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- W2743408519 abstract "In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By fixing a prime p and a graph G, we establish a noncommutative free probabilistic structure embedded in the algebra of all arithmetic functions. We act the additive group ((mathbb{R},+),) the flow, on the free probability space dependent both on p and on G, and construct uncountable families of free probability spaces determined by the flow. We study fundamental properties of such a family." @default.
- W2743408519 created "2017-08-17" @default.
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- W2743408519 date "2017-01-01" @default.
- W2743408519 modified "2023-09-26" @default.
- W2743408519 title "A Harmonic Analysis of Directed Graphs from Arithmetic Functions and Primes" @default.
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- W2743408519 doi "https://doi.org/10.1007/978-3-319-55556-0_7" @default.
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