Log-Sobolev Inequality for the Continuum Sine-Gordon Model
Accepted version
Peer-reviewed
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Repository DOI
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Authors
Bauerschmidt, Roland https://orcid.org/0000-0001-7453-2737
Bodineau, T
Abstract
We derive a multiscale generalisation of the Bakry--'Emery criterion for a
measure to satisfy a Log-Sobolev inequality. Our criterion relies on the
control of an associated PDE well known in renormalisation theory: the
Polchinski equation. It implies the usual Bakry--'Emery criterion, but we show
that it remains effective for measures which are far from log-concave. Indeed,
using our criterion, we prove that the massive continuum Sine-Gordon model with
Description
Keywords
math.PR, math.PR, math-ph, math.AP, math.MP
Journal Title
Communications on Pure and Applied Mathematics
Conference Name
Journal ISSN
0010-3640
1097-0312
1097-0312
Volume Title
74
Publisher
Wiley
Publisher DOI
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All rights reserved
Sponsorship
EPSRC Grant
Number EP/R014604/1
ANR-15-CE40-0020-01
grant LSD