Related papers: Invariance Principle and recurrence for random wal…
We consider a nearest neighbor random walk on the one-dimensional integer lattice with drift towards the origin determined by an asymptotically vanishing function of the number of visits to zero. We show the existence of distinct regimes…
We study a continuous time random walk, $X$, on ${\mathbb{Z}}^d$ in an environment of random conductances taking values in $(0,\infty)$. We assume that the law of the conductances is ergodic with respect to space shifts. We prove a quenched…
We prove an invariance principle for a class of zero-drift spatially non-homogeneous random walks in $\mathbb{R}^d$, which may be recurrent in any dimension. The limit $\mathcal{X}$ is an elliptic martingale diffusion, which may be…
This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2
This paper has been withdrawn by the author due to a crucial sign error in equation 1
This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019
This paper has been withdrawn
This paper has been withdrawn.
This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.
This paper has been withdrawn due to crucial errors.
The present paper extends the earlier results obtained by Abramov [`Conditions for recurrence and transience for time-inhomogeneous birth-and-death processes' \emph{Bull. Aust. Math. Soc.} \textbf{109} (2024), 393--402] for the case of…
This paper was withdrawn by the author.
This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1
This paper has been withdrawn by the author due to a crucial sign error in Theorem 3.4.
The paper consists of two parts. In the first part we review recent work on limit theorems for random walks in random environment (RWRE) on a strip with jumps to the nearest layers. In the second part, we prove the quenched Local Limit…
This paper has been withdrawn by the authors.
This paper has been withdrawn by the authors pending corrections.
We establish a central limit theorem and an invariance principle for stationary random fields, with projective-type conditions. Our result is obtained via an m-dependent approximation method. As applications, we establish invariance…
This paper has been withdrawn by the author due to a crucial argument error at p.10.
This paper has been withdrawn by the author, due a critical mistake on page 3.