Dear colleagues, We are pleased to announce the upcoming StatPhys29 Satellite Conference: "Non-equilibrium statistical physics: mathematical and physical advances", Florence 21-25 July 2025: https://sites.google.com/view/nesp-2025 Research on non-equilibrium statistical physics has been developing rapidly and today represents a theme of growing interest worldwide. Fundamental ideas, methods and techniques have gradually made their way from statistical physics into probability theory and mathematical physics, where they lead to new problems and new solutions. This crossroad has developed into a very active research area over the past 10 years. In the proposed workshop the focus is on common concepts and tools and on the surprising new connections that have become available recently. Key topics that will be addressed at the conference are: (1) Non-equilibrium steady states of classical, quantum, and stochastic systems; (2) KPZ universality; (3) integrable quantum dynamics; (4) hydrodynamic limit and large deviations; (5) anomalous transport. The satellite meeting aims at gathering major experts in these fields, with the goal of exchanging ideas and setting the stage for further progress. Registration Details: This Satellite Conference is open to everybody. There is the possibility of a few contributed talks. • Deadline: April 30, 2025. • Please register via https://sites.google.com/view/nesp-2025 • There is no registration fee. Feel free to share this invitation with anyone who may be interested. Best regards, L. Avena, F. Colomo, C. Giardina', P. Goncalvez, F. Essler, T. Sasamoto, H. Spohn.