Giovanni Conforti

My research interests are in probability theory. Some topics I investigate are

• Stochastic optimal mass transport problems inspired by large deviations theory such as the Schrödinger problem

• Exponential trend to equilibrium for Markov processes and functional inequalities

• Turnpike phenomenon in stochastic control

• Stochastic algorithms in machine learning and optimal transport. For example, score-based diffusion models and Sinkhorn's algorithm.

• Infinite-dimensional Hamilton-Jacobi equations for controlled gradient flows and mean field control.