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On a construction of majorizing measures on subsets of ℝⁿ with special metrics

Jakub Olejnik (2010)

Studia Mathematica

We consider processes Xₜ with values in L p ( Ω , , P ) and “time” index t in a subset A of the unit cube. A natural condition of boundedness of increments is assumed. We give a full characterization of the domains A for which all such processes are a.e. continuous. We use the notion of Talagrand’s majorizing measure as well as geometrical Paszkiewicz-type characteristics of the set A. A majorizing measure is constructed.

On a discrete modified M / G I / c / queue

Anatolij Dvurečenskij (1987)

Aplikace matematiky

The busy period distribution of a discrete modified queue M / G I / c / , with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.

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