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Random Walks and Electric Networks

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arxiv math/0001057 v1 pith:Q4B4WS2Q submitted 2000-01-11 math.PR

classification math.PR
keywords electricnetworksrandomwalksaccountconnectionpopular
verification ladder T0 review T1 audit T2 compute T3 formal
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A popular account of the connection between random walks and electric networks.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Bounded Treewidth and Complete Monotonicity for Scott-Sokal Spanning-Tree Polynomials

    math.CO 2026-06 unverdicted novelty 6.0 of 10

    Graphs with treewidth ≤ k have spanning-tree polynomials T_G such that T_G^{-β} is completely monotone for every β > (k-1)/2.

  2. Thermodynamic geometry of friction on graphs: Resistance, commute times, and optimal transport

    cond-mat.stat-mech 2026-01 conditional novelty 6.0 of 10

    For slowly driven reversible Markov chains, the friction metric equals the graph-Laplacian pseudoinverse (resistance distance and commute-time geometry), and the thermodynamic distance is an equilibrium-restricted dis...

  3. Composing Quantum Algorithms

    quant-ph 2025-02 unverdicted novelty 2.0 of 10

    A survey explaining that bounded-error quantum algorithms can be composed without the log factor that classical randomized composition requires, using the transducer model.

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