My research deals with ergodic theory for stochastic PDEs. I am particularly driven by problems with applications to geophysical fluid dynamics, weather and climate. I am also interested in the application of statistical mechanics techniques to these problems.
I have recently started a postdoc with professor Glatt-Holtz (IUB) focusing on the application of techniques from infinite dimensional ergodic theory to Monte Carlo methods and Bayesian inverse problems.
M. Santos Gutiérrez, N. Zagli, G. Carigi, Markov matrix perturbations to optimize dynamical and entropy functionals, (2025) ArXiv
J. Broecker, G. Carigi, T. Kuna, V.R.Martinez, Reconstruction of wide spectrum forcing in transport-diffusion and Navier-Stokes equations, (2025) ArXiv
G. Carigi, T. Kuna, J. Broecker, Linear and fractional response for nonlinear dissipative SPDEs, Nonlinearity, 37 105002 (2024) https://doi.org/10.1088/1361-6544/ad6bdd
G. Carigi, E. Luongo, Dissipation properties of transport noise in the two-layer quasi-geostrophic model, J. Math. Fluid Mech., 25, 28 (2023) https://doi.org/10.1007/s00021-023-00773-z
G. Carigi, J. Broecker, T. Kuna, Exponential ergodicity for a stochastic two–layer quasi–geostrophic model, Stochastics and Dynamics, (2022), https://doi.org/10.1142/S0219493723500119
Carigi, G. (2021) Ergodic properties and response theory for a stochastic two–layer model of geophysical fluid dynamics. PhD thesis, University of Reading, doi.org/10.48683/1926.00102181
Hanlon, H.M., Bernie, D., Carigi, G. et al. Future changes to high impact weather in the UK, Climatic Change, 166, 50 (2021) https://doi.org/10.1007/s10584-021-03100-5
[ Read the Met Office Press Release on this study here ]
Department of Statistics
Swain Hall East Room 311
Indiana University
Bloomington, IN, USA