My research interests lie at the interface between probability and PDEs and their applications to physics or finance, with particular focus on models which involve Lévy-type processes or integro-partial differential operators. More precisely:
Regularisation by noise: properties of SDEs driven by jump processes, Kolmogorov-type systems
Regularity theory for evolution equations: Schauder and Sobolev-type estimates, non-local operators, hypoellipticity
Scaling limits for jump processes: stochastic homogenization for integro-differential operators, asymptotic behaviour for kinetic models
Stochastic fluid dynamics: Turbulence modeling, SPDEs in Fluid dynamics
You can also find me on arXiv, Google Scholar, Mathscinet, ORCID and ResearchGate.
Cifani, Flandoli, Marino. Anomalous diffusion properties of stochastic transport by heavy-tailed jump processes. Arxiv Preprint:2602.21097, 2026.
Klimsiak, Komorowski, Marino. Homogenization of stable-like operators with random, ergodic coefficients. Journal of Differential Equations, 10.1016/j.jde.2025.02.054, 2025.
Marino, Menozzi, Priola. About the regularity of degenerate non-local Kolmogorov operators under diffusive perturbations. Proceedings of INdAM Meeting ”Kolmogorov Operators and their applications”, Springer INdAM series,10.1007/978-981-97-0225-1_8, 2024.
Bogdan, Komorowski, Marino. Anomalous diffusion limit for a kinetic equation with a thermostatted interface. Probability Theory and related Fields, 0.1007/s00440-023-01251-3, 2023.
Marino, Menozzi. Weak well-posedness for a class of degenerate Lévy-driven SDEs with Hölder continuous coefficients. Stochastic Processes and their applications, 10.1016/j.spa.2023.04.012, 2023.
Marino, Menozzi, Priola. Poisson process and sharp constants in Lp and Schauder estimates for a class of degenerate Kolmogorov operators. Studia Mathematica, 10.4064/sm210819-13-4, 2022.
Marino. Schauder estimates for degenerate Lévy Ornstein-Uhlenbeck operators. Journal of Mathematical Analysis and Applications, 500(1):125168, 2021.
Marino. Schauder estimates for degenerate stable Kolmogorov equations. Bulletin des Sciences Mathématiques, 162:102885, 98, 2020.
2021 - Ph.D. thesis: Weak regularisation by degenerate Lévy noise and its applications.
Supervisor: Stéphane Menozzi (Université Paris-Saclay) and Enrico Priola (Università degli studi di Pavia).
2017 - Master thesis: Transport equations with low regularity vector fields.
Supervisor: Xue-Mei Li (Warwick University).
2016 - Bachelor thesis: Disintegration theorem and its application to conditional probabilities.
Supervisor: Ernesto De Vito (Università di Genova).