Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups

DOI10.1007/s00440-023-01196-7arXiv2110.00055OpenAlexW3204674735MaRDI QIDQ6041768

Christian Gorski, Antonio Auffinger

Publication date: 12 May 2023

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00055

zbMATH Keywords

Cayley graphsfirst passage percolationCarnot-Carathéodory metric

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Processes in random environments (60K37)

Cites Work

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• Geometric Group Theory
• Croissance des boules et des géodésiques fermées dans les nilvariétés
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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