Journal article
Large deviations of the Schwarzian field theory
- Abstract:
- We prove a large deviations principle for the probabilistic Schwarzian Field Theory at low temperatures. We demonstrate that the good rate function is equal to the action of the Schwarzian Field Theory, and we find its minimisers. In addition, we define an analogue of the Hölder condition on the functional space Diff1(T)/PSL(2,R) in terms of cross-ratio observables, characterise them in terms of the usual Hölder property on the space of continuous functions, and deduce the corresponding compact embedding theorem. We also show that the Schwarzian measure concentrates on functions satisfying the defined condition.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 482.1KB, Terms of use)
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- Publisher copy:
- 10.1214/25-aop1786
Authors
- Publisher:
- Institute of Mathematical Statistics
- Journal:
- Annals of Probability More from this journal
- Volume:
- 54
- Issue:
- 3
- Pages:
- 1164-1196
- Publication date:
- 2026-05-01
- Acceptance date:
- 2025-05-20
- DOI:
- EISSN:
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2168-894X
- ISSN:
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0091-1798
- Language:
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English
- Keywords:
- Pubs id:
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2433143
- Local pid:
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pubs:2433143
- Source identifiers:
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W4400064649
- Deposit date:
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2026-06-12
- ARK identifier:
Terms of use
- Copyright holder:
- Institute of Mathematical Statistics
- Copyright date:
- 2026
- Rights statement:
- © 2026 Institute of Mathematical Statistics
- Notes:
- The author accepted manuscript (AAM) of this paper has been made available under the University of Oxford's Open Access Publications Policy, and a CC BY public copyright licence has been applied.
- Licence:
- CC Attribution (CC BY)
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