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research article

A simple construction of the sine‐Gordon model via stochastic quantization

Gubinelli, Massimiliano
•
Hairer, Martin  
•
Oh, Tadahiro
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June 25, 2025
Journal of the London Mathematical Society

We present a simple PDE construction of the sine‐Gordon measure below the first threshold (), in both the finite and infinite volume settings, by studying the corresponding parabolic sine‐Gordon model. We also establish pathwise global well‐posedness of the hyperbolic sine‐Gordon model in finite volume for .

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Type
research article
DOI
10.1112/jlms.70214
Author(s)
Gubinelli, Massimiliano
Hairer, Martin  

École Polytechnique Fédérale de Lausanne

Oh, Tadahiro
Zine, Younes  

École Polytechnique Fédérale de Lausanne

Date Issued

2025-06-25

Publisher

Wiley

Published in
Journal of the London Mathematical Society
Volume

112

Issue

1

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
PROPDE  
FunderFunding(s)Grant NumberGrant URL

European Research Council

864138

Available on Infoscience
June 27, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/251696
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