Some Open Questions About the Anisotropic Random Walks

Between 2007 and 2018, we collaborated extensively with Pál Révész and Miklós Csörgő on many of the problems discussed in this paper. Over the past six years, we have continued to explore these issues, and here, we present some of the most intriguing open questions in these areas. This paper compiles key results from a dozen of our previous works, providing the necessary background to frame these compelling unresolved questions.