The BPHZ theorem for regularity structures via the spectral gap inequality
DOI10.1007/s00205-023-01946-warXiv2301.10081OpenAlexW4391135887WikidataQ129403479 ScholiaQ129403479MaRDI QIDQ6193975
Publication date: 14 February 2024
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.10081
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Singular stochastic partial differential equations (60H17) Regularity structures (60L30)
Cites Work
- Unnamed Item
- Malliavin calculus for regularity structures: the case of gPAM
- A theory of regularity structures
- Differential equations driven by rough signals
- The strong Feller property for singular stochastic PDEs
- Weak universality for a class of 3d stochastic reaction-diffusion models
- Algebraic renormalisation of regularity structures
- Stochastic analysis with modelled distributions
- Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
- The reconstruction theorem in Besov spaces
- Renormalising SPDEs in regularity structures
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- A CLASS OF GROWTH MODELS RESCALING TO KPZ
- System Control and Rough Paths
- <scp>Space‐Time</scp> Localisation for the Dynamic Model
- Geometric stochastic heat equations
- A course on rough paths. With an introduction to regularity structures
- The structure group for quasi-linear equations via universal enveloping algebras
- Besov reconstruction
