Exact asymptotics for record ages tau_k in saturating self-interacting random walks show geometry-dominated short times and subdominant memory with prefactor corrections at long times.
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Memory-biased random walks drive network avalanches where dissipative stress transfer stabilizes broad finite cascades on Watts-Strogatz graphs while fixed transfer produces runaways, and shuffled controls show dissipation dominates memory ordering.
citing papers explorer
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Aging Record Statistics in Saturating Self-Interacting Random Walks
Exact asymptotics for record ages tau_k in saturating self-interacting random walks show geometry-dominated short times and subdominant memory with prefactor corrections at long times.
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Dissipative Avalanche Regimes Driven by Memory-Biased Random Walks on Networks
Memory-biased random walks drive network avalanches where dissipative stress transfer stabilizes broad finite cascades on Watts-Strogatz graphs while fixed transfer produces runaways, and shuffled controls show dissipation dominates memory ordering.