Ricerc@Sapienza

Understanding classical and quantum systems can be often cast in the form of an optimization problem. The present research project stands on the recent achievements obtained in the field by the participants and is focused on three topics:
- Spectral gap of Markov chains on finite graphs
- Jamming transition in high dimension
- Quantum nonequilibrium stationary states
Whereas the last topic refers to genuine quantum systems, the former two have a more abstract nature and finds application to various problems, from computer science to biological systems. Besides the technical advancements described in detail in the project, we expect another type of goal. The addressed topics are, in fact, problems of nonequilibrium statistical mechanics and, as a by-product, we expect to bring out unifying points of views and cross-fertilization effects.