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- FIELD
- Math:Analysis
- DATE
-
Mar 28 (Fri), 2025
- TIME
- 10:00 ~ 11:30
- PLACE
- 수림(204)
- SPEAKER
- Kim, Seonwoo
- HOST
- Kang, Nam-Gyu
- INSTITUTE
- Yonsei University
- TITLE
- $\Gamma$-Expansion of the Measure-Current Large Deviations Rate Functional
- ABSTRACT
- In this talk, we present the general theory of connecting the hierarchical structure of metastability and the $\Gamma$-expansion of the measure-current (or level-2.5) large deviations rate functional of non-reversible finite-state Markov chains. The first bridge between the metastability and the $\Gamma$-expansion of the (measure, or level-2) rate functional was discovered recently by Bertini, Gabrielli and Landim (Ann. Appl. Probab. 2024). We briefly review the previous works on this topic and present our own contributions. The talk is based on a recent work (arXiv:2412.13515) with Claudio Landim (IMPA).
- FILE
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