Could anyone point me towards, articles, or any other reading material regarding ergodic theorem for Bounded Random Walks.(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Ergodic Theorem for Bounded Random Walks

Can you offer guidance or do you also need help?

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