Abstract
We prove large deviation estimates at the correct order for the graph distance of two sites lying in the same cluster of an independent percolation process. We improve earlier results of Gärtner and Molchanov and Grimmett and Marstrand and answer affirmatively a conjecture of Kozlov.
Citation
Peter Antal. Agoston Pisztora. "On the chemical distance for supercritical Bernoulli percolation." Ann. Probab. 24 (2) 1036 - 1048, April 1996. https://doi.org/10.1214/aop/1039639377
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