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. 2014 Sep 3;2:20. doi: 10.1186/s40462-014-0020-7

Figure 3.

Figure 3

Pictorial representation of the adiabatic approximation for a 1 d case, which allows the reduction of the many-body problem of territorial random walkers to a one-body problem. In the latter one walker moves within two fluctuating boundaries. Their dynamics follow the exclusion statistics and display a tendency to return to their equilibrium value proportional to the separation distance (spring force).