On the chaotic character of the stochastic heat equation, before the onset of intermitttency
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Publication:373565
DOI10.1214/11-AOP717zbMath1286.60060arXiv1104.0189OpenAlexW3100766916MaRDI QIDQ373565
Daniel Conus, Davar Khoshnevisan, Mathew Joseph
Publication date: 17 October 2013
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.0189
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
- On the global maximum of the solution to a stochastic heat equation with compact-support initial data
- Ideas in the theory of random media
- Intermittence and nonlinear parabolic stochastic partial differential equations
- On the \(L^p\) norms of stochastic integrals and other martingales
- The stochastic heat equation: Feynman-Kac formula and intermittence.
- Weak nonmild solutions to some SPDEs
- Extrapolation and interpolation of quasi-linear operators on martingales
- L\({}^ p\) estimates on iterated stochastic integrals
- Fluctuation exponent of the KPZ/stochastic Burgers equation
- Dynamic Scaling of Growing Interfaces
- On the support of solutions to the heat equation with noise
- Martingale Transforms
- Parabolic Anderson problem and intermittency
- Corrections to: Extending the martingale measure stochastic integral with applications to spatially homogeneous s. p. d. e. 's
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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