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Semi-invariant conditions for fields of shot-type effect to be Lipschitz. (English. Russian original) Zbl 0835.60030

Theory Probab. Math. Stat. 46, 137-142 (1993); translation from Teor. Jmovirn. Mat. Stat. 46, 141-146 (1992).
Summary: The authors obtain sufficient conditions under which almost all realizations of shot-effect type fields belong to Lipschitz spaces. These conditions are based on a characteristic reflecting local behavior of semi-invariants of increments of these fields.

MSC:

60G15 Gaussian processes
60G60 Random fields
26A16 Lipschitz (Hölder) classes
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