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Ergodic Theorem for Bounded Random Walks

  1. Nov 16, 2009 #1
    Could anyone point me towards, articles, or any other reading material regarding ergodic theorem for Bounded Random Walks.

    1) Consider an simple bounded (x,y) plane on which several 2-dimensional random walker are randomly assigned an (x,y) coordinate.

    2) Furthermore, if 2 random walkers collide 1 of them dies off.

    I have tried time series, Markov Chains etc...

    But I can't seem to be able to factor in the interaction between 2 elements.

    http://demonstrations.wolfram.com/PredatorPreyEcosystemARealTimeAgentBasedSimulation/

    I'm working on a simpler version of this simulation.
     
  2. jcsd
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