GIANT VACANT COMPONENT LEFT BY A RANDOM WALK IN A ...

Dec 22, 2010 - Vk of the continuous-time simple random walk on Gk with i.i.d. mean-one exponen- tially distributed waiting times and ... the vacant set has a suitably defined unique giant component occupying a non- degenerate fraction of the total volume with ...... Xr} ∩ B ⊂ Dz] − rn−1f(z)∣. ∣. ≤ cγn−1+(2γ/3). (6.50) ...

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