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.
Non-homogeneous random processes on trees with polynomial growth.In preparation
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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.