True self-avoiding walks on general infinite trees are recurrent if the branching-ruin number is less than 1/2 and transient if greater than 1/2.
Cambridge University Press, New York
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
citing papers explorer
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"True" self-avoiding walks on general trees
True self-avoiding walks on general infinite trees are recurrent if the branching-ruin number is less than 1/2 and transient if greater than 1/2.
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Random spanning trees in random environment
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.