PLAN RADA SEMINARA ZA OKTOBAR 2008.

Sreda, 15. oktobar u 12 h.
Zoran Pop-Stojanović, Professor Emeritus Department of Mathematics University of Florida, Gainesville

APPLICATIONS OF SLOWLY VARYING FUNCTIONS IN TREATMENTS OF A SUBORDINATED BROWNIAN MOTION PROCESS

The motivation for the concepts of a subordinator and of the corresponding subordinated process one finds in the need for randomizing the parameter of a process. For example, if one considers a Markov process, then it is possible to obtain many new processes by randomizing the parameter of a given process. By choosing the parameter process - the subordinator, one obtains a new process ­ the subordinated process of a given process. When considering the asymptotic behavior of various potential­theoretic functions of the subordinated Brownian motion process, Karamata slowly varying functions are used to characterize these potential­theoretic functions.

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Slobodanka Janković i Svetlana Janković
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