I am interested in probability theory, in its interplay with analysis and geometry and in problems arising from AI and ML.   Particularly I am interested in:

• the Schrödinger Bridge Problem (SP) and its relationship with  (Entropic) Optimal Transport,

• Optimal Transport point of view in (Diffusion) Generative Modelling,

• Random Fields and their relation with ML/GenAI,

• stochastic optimal control problems: long-time behaviour and exponential ergodicity,

• high-dimensional probability.

• G. Greco.
  A Malliavin-Gamma calculus approach to Score Based Diffusion Generative models for random fields
  arXiv:2505.13189 (05/2025) - Accepted in INDAM-Springer volume  Analysis and Geometry of Random Fields

• G. Greco, L. Tamanini.
  Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity
  arXiv:2504.11133 (04/2025) - Accepted in Bernoulli

• A. Chiarini, G. Conforti, G. Greco, L. Tamanini.
  A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm
  arXiv:2412.09235 (12/2024)

• G. Conforti, A. Durmus, G. Greco.
  Quantitative contraction rates for Sinkhorn algorithm: beyond bounded costs and compact marginals
  arXiv:2304.04451 (04/2023)

• G. Greco, M. Noble, G. Conforti, A. Durmus.
  Non-asymptotic convergence bounds for Sinkhorn iterates and their gradients: a coupling approach
  Proceedings of Thirty Sixth Conference on Learning Theory (COLT 2023)  in  PMLR 195:716-746 (2023)

• A. Chiarini, G. Conforti, G. Greco, L. Tamanini.
  Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability
  Communications in Partial Differential Equations 48:6, 895-943 (2023)

• A. Chiarini, G. Conforti, G. Greco, Z. Ren.
  Entropic turnpike estimates for the kinetic Schrödinger problem
  Electron. J. Probab. 27: 1-32 (2022)