Logarithmic Sobolev Inequalities: A review on stability and instability results
G. Brigati, J. Dolbeault, N. Simonov, La Matematica 5 (2026).

Nonlinear Dirichlet forms, energy spaces, and calculus rules
G. Brigati, La Matematica 5 (2026).

From kinetic theory to AI: A rediscovery of high-dimensional divergences and their properties
G. Auricchio, G. Brigati, P. Giudici, G. Toscani, Mathematical Models and Methods in Applied Sciences 36 (2026) 1185–1233.

Hypocoercivity meets lifts
G. Brigati, F. Lörler, L. Wang, Kinetic and Related Models 20 (2026) 34–55.

Multivariate Gini-type discrepancies
G. Auricchio, G. Brigati, P. Giudici, G. Toscani, Mathematical Models and Methods in Applied Sciences 35 (2025) 1267–1296.

How to construct explicit decay rates for kinetic Fokker–Planck equations?
G. Brigati, G. Stoltz, SIAM Journal on Mathematical Analysis 57 (2025) 3587–3622.

Heat flow, log-concavity, and Lipschitz transport maps
G. Brigati, F. Pedrotti, Electronic Communications in Probability 30 (2025).

Kinetic Optimal Transport (OTIKIN) -- Part 1: Second-order discrepancies between probability measures
G. Brigati, J. Maas, F. Quattrocchi, ArXiv (n.d.).

Stability for the logarithmic Sobolev inequality
G. Brigati, J. Dolbeault, N. Simonov, Journal of Functional Analysis 287 (2024).

Heat flow, log-concavity, and Lipschitz transport maps
G. Brigati, F. Pedrotti, ArXiv (n.d.).