Decay of Correlations in Continuum Particle Systems (A03)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 470903074

Establishing versatile criteria for the decay of correlations in particle systems is a long-standing and fundamental problem in contemporary mathematical physics. The long-term goal of this project is to develop a novel and genuine continuum technique to prove decay of correlations in particle systems. To this end, we combine the well-established analytic approaches involving Witten Laplacians with techniques from stochastic geometry, in particular Stein and Stein-Malliavin methods. We work out this connection initially for one-dimensional hybrid lattice-continuum systems, and then extend the methodology to higher dimensional systems.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 352: Mathematics of Many-Body Quantum Systems and Their Collective Phenomena
• Applicant Institution: Ludwig-Maximilians-Universität München
• Project Heads: Professor Dr. Markus Heydenreich; Professorin Dr. Sabine Jansen