2 problems
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The universality conjecture for partially loop-erased random walks
Let a partially loop-erased random walk be a random walk in which each loop is erased independently with probability , where , and let LERWs denote fully loop-erased rand…
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The Fedorenko–Le Doussal–Wiese conjecture on charge-density-wave depinning and loop-erased random walks
Let charge-density waves (CDWs) be pinned by disorder, and let LERWs denote loop-erased random walks. Fedorenko–Le Doussal–Wiese conjecture. The field theory of the depinning trans…