=====MARINO Lorenzo====
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<wrap second colum> Doctorant \\
Université d'Évry Val d'Essonne \\
Laboratoire de Mathématiques et Modélisation d'Évry (UMR 8071) \\
I.B.G.B.I 23 Bd. de France, 91037 Évry Cedex \\
☎  +33 (0) 1 64 85 35 60   \\
Mail: lorenzo.marino@univ-evry.fr \\
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[[https://orcid.org/0000-0002-1437-2054 | orcidId:0000-0002-1437-2054]]

==== About me ====

I am a PhD student since October 2018 under the supervision of Stéphane Menozzi (Université d'Évry Val d’Essonne - Paris Saclay) and Enrico Priola (Università degli studi di Pavia).\\
My thesis is dedicated to study phenomena restoring uniqueness for some ill-posed ODEs. The idea is to perturb the dynamics by a noise acting only on some components of the ODE and propagating through the other ones thanks to a weak Hörmander like condition, as in the framework of Kolmogorov degeneracy. The noise we consider is a jump Lévy process (integro-differential framework for the generator of the noise). We are particularly interested in the minimal regularity assumptions on the coefficients leading to the weak well-posedness of the associated SDE. As an application, we apply our method to a Hamiltonian model arising from a mechanical problem involving friction.

==== Research themes ===

  *  Stochastic Analysis: Regularization by Noise, Degenerate systems, Lévy jump noises
  * PDE techniques: A priori Estimates, Schauder Estimates, Well-posedness for Integro-Partial Differential equations

==== Publications ====
  * L. Marino, S. Menozzi, E. Priola [[https://arxiv.org/abs/2107.06012 | Poisson process and sharp constants in Lp and Schauder estimates for a class of degenerate Kolmogorov operators]] (2021). ArXiv Preprint. \\
  * L. Marino, S. Menozzi, [[https://arxiv.org/abs/2107.04325 | Weak well-posedness for degenerate SDEs driven by Lévy processes]] (2021). ArXiv Preprint. \\
  * L. Marino, [[https://arxiv.org/abs/2010.06704 |Schauder estimates for degenerate Lévy Ornstein-Uhlenbeck operators]]. [[https://doi.org/10.1016/j.jmaa.2021.125168| Journal of Mathematical Analysis and Applications, 500(1):125168, 37 pp., 2021]]. \\
  * L. Marino, [[https://arxiv.org/abs/1910.03653 | Schauder estimates for degenerate stable Kolmogorov equations]]. [[https://www.sciencedirect.com/science/article/pii/S0007449720300555 | Bulletin des Sciences Mathématiques, 162:102885, 98 pp., 2020]]. \\

==== Talks ====

  * Potential Theory and Hypocoercivity Approaches for Kinetic Equations (Università di Modena e Reggio Emilia) 2 February 2021 : Schauder estimates for degenerate Lévy Kolmogorov equations. \\
  * Se mi Narri di Matematica, PhD workshop (Università di Pavia) 24 April 2020 : Better if Random! An introduction to the regularization by noise. \\
  * LSA Winter Meeting 2019 (Higher school of Economics (HSE), Moscow) 6 December 2019 : Weak well-posedness for  a class of degenerate SDEs driven by stable processes. \\
  * Second Italian Meeting on Probability and Mathematical Statistics (Vietri sul Mare, Italy) 20 June 2019 : Weak well-posedness for degenerate SDEs driven by stable processes. \\
  * Perturbation Techniques in Stochastic Analysis and Its Applications (Centre International de Rencontres Mathematiques (CIRM), Marseille) 15 March 2019 : Schauder estimates for degenerate stable Ornstein-Uhlenbeck operators. \\

==== Thesis ====
  * Master thesis "Transport Equations with Low Regularity Vector Fields" under the supervision of Xue-Mei Li (Warwick University) {{:members:lmarino:report.pdf|Master Thesis}} \\
  * Bachelor Thesis "Disintegration Theorem and its Application to Conditional Probabilities" under the supervision of Ernesto De Vito (Università di Genova) {{:members:marino:UndThesis.pdf|Bachelor Thesis}}\\
 

==== Teaching ====

  * 2020-2021 : Teaching assistant for Mathematics and Statistics, department of Biology and Biotechnology, Università di Pavia.\\
  * 2019-2020 : Teaching assistant for Mathematical Analysis 2, department of Civil Engineering and Architecture, Università di Pavia.\\
  * 2019-2020 : Teaching assistant for Complements of Mathematical Analysis and Statistics, department of Industrial Engineering, Università di Pavia.\\
  * 2018-2019 : Teaching assistant for Analysis 1, Algebra 1, Linear Algebra and Analytic Geometry, department of Mathematics, Università di Genova.\\