The dynamical sine-Gordon model
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Publication:2634684
DOI10.1007/s00220-015-2525-3zbMath1336.60120arXiv1409.5724OpenAlexW204489328WikidataQ56894171 ScholiaQ56894171MaRDI QIDQ2634684
Publication date: 18 February 2016
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5724
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
- Unnamed Item
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- Unnamed Item
- A theory of regularity structures
- On the massive sine-Gordon equation in the higher regions of collapse
- Kosterlitz-Thouless transition line for the two dimensional Coulomb gas
- Theory of function spaces
- On the massive sine-Gordon equation in all regions of collapse
- On the massive sine-Gordon equation in the first few regions of collapse
- Strong solutions to the stochastic quantization equations.
- Sine-Gordon revisited
- Two-dimensional Navier-Stokes equations driven by a space-time white noise
- Complex Gaussian multiplicative chaos
- PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES
- Fourier Analysis and Nonlinear Partial Differential Equations
- A CLASS OF GROWTH MODELS RESCALING TO KPZ
- Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems.
- A two-space dimensional semilinear heat equation perturbed by (Gaussian) white noise