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Selected properties of bivariate and multivariate random walks.
 Nguyen, Huy Quang ; Hlubinka, Daniel (advisor) ; Kříž, Pavel (referee)
This thesis deals with random walks with emphasis on multivariate random walks. We focus mainly on return of the random walk to the origin in two dimensions. Some results are generalized in any dimension. Specifically we discuss the probability of return to the origin, probability of the first return to the origin and expected time of the first return. In the thesis we also find the arcsine laws and short simulation study focused on multivariate version of this topic. 1
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