Random walkers on a deformable medium

We consider random walkers that deform the medium as they move, enabling a faster motion in regions which have been recently visited. This induces an effective attraction between walkers mediated by the medium, which can be regarded as a space metric. This gives rise to a statistical mechanics toy model either for gravity, motion through deformable matter or adaptable geometry. Available in arXiv: 2004.02236 and J. Stat. Mech. (2021) 073207

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