Related papers: Invariance Principle and recurrence for random wal…
We prove the annealed Central Limit Theorem for random walks in bistochastic random environments on $Z^d$ with zero local drift. The proof is based on a "dynamicist's interpretation" of the system, and requires a much weaker condition than…
We prove a quenched invariance principle for a class of random walks in random environment on $\mathbb{Z}^d$, where the walker alters its own environment. The environment consists of an outgoing edge from each vertex. The walker updates the…
This paper has been withdrawn by the author due to a crucial mistakes.
We consider a multidimensional random walk in a product random environment with bounded steps, transience in some spatial direction, and high enough moments on the regeneration time. We prove an invariance principle, or functional central…
This paper has been withdrawn by the author due to a crucial error in the definition of homomorphism.
This paper has been withdrawn by the author, due a crucial error in Eq. 6.
This paper has been withdrawn due to an error in the proof of the main theorem.
We study variable-speed random walks on $\mathbb Z$ driven by a family of nearest-neighbor time-dependent random conductances $\{a_t(x,x+1)\colon x\in\mathbb Z, t\ge0\}$ whose law is assumed invariant and ergodic under space-time shifts. We…
This paper has been withdrawn by the author due to a crucial sign error in equation 1
We prove invariance principles for a mulditimensional random walk conditioned to stay in a cone. Our first result concerns convergence towards the Brownian meander in the cone. Furthermore, we prove functional convergence of $h$-transformed…
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
This paper has been withdrawn by the author due a crucial error.
This paper has been withdrawn due to a crucial theoretical and experimental error.
This paper has been withdrawn by the author due to a crucial error in example.
We consider the random conductance model in a stationary and ergodic environment. Under suitable moment conditions on the conductances and their inverse, we prove a quenched invariance principle for the random walk among the random…
We study random walks on the integers driven by a sample of time-dependent nearest-neighbor conductances that are bounded but are permitted to vanish over time intervals of positive Lebesgue-length. Assuming only ergodicity of the…
This paper has been withdrawn by the author due to a crucial errors.
There have been comments on the starting paper, hep-th/0106074, which point out unclear motivation and definitions on noncommutative momentum introduced. This paper is withdrawn by the author for more clear presentation.
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 due to a crucial error in the submission action.