Brownian motion and parabolic Anderson model in a renormalized Poisson potential
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Publication:441238
DOI10.1214/11-AIHP419zbMath1279.60106MaRDI QIDQ441238
Publication date: 20 August 2012
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aihp/1340714866
renormalizationPoisson fieldparabolic Anderson modelBrownian motion in Poisson potentialNewton's law of universal attraction
Brownian motion (60J65) Processes in random environments (60K37) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items
Brownian motion in attenuated or renormalized inverse-square Poisson potential ⋮ Feynman–Kac formula for parabolic Anderson model in Gaussian potential and fractional white noise ⋮ Annealed asymptotics for Brownian motion of renormalized potential in mobile random medium ⋮ Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential ⋮ Quenched asymptotics for Brownian motion of renormalized Poisson potential and for the related parabolic Anderson models ⋮ Large deviations for Brownian motion in a random potential ⋮ The mild and weak solutions of a stochastic parabolic Anderson equation ⋮ Mild solution to parabolic Anderson model in Gaussian and Poisson potential
Cites Work
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- Quenched asymptotics for Brownian motion of renormalized Poisson potential and for the related parabolic Anderson models
- Asymptotics of negative exponential moments for annealed Brownian motion in a renormalized Poisson potential
- Large deviations for Riesz potentials of additive processes
- On path properties of certain infinitely divisible processes
- Parabolic problems for the Anderson model. I: Intermittency and related topics
- Superdiffusivity for a Brownian polymer in a continuous Gaussian environment
- Intermittency properties in a hyperbolic Anderson problem
- Semigroups of linear operators and applications to partial differential equations
- Spectral representations of infinitely divisible processes
- Confinement of Brownian motion among Poissonian obstacles in \(\mathbb{R}^d, d\geq 3\)
- Moment asymptotics for the continuous parabolic Anderson model.
- Non-monotonic random Schrödinger operators: The Anderson model
- Continuity and boundedness of infinitely divisible processes: A Poisson point process approach
- Brownian survival among Poissonian traps with random shapes at critical intensity
- Small deviations in the functional central limit theorem with applications to functional laws of the iterated logarithm
- Almost sure asymptotics for the continuous parabolic Anderson model
- On large deviations for the parabolic Anderson model
- Intermittency on catalysts: symmetric exclusion
- Localization for Schrödinger operators with Poisson random potential
- Sharp estimation of the almost-sure Lyapunov exponent for the Anderson model in continuous space
- Errata
- Parabolic Anderson problem and intermittency
- Almost-sure exponential behavior of a stochastic anderson model with continuous space parameter
- Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model.
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