Related papers: Invariance Principle and recurrence for random wal…
We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random…
We establish an invariance principle for a one-dimensional random walk in a dynamical random environment given by a speed-change exclusion process. The jump probabilities of the walk depend on the configuration of the exclusion in a finite…
This paper has been withdrawn by the authors.
This article is withdrawn because of a mistake in the main result of the paper.
We prove an invariance principle for continuous-time random walks in a dynamically averaging environment on $\mathbb Z$. In the beginning, the conductances may fluctuate substantially, but we assume that as time proceeds, the fluctuations…
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
The paper is withdrawn by the author due to a recently discovered flaw in a basic proof.
In this paper, we establish the invariance principle and the large deviation for the biased random walk $RW_{\lambda}$ with $\lambda \in [0,1)$ on $\mathbb{Z}^d, d\geq 1$.
There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.
This paper has been withdrawn by the author.
The paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn by the authors due to a crucial error.
We are concerned with random walks on $\mathbb{Z}^d$, $d\geq 3$, in an i.i.d. random environment with transition probabilities $\epsilon$-close to those of simple random walk. We assume that the environment is balanced in one fixed…
This paper has been withdrawn due to a crucial theoretical error.
This paper has been withdrawn by the author, due to a significant error in section 4.3.1.
The paper has been withdrawn by the author.
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author, due to a crucial error in page 5.
In the proof of the invariance principle for locally perturbed periodic Lorentz process with finite horizon, a lot of delicate results were needed concerning the recurrence properties of its unperturbed version. These were analogous to the…