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We construct a new sufficient conditions for boundedness or continuity ofarbitrary random fields relying on the so-called partition scheme, alike in theclassical majorizing measure method.  We deduce also the used in the practice (statistics, method Monte-Carlo etc.)exact exponential estimates for tail of distribution of maximum for randomfield satisfying formulated in this report conditions.

Discovering of boundedness and continuity of random fields by means of partition entropic scheme