On Convergence of a Family of Random Walks in the Infinite Dimensional Stiefel Manifold

Andrea C. G. Mennucci

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-20

Abstract: In this paper, we study random walks taking values in an infinite-dimensional space—either a Hilbert space or an infinite-dimensional manifold embedded in it, such as the Stiefel manifold. These random walks arise in problems in shape theory, particularly when stochastic optimization is applied. In these contexts, the random walks are defined at discrete times t∈τ=t0=0

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:5500272

DOI: 10.1155/ijmm/5500272

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