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eCommons@USASK collects, preserves, and promotes the discovery of research, scholarly and artistic work in digital format produced by librarians and archivists at the University of Saskatchewan.

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In this thesis, we use martingales to show that the dilation of a sequence of monotone convolutions $D_\frac{1}{b_n} (\mu_1 \triangleright \mu_2 \triangleright \cdots \triangleright \mu_n)$ is stable, where $\mu_j$ are ...