Research interests

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

Publications

Preprints

  • 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)
  • Galeati L., Harang F.A., Mayorcas A.: Distribution Dependent SDEs driven by additive fractional Brownian motion (2021) https://arxiv.org/abs/2105.14063 (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

  • Vienna Probability seminar, 14 April 2022: Scaling limits of SPDEs with transport noise (slides)
  • 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 (videoslides)
  • 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: 2022 IMS Annual Meeting, 27 - 30 June 2022, London
  • Upcoming: Third Italian Meeting on Porbability and Mathematical Statistics, 13 - 16 June 2022, Bologna
  • Upcoming: 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

News

Florian Schweiger erhielt den Hausdorff-Gedächtnispreis 2021 der Fachgruppe Mathematik für die beste Dissertation. Er fertigte die Dissertation unter der Betreuung von Prof. Stefan Müller an. Unter anderen wurde Vanessa Ryborz mit einem Preis der Bonner Mathematischen Gesellschaft für ihre von Prof. Sergio Conti betreute Bachelorarbeit ausgezeichnet. (18.01.2022)

Prof. Dr. Sergio Albeverio has been elected into the Academia Europaea and the Accademia Nazionale dei Lincei (more; 02.12.2021).

Der SFB 1060 Die Mathematik der emergenten Effekte hat eine dritte Förderperiode erhalten. (26.11.20)

Prof. Dr. Andreas Eberle erhält den diesjährigen Lehrpreis der Universität Bonn. (22.07.2020)

Herr Dr. Richard Höfer erhielt den Hausdorff-Gedächtnispreis 2019 der Fachgruppe Mathematik für die beste Disseration. Betreut wurde die Arbeit von Prof. J. Velázquez (29.01.2020).

Contact

Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
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Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany