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

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

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 (2026).

Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions
F. Quattrocchi, Calculus of Variations and Partial Differential Equations 65 (2026).

Polyharmonic fields and Liouville quantum gravity measures on tori of arbitrary dimension: From discrete to continuous
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Mathematische Nachrichten 298 (2025) 244–281.

Contractive coupling rates and curvature lower bounds for Markov chains
F. Pedrotti, The Annals of Applied Probability 35 (2025) 196–250.

Le-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal model
K. Khudiakova, J. Maas, F. Pedrotti, The Annals of Applied Probability 35 (2025) 1913–1940.

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).

Boundary representations of intermediate forms between a regular Dirichlet form and its active main part
M. Keller, D. Lenz, M. Schmidt, M. Schwarz, M. Wirth, Potential Analysis 64 (2025).

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

Operator-valued twisted Araki–Woods algebras
R.R. Kumar, M. Wirth, Communications in Mathematical Physics 406 (2025).

Genetic load, eco-evolutionary feedback, and extinction in metapopulations
O.O. Olusanya, K. Khudiakova, H. Sachdeva, The American Naturalist 205 (2025) 617–636.

Optimal transport methods for kinetic equations, boundary value problems, and discretization of measures
F. Quattrocchi, Optimal Transport Methods for Kinetic Equations, Boundary Value Problems, and Discretization of Measures, Institute of Science and Technology Austria, 2025.

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

Wasserstein geometry and Ricci curvature bounds for Poisson spaces
L. Dello Schiavo, R. Herry, K. Suzuki, Journal de l’Ecole Polytechnique - Mathematiques 11 (2024) 957–1010.

Conformally invariant random fields, Liouville quantum gravity measures, and random Paneitz operators on Riemannian manifolds of even dimension
L. Dello Schiavo, R. Herry, E. Kopfer, K.T. Sturm, Journal of the London Mathematical Society 110 (2024).

Some convexity and monotonicity results of trace functionals
H. Zhang, Annales Henri Poincare 25 (2024) 2087–2106.

Noncommutative Bohnenblust–Hille inequalities
A. Volberg, H. Zhang, Mathematische Annalen 389 (2024) 1657–1676.

Improved convergence of score-based diffusion models via prediction-correction
F. Pedrotti, J. Maas, M. Mondelli, in:, Transactions on Machine Learning Research, 2024.