• Corpus ID: 238857041

On homogeneous and oscillating random walks on the integers

@inproceedings{Bremont2021OnHA,
  title={On homogeneous and oscillating random walks on the integers},
  author={Julien Br'emont},
  year={2021}
}
We study the recurrence of homogeneous and oscillating random walks on the integers, simplifying former works of Spitzer and Kemperman, respectively. We add general remarks and discuss some links with renewal theory. 
The oscillating random walk on $\mathbb{Z}$
The paper is concerned with a new approach for the recurrence property of the oscillating process on Z in Kemperman’s sense. In the case when the random walk is ascending on Z− and descending on Z+,

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