TL;DR
This paper studies the behavior of random walks on the Penrose tiling, providing heat kernel estimates and proving an invariance principle to understand their diffusive limits.
Contribution
It introduces new heat kernel estimates and establishes an invariance principle for random walks on the Penrose lattice, advancing understanding of their diffusive properties.
Findings
Heat kernel estimates for random walks on Penrose tiling
Invariance principle established for these walks
Demonstrates diffusive limit behavior
Abstract
In this paper random walks on the Penrose lattice are investigated. Heat kernel estimates and the invariance principle are shown.
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