Dimension jump at the uniqueness threshold for percolation in ∞+d dimensions

2024/12/20 by Tom Hutchcroft, Hutchcroft, Tom, Minghao Pan +1 · 2 citations
Mathematics · Physics and Astronomy · #Stochastic processes and statistical mechanics #Mathematical Dynamics and Fractals #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2412.15895

Abstract

Consider percolation on T× ℤ^d, the product of a regular tree of degree k≥ 3 with the hypercubic lattice ℤ^d. It is known that this graph has 0

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