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Research interests

• Regularisation by noise in ODEs and PDEs
• (Stochastic) fluid dynamics equations
• Rough paths
• McKean-Vlasov equations and interacting particle systems

Publications

• Galeati L., Harang F.A., Mayorcas A.: Distribution Dependent SDEs driven by additive fractional Brownian motion. Probab. Theory Relat. Fields (2022). https://doi.org/10.1007/s00440-022-01145-w
• Galeati L., Harang F.A., Mayorcas A.: Distribution Dependent SDEs driven by additive continuous noise. Electron. J. Prob. 27, 1-38 (2022). https://doi.org/10.1214/22-EJP756
• Flandoli, F., Galeati, L., Luo, D.: Eddy heat exchange at the boundary under white noise turbulence. Philos. Trans. Royal Soc. A 380, Issue 2219 (2022). https://doi.org/10.1098/rsta.2021.0096
• Galeati L., Gubinelli M.: Noiseless regularisation by noise. Rev. Mat. Iberoam. 38:2, pp. 433–502 (2022). DOI:10.4171/RMI/1280
• Flandoli, F., Galeati, L., Luo, D.: Delayed blow-up by transport noise. Comm. PDEs 46:9, 1757-1788 (2021). https://doi.org/10.1080/03605302.2021.1893748
• Galeati, L.: Nonlinear Young Differential Equations: A Review. J. Dyn. Diff. Equ. (2021). https://doi.org/10.1007/s10884-021-09952-w
• Flandoli, F., Galeati, L., Luo, D.: Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier–Stokes equations. J. Evol. Equ. 21, 567-600 (2021). https://doi.org/10.1007/s00028-020-00592-z
• Galeati, L.: On the convergence of stochastic transport equations to a deterministic parabolic one. Stoch PDE: Anal Comp 8, 833–868 (2020). https://doi.org/10.1007/s40072-019-00162-6

Preprints

• Galeati L., Gerencsér M.: Solution theory of fractional SDEs in complete subcritical regimes (2022) https://arxiv.org/abs/2207.03475 (submitted) 
• Galeati L., Luo D.: LDP and CLT for SPDEs with transport noise (2022) https://arxiv.org/abs/2201.09697 (submitted)
• Galeati L., Gubinelli M.: Mixing for generic rough shear flows (2021) https://arxiv.org/abs/2107.12115 (submitted)
• Flandoli, F., Galeati, L., Luo, D.: Quantitative convergence rates for scaling limit of SPDEs with transport noise (2021) https://arxiv.org/abs/2104.01740 (submitted)
• Galeati, L., Harang, F. A.: Regularization of multiplicative SDEs through additive noise (2020) arXiv:2008.02335 (accepted on Ann. Appl. Prob., available here)
• Galeati, L., Gubinelli, M.: Prevalence of ρ-Irregularity and Related Properties (2020) arXiv:2004.00872 (submitted)

Talks and Posters

• Grenoble, AMS-EMS-SMF International Meeting, 21 July 2022: Recent advances on regularisation of ODEs by fractional noise
• London, IMS Annual Meeting 2022, 29 June 2022: LDP and CLT for scaling limits of SPDEs with transport noise
• Bologna, Third Italian Meeting on Probability and Mathematical Statistics, 15 June 2022: Recent advances on SDEs with fractional noise
• Bonn Analysis group seminar, 20 May 2022: Mixing for generic rough shear flows (notes for the blackboard talk)
• Vienna Probability seminar, 14 April 2022: Scaling limits of SPDEs with transport noise
• Oberwolfach institute,  Mini-workshop: Regularization by Noise, 18 February 2022: Some recent advances on SDEs with fractional noise
• Paris, GDR TRAG Young Researchers Meeting, 3 December 2021: Some recent advances on SDEs with fractional noise
• Oslo, Workshop: Rough path techniques in stochastic analysis, 26 November 2021: Some recent advances on SDEs with fractional noise 
• EPFL, Analysis Seminar, 29 October 2021: Roughness of generic functions II: Prevalence of mixing and enhanced dissipation (slides)
• German Probability and Statistics Days Mannheim, 30 September 2021: Singular DDSDEs driven by additive fBm (slides, video) 
• Berlin, Rough Paths research unit seminar, 1 July 2021: Scaling limits of SPDEs with transport noise and applications (slides)
• Imperial College, Junior Analysis Seminar, 28 April 2021: Scaling limits of SPDEs with transport noise (slides)
• Oxford, Etheridge Group Seminar, 28 April 2021: Delayed blow-up by transport noise (slides)
• Brasil, Stochastic Analysis seminar UNICAMP, 19 March 2021: Delayed blow-up by transport noise (slides)
• CIRM Conference: Pathwise Stochastic Analysis and Applications, 8 March 2021: Distribution dependent SDEs driven by additive fBm (slides)
• 14th Berlin-Oxford Meeting, 10 February 2021: Inviscid mixing and enhanced dissipation for generic rough shear flows (slides)
• Trondheim, Rough Paths and SPDEs, 10 December 2020: Regularisation by noise and nonlinear Young integrals (slides)
• One World Symposium, August 2020, Prerecorded talk: Noiseless regularisation by noise (video, slides)
• Padova, Seminars in Probability and Finance, 26 June 2020: Regularisation by noise and notions of irregularity (slides)
• Berlin, Rough Paths research unit seminar, 25 June 2020: Regularisation by noise and notions of irregularity (slides)
• 13th Berlin-Oxford Meeting, 9 June 2020: Noiseless regularisation by noise (video, slides)
• Leipzig, AG Seminar, 5 June 2020: An analytic approach to regularisation by noise for ODEs (slides)
• Paris, LPSM PhD seminar, 1 June 2020: An averaging (path-by-path) approach to regularisation by noise for ODEs (slides)
• Lisbon, Particle systems and PDEs VIII, December 2019, Poster exhibition: Scaling Limit of stochastic 2D Euler to deterministic Navier-Stokes equations (poster)
• Delft, Probability PhD seminar, 4 November 2019:  Regularisation by noise for ODEs: an averaging (path-by-path) approach (slides)

Attended conferences and events

• Upcoming: SPDEvent, 7 - 9 September 2022, Bielefeld
• Upcoming: Interacting Particle Systems and Applications, 5 - 7 September 2022, Trento
• Upcoming: AMS-EMS-SMF Meeting 2022, 18 - 22 July 2022, Grenoble
• 2022 IMS Annual Meeting, 27 - 30 June 2022, London
• Third Italian Meeting on Probability and Mathematical Statistics, 13 - 16 June 2022, Bologna
• Jean-Morlet Chair Conference: Nonlinear PDEs in fluid mechanics, 9 - 13 May 2022, CIRM, Marseille
• Conference: Probability/PDE Interactions: Interface Models and Particle Systems,  25 - 29 April 2022, CIRM, Marseille
• Workshop: Frontiers in the Interplay between Probability and Kinetic Theory, 4 - 8 April 2022, ICMS, Edinburgh
• Oberwolfach Mini-workshop: Regularization by Noise: Theoretical Foundations,
  Numerical Methods and Applications, 14 - 19 February 2022, Oberwolfach Institute
• GDR TRAG Young Researchers Meeting, 3 December 2021, Paris
• Rough path techniques in stochastic analysis and mathematical probability, 25-26 November 2021, Oslo
• German Probability and Statistics Days Mannheim, 27 September - 01 October 2021 (fully online)
• Summer School and Workshop: PDE and randomness symposium, 1 - 10 September 2021, Bath (fully online)
• Workshop: SPDEs and their friends, 31 May - 2 June 2021 (fully online)
• CIRM Conference: Pathwise Stochastic Analysis and Applications, 8-12 March 2021 (fully online)
• 14th Annual Berlin-Oxford Young Researchers Meeting, 10-12 February 2021 (fully online)
• ICTS Program: Turbulence: Problems at the Interface of Mathematics and Physics, 7-18 December 2020 (fully online)
• Research Seminar: Rough paths and SPDEs, 10-11 December 2020, Trondheim
• Bernoulli-IMS One World Symposium, 24-28 August 2020 (fully online)
• One World Summer school: PDE and Randomness, 20-24 July 2020 (fully online)
• 13th Annual Berlin-Oxford Young Researchers Meeting, 8-10 June 2020 (fully online)
• Winter School: Turbulence in fluids and PDEs, 27-31 January 2020, Lausanne
• Workshop: Particle systems and PDEs VIII, 2-6 December 2019, Lisbon
• Trimester program: Randomness, PDEs and Nonlinear Fluctuations, September-December 2019, Bonn
• LMS Research school: Mathematics of Climate, 8-12 July 2019, Reading
• CIME Summer school: Progress in Mathematical Fluid Dynamics, 17-21 June 2019, Cetraro
• CIME Summer school: Mean field games, 10-14 June 2019, Cetraro
• Workshop: New Directions in Stochastic Analysis: Rough Paths, SPDEs and Related Topics, 18-22 March 2019, Berlin