Probability Spaces for Random Algorithms

Lasha Epremidze; George Nadareishvili; Jonas Oberhauser; Wolfgang J. Paul

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arXiv · 2504.04133

Probability Spaces for Random Algorithms

Lasha Epremidze·George Nadareishvili·Jonas Oberhauser·Wolfgang J. Paul

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Abstract

Standard analyses of expected runtimes for randomized algorithms typically bypass the explicit construction of an underlying probability space. In this paper, we provide a formal, yet intuitive tree-based definition of the probability space for the execution paths of such algorithms. Using this model, we derive the recurrence equation for the expected runtime.

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Lasha Epremidze, George Nadareishvili, Jonas Oberhauser, Wolfgang J. Paul. 2025-04-05. Probability Spaces for Random Algorithms. https://arxiv.org/abs/2504.04133

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