Moore’s Clock

• Published in: Physica A Vol. 541; p. 123619
• Main Authors: Eliazar, Iddo, Shlesinger, Michael F.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2020
• Subjects: Exponential distribution; Gompertz distribution; Gumbel distribution; Harmonic series; Poisson processes; Zipf’s Law; Harmonic series; Gompertz distribution; Gumbel distribution; Zipf’s Law; Exponential distribution; Poisson processes

Considering a stochastic clock – a chronograph that ticks randomly according to an underpinning ticking rate – we address the durations between its successive ticking epochs and ask: when are the inter-ticking durations independent of each other? We establish that this question has two answers: equi...