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- W2954996954 abstract "Dyadic lattice graphs and their duals are commonly used as discrete approximations to the hyperbolic plane. We use them to give examples of random rooted graphs that are stationary for simple random walk, but whose duals have only a singular stationary measure. This answers a question of Curien and shows behaviour different from the unimodular case. The consequence is that planar duality does not combine well with stationary random graphs. We also study harmonic measure on dyadic lattice graphs and show its singularity." @default.
- W2954996954 created "2019-07-12" @default.
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- W2954996954 date "2018-07-17" @default.
- W2954996954 modified "2023-09-27" @default.
- W2954996954 title "A Stationary Planar Random Graph with Singular Stationary Dual: Dyadic Lattice Graphs" @default.
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