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

Original languageEnglish
Pages (from-to)213-223
Number of pages11
JournalStudia Scientiarum Mathematicarum Hungarica
Volume37
Issue number1-2
DOIs
StatePublished - 2001

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Almost sure behaviour, Head run, Increasing run, Monotone block, Random field

ID: 75021081