scaling Hypothesis for the Euclidean Bipartite Matching Problem, Physical Review E, 90, 012118, 2014 (arXiv; prof. Mertens wrote an introduction to the results for Physics)

1. Leo R.A., GS and P. Tempesta, A Theorem on the Existence of Symmetries of Fractional PDEs, presented by P.-L. Lions, Comptes Rendus Mathematique, 352(3), 219-222, 2014 (arXiv).


  1. The Euclidean Matching Problem, Springer Theses, 2017.