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Uniform spanning forests of planar graphs.Forum Math

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Random spanning trees in random environment

math.PR · 2024-10-22 · unverdicted · novelty 7.0

RSTRE model on K_n with i.i.d. uniform disorders exhibits diameter n^{1/2} for β ≤ C n/log n and n^{1/3} for β ≥ n^{4/3} log n, with conjecture for intermediate exponents.

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  • Random spanning trees in random environment math.PR · 2024-10-22 · unverdicted · none · ref 17

    RSTRE model on K_n with i.i.d. uniform disorders exhibits diameter n^{1/2} for β ≤ C n/log n and n^{1/3} for β ≥ n^{4/3} log n, with conjecture for intermediate exponents.