Diffusivity bounds for 1D Brownian polymers
DOI10.1214/10-AOP630zbMath1242.60105arXiv0911.2356OpenAlexW2018242962MaRDI QIDQ414284
Pierre Tarrès, Bálint Tóth, Benedek Valkó
Publication date: 11 May 2012
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.2356
local timeresolvent methodasymptotic lower and upper boundsBrownian polymersGaussian stationary measureself-repelling random motionstrong theorems
Gaussian processes (60G15) Continuous-time Markov processes on general state spaces (60J25) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Processes in random environments (60K37) Local time and additive functionals (60J55)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An asymptotic result for Brownian polymers
- Self-avoiding random walk: A Brownian motion model with local time drift
- Asymptotic behavior of Brownian polymers
- The true self-repelling motion
- Fluctuation-dissipation equation of asymmetric simple exclusion processes
- Superdiffusivity of asymmetric exclusion process in dimensions one and two
- Self attracting diffusions: Two case studies
- The ``true self-avoiding walk with bond repulsion on \(\mathbb{Z}\): Limit theorems
- The strong law of large numbers for a Brownian polymer
- Asymptotic behavior of a tagged particle in simple exclusion processes
- A note on the diffusivity of finite-range asymmetric exclusion processes on Z
- A limit theorem related to a new class of self similar processes
- Gaussian Hilbert Spaces
- Random walk in random scenery: A survey of some recent results
- Markov Processes, Gaussian Processes, and Local Times
- Upper Bounds for the Asymptotic Maxima of Continuous Gaussian Processes
- A. N. Kolmogorov - the founder of the theory of reversible Markov processes
This page was built for publication: Diffusivity bounds for 1D Brownian polymers