| Abstract: |
| The level two large deviation rate functional for a Markov process is closely related to its long-time behavior. When the process exhibits metastability, in particular a hierarchical structure across multiple time scales, this metastable behavior can be characterized through a Gamma expansion of the rate functional as established in Bertini, Gabrielli and Landim (Ann. Appl. Probab. 34(4): 3820-3869, 2024). In this talk, we discuss the Gamma expansion of the large deviation rate functional for reversible diffusion processes. This talk is based on joint work with Claudio Landim and Mauro Mariani. |
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