The Law of the Iterated Logarithm for Algorithmically Random Brownian Motion

Abstract

Algorithmic randomness is most often studied in the setting of the fair-coin measure on the Cantor space, or equivalently Lebesgue measure on the unit interval. It has also been considered for the Wiener measure on the space of continuous functions. Answering a question of Fouché, we show that Khintchine’s law of the iterated logarithm holds at almost all… (More)
DOI: 10.1007/978-3-540-72734-7_22

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