More on Random Walks: Circuits and a Tired Drunkard

  • Thanu Padmanabhan
Part of the Lecture Notes in Physics book series (LNP, volume 895)


The general formula for the probability P N (x) for a particle to be found at position x after N steps, obtained in the last chapter [see Eq. (23.30)], depends on the dimension of space D in which the random walk takes place. (It also depends on the geometry of the lattice, but for simplicity, we will only consider cubic lattice in D-dimensions.)


Random Walk Singular Behaviour Effective Resistance Golden Ratio Resistor Network 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Thanu Padmanabhan
    • 1
  1. 1.Inter-University Centre for Astronomy and AstrophysicsPuneIndia

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