This paper establishes general theorems which contain both moduli of continuity and large incremental results for $l^\infty$-valued Gaussian random fields indexed by a multidimensional parameter under explicit conditions.

Keywords:

$l^\infty$-valued Gaussian random field, modulus of continuity, regularly varying function, large deviation probability $l^\infty$-valued Gaussian random field, modulus of continuity, regularly varying function, large deviation probability

MSC Classifications:

60F15, 60G15, 60G60 show english descriptions Strong theorems
Gaussian processes
Random fields 60F15 - Strong theorems
60G15 - Gaussian processes
60G60 - Random fields

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