Abstract
We discuss methods of producing random walks on a compact homogeneous space $X$ and examine how they lead to approximate evaluation of integrals of elements of various function spaces, including $L^{p}$ spaces, $L^{p}$-Sobolev spaces, and Hölder spaces.
Citation
Michael Taylor. "Random walks and approximate integration on compact homogeneous spaces." Illinois J. Math. 57 (2) 559 - 576, Summer 2013. https://doi.org/10.1215/ijm/1408453594
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