Title: Almost sure functional central limit theorems for multiparameter stochastic processes
Author(s):

	E.B.Czerebak-Morozowicz (Department of Mathematics, Technical University of Rzeszów, ul. Wincentego Pola 2, 35-959 Rzeszów, Poland) ,
	Z.Rychlik (Institute of Mathematics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland) ,
	M.Urbanek (Institute of Mathematics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland)

We present almost sure central limit theorems for stochastic processes whose time parameter ranges over the d-dimensional unit cube. Our purpose here is to generalize the classic functional central limit theorem of Prokhorov (1956) for such processes. We prove multidimensional analogues of Glivenko-Cantelli type theorems.

Key words: almost sure central limit theorem, multiparameter stochastic process, Glivenko-Cantelli type theorem, logarithmic averages
PACS: 02.50.Cw