Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation. I: Lower bound on the volume exponent

DOI10.1214/11-AIHP467zbMath1267.82146arXiv1104.1944OpenAlexW2095033160MaRDI QIDQ1930653

Hubert Lacoin

Publication date: 11 January 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1944

zbMATH Keywords

correlationBrownian motionquenched disorderrandom potentialhitting timePoissonian obstaclessuperdiffusivitystretched polymervolume exponent

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37)

Related Items

Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation. II: Upper bound on the volume exponent ⋮ Large deviations for Brownian motion in a random potential

Cites Work

• Unnamed Item
• Unnamed Item
• Crossing random walks and stretched polymers at weak disorder
• Influence of spatial correlation for directed polymers
• Scaling for a one-dimensional directed polymer with boundary conditions
• Directed polymers in random environment are diffusive at weak disorder
• Scaling indentity for crossing Brownian motion in a Poissonian potential
• Superdiffusive behavior of two-dimensional Brownian motion in a Poissonian potential
• Fluctuation results for Brownian motion in a Poissonian potential
• Upper bound of a volume exponent for directed polymers in a random environment
• Transversal fluctuations for increasing subsequences on the plane
• A note on the diffusion of directed polymers in a random environment
• Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation. II: Upper bound on the volume exponent
• Superdiffusivity in first-passage percolation
• Distance fluctuations and Lyapunov exponents
• Fluctuation exponent of the KPZ/stochastic Burgers equation
• Dynamic Scaling of Growing Interfaces
• Errata
• Shape theorem, lyapounov exponents, and large deviations for brownian motion in a poissonian potential

This page was built for publication: Superdiffusivity for Brownian motion in a Poissonian potential with long range correlation. I: Lower bound on the volume exponent