Invariance Principle and recurrence for random walks in random environments with zero local drift

TL;DR

This paper aimed to study invariance principles and recurrence properties of random walks in random environments with zero local drift, but it was withdrawn due to a critical mistake in a key lemma.

Contribution

The paper intended to establish new invariance principles and recurrence results for zero-drift random walks in random environments, but it was withdrawn before completion.

Findings

Paper was withdrawn, no results published.

No concrete findings due to withdrawal.

Main lemma contained a critical mistake.

Abstract

This paper has been withdrawn by the author due to a mistake in one of the main lemmas.