Research

G.Conforti, Weak semiconvexity estimates for Schrödinger potentials and logarithmic Sobolev inequality for Schrödinger bridges, Probability Theory and Related Fields, arxiv

A.Chiarini, G.Conforti, G.Greco, L.Tamanini, Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability,  accepted in Communications in Partial Differential Equations, arxiv

J.Backhoff, G.Conforti, I.Gentil, C. Léonard, The mean field Schroedinger problem: ergodic behavior, entropy estimates and functional inequalities, Probability Theory and Related Fields, arxiv, journal

J.Backhoff, M. Beiglboeck, G.Conforti, A non linear monotonicity principle and applications to Schroedinger type problems, Bullettin of the London Mathematical Society, arxiv 

G.Clerc, I.Gentil, G.Conforti, Long time behaviour of entropic interpolations, Potential Analysis, arxiv

G.Conforti and L.Tamanini, A formula for the time derivative of the entropic cost and applications, Journal of Functional Analysis, arxiv

G.Conforti, M.Pavon, Extremal flows on Wasserstein space, Journal of Mathematical Physics, arxiv, journal

G.Conforti, A second order equation for Schroedinger bridges with applications to the hot gas experiment and entropic transportation cost, Probability Theory and Related Fields, arxiv, journal

G.Conforti, D.Lacker, S.Pal, Projected Langevin dynamics and a gradient flow for entropic optimal transport, arxiv

G.Conforti, A.Durmus, M.Gentiloni-Silveri, Score diffusion models without early stopping: finite Fisher information is all you need, arxiv

G.Conforti, A.Durmus, G.Greco: Quantitative contraction rates for Sinkhorn algorithm: beyond bounded costs and marginals, arxiv

G. Greco, M. Noble, G. Conforti, A. Durmus: Non-asymptotic convergence bounds for Sinkhorn iterates and their gradients: a coupling approach, accepted in 36th Annual Conference on Learning Theory (COLT 2023), arxiv

J.Claisse, G.Conforti, Z.Ren, S.Wang, Mean Field Optimization Problem Regularized by Fisher Information, arxiv

A. Kazeykina, G.Conforti, Z.Ren, Game on Random Environment, Mean-field Langevin System and Neural Networks, Mathematics of Operations Research, arxiv

Y.Chen, G.Conforti, T.Georgiou, Measure-valued spline curves: an optimal transport viewpoint, SIAM Journal on Mathematical Analysis, arxiv, journal

G.Clerc, I.Gentil, G.Conforti, On the variational interpretation of local logarithmic Sobolev inequalities,  Annales de la Faculté des Sciences de Tolouse, arxiv

G.Conforti,  A probabilistic approach to convex (ϕ)-entropy decay for Markov chains, Annals of Applied Probability, arxiv

G.Conforti, L.Ripani, Around the entropic Talagrand inequality, Bernoulli, arxiv, journal

G.Conforti, Coupling by reflection for controlled diffusion processes: turnpike property and large time behavior of Hamilton Jacobi Bellman equations, Annals of Applied Probability, arxiv

A.Chiarini, G.Conforti, G.Greco, Z.Ren, Entropic turnpike estimates for the kinetic Schrödinger problem, Electronic Journal of Probability, arxiv

G.Conforti, R. Kraaij, L.Tamanini, D.Tonon, Hamilton-Jacobi equation for Wasserstein controlled gradient flows: existence of viscosity solutions, arxiv

G.Conforti, R.Kraaij, D.Tonon, Hamilton-Jacobi equation for controlled gradient flows: cylindrical test functions, arxiv

G.Conforti, R.Kraaij, D.Tonon, Hamilton-Jacobi equations for controlled gradient flows: the comparison principle,  Journal of Functional Analysis, arxiv

G.Conforti, C.Léonard, Time reversal of Markov processes with jumps under a finite entropy condition, Stochastic Processes and Applications, arxiv

P.Cattiaux, G.Conforti, I.Gentil, C.Léonard, Time reversal of diffusion processes under a finite entropy condition,  Annales de l'Institut Henri Poincaré, arxiv

G.Conforti, M.Von Renesse, Couplings, gradient estimates and Logarithmic Sobolev inequalities for Langevin bridges, Probability Theory and Related Fields, arxiv, journal

G.Conforti, Fluctuations of bridges, reciprocal characteristics and concentration of measure, Annales de l'Institut Henri Poincaré, arxiv, journal

G.Conforti, Bridges of Markov counting processes:quantitative estimates, Electronic Communications in Probability, arxiv, journal

G.Conforti, C.Léonard, Reciprocal classes of random walks on graphs, Stochastic Processes and Applications, arxiv, journal

G.Conforti, S.Roelly, Bridge mixtures of random walks on an Abelian group, Bernoulli, arxiv,journal

G.Conforti, C.Leonard, R.Murr, S.Roelly, Bridges of Markov counting processes. Reciprocal class and duality formulae, Electronic Communications in Probability, arxiv, journal

G.Conforti, P.dai Pra, S.Roelly, Reciprocal class of jump processes,  Journal of Theoretical Probability, arxiv, journal

G.Conforti, T.Kosenkova, S.Roelly, Conditioned point processes with application to Levy bridges,  Journal of Theoretical Probability, arxiv, journal

G.Conforti, S. De Marco, J.D.Deuschel, On small noise equation with degenerate limiting system arising from volatility model, Large Deviations and asymptotic methods in finance, arxiv, book