Asymptotic shapes for ergodic families of metrics on nilpotent groups

DOI10.4171/GGD/430zbMath1454.37008arXiv1508.00244OpenAlexW2962696796MaRDI QIDQ1691964

Michael Cantrell, Alex Furman

Publication date: 25 January 2018

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00244

zbMATH Keywords

ergodic theoremCarnot groupfirst passage percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Ergodic theorems, spectral theory, Markov operators (37A30) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Sub-Riemannian geometry (53C17) Homogeneous flows (37A17)

Related Items (3)

On the logarithmic coarse structures of Lie groups and hyperbolic spaces ⋮ Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups ⋮ The asymptotic shape theorem for the frog model on finitely generated abelian groups

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