ON THE LARGEST CAVE IN A RANDOM FIELD

Author： Frolov A. N.   Martikainen A. I.  

Publisher： Akademiai Kiado

ISSN： 0081-6906

Source： Studia Scientiarum Mathematicarum Hungarica, Vol.37, Iss.1-2, 2001-12, pp. : 213-223

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Abstract

The asymptotics of the size of the largest cave is found for a d -dimensional .eld of i.i.d.random variables.For Bernoulli case the problem was investigated by R ´ev ´esz ([7 ], p =1 /2)and Deheuvels [2 ].We consider distributions of a general structure.

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