On the chaotic character of the stochastic heat equation. II
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Publication:365711
DOI10.1007/s00440-012-0434-3zbMath1286.60061arXiv1111.4728OpenAlexW1997549222MaRDI QIDQ365711
Mathew Joseph, Daniel Conus, Shang-Yuan Shiu, Davar Khoshnevisan
Publication date: 9 September 2013
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.4728
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)
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Cites Work
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- On the chaotic character of the stochastic heat equation, before the onset of intermitttency
- On the global maximum of the solution to a stochastic heat equation with compact-support initial data
- Stochastic heat equation driven by fractional noise and local time
- Intermittence and nonlinear parabolic stochastic partial differential equations
- On the \(L^p\) norms of stochastic integrals and other martingales
- Extending martingale measure stochastic integral with applications to spatially homogeneous S. P. D. E's
- Nonlinear stochastic wave and heat equations
- The stochastic heat equation: Feynman-Kac formula and intermittence.
- On the existence and position of the farthest peaks of a family of stochastic heat and wave equations
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- Extrapolation and interpolation of quasi-linear operators on martingales
- L\({}^ p\) estimates on iterated stochastic integrals
- A local-time correspondence for stochastic partial differential equations
- Fluctuation exponent of the KPZ/stochastic Burgers equation
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Dynamic Scaling of Growing Interfaces
- Martingale Transforms
- Parabolic Anderson problem and intermittency
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