Quenched invariance principle for random walk in time-dependent balanced random environment

@article{Deuschel2015QuenchedIP,
  title={Quenched invariance principle for random walk in time-dependent balanced random environment},
  author={Jean-Dominique Deuschel and Xiaoqin Guo and Alejandro Fonseca Ram{\'i}rez},
  journal={arXiv: Probability},
  year={2015}
}
We prove a quenched central limit theorem for balanced random walks in time dependent ergodic random environments which is not necessarily nearest-neigbhor. We assume that the environment satisfies appropriate ergodicity and ellipticity conditions. The proof is based on the use of a maximum principle for parabolic difference operators. 
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