Noise sensitivity and stability on groups
<|reference_start|>Noise sensitivity and stability on groups: We discuss finitely generated infinite groups on which natural random walks are noise sensitive in total variation as well as ones on which natural random walks are noise stable in total variation.<|reference_end|>
@article{tanaka2024noise,
    title={Noise sensitivity and stability on groups},
    author={Ryokichi Tanaka},
    journal={arXiv preprint arXiv:2403.01658},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.01658},
    primaryClass={math.PR cs.DM}
}