Research

Research grants

• 2024-2027. Principal Investigator (PI) of the project Spatial coagulation and gelation (jointly with Prof. Dr. W. König).  The project, which is part of the SPP2265-priority program was funded by the DFG (Deutsche Forschungsgemeinschaft).

Research interests

Statistical mechanics, stochastic processes, random walks on random environments, large deviations, limit theorems for random graphs, phase transitions, coagulation processes, exponential random graphs.

Ph.D. thesis

E. M. “A Monte Carlo method for large deviations applied to Erdős-Rényi random graphs”. Ph.D. thesis. Department of Physics, Informatics and Mathematics, University of Modena and Reggio Emilia, 2019.

Journal articles

1. B. Corradini, M. Alù, E. M., M. E. Galinier, and E. Silingardi. “The importance of forensic storage support: DNA quality from 11-year-old saliva on FTA cards”. International journal of legal medicine 133 (2019), pp. 1743–1750. DOI: 10.1007/s00414-019-02146-6.

2. C. Giardinà, C. Giberti, and E. M. “Approximating the cumulant generating function of triangles in the Erdős-Rényi random graph”. J. Stat. Phys. 182 (2021), pp. 1–22. DOI: 10.1007/s10955-021-02707-3.

3. S. Stivanello, G. Bet, A. Bianchi, M. Lenci, and E. M. “Limit theorems for Lévy flights on a 1D Lévy random medium”. Electron. J. Probab. 26 (2021), pp. 1–25. DOI: 10.1214/21-ejp626. 

4. A. Bianchi, F. Collet, and E. M. “The GHS and other correlation inequalities for the two-star model”. ALEA Lat. Am. J. Probab. Math. Stat. 19 (2022), pp. 1679–1695. DOI: 10.30757/alea.v19-64. 

5. A. Bianchi, F. Collet, and E. M. “Limit theorems for exponential random graphs”. Ann. Appl. Probab. 34 (2024), pp. 4863-4898. DOI: 10.1214/24-aap2084. 

6. E. M., and G. Passuello. “Statistics for the triangle density in ERGM and its mean-field approximation”. J. Stat. Phys. 192 (2025), pp. 1–31.  DOI: 10.1007/s10955-025-03430-z.

7. L. Andreis, T. Iyer, and E. M. “Gelation in cluster coagulation processes”. To appear in Ann. Inst. H. Poincaré Probab. Statist (2025). (arXiv version: arxiv.org/abs/2308.10232).

Preprints

1. M. Gösgens, L. Lüchtrath, E. M., M. Noy, and É. de Panafieu. "The Erdős-Rényi random graph conditioned on every component being a clique”, arxiv.org/abs/2405.13454 (2024).

2. L. Andreis, T. Iyer, and E. M. “Convergence of cluster coagulation dynamics”, arxiv.org/abs/2406.12401 (2024).