Noise, oscillators, and algebraic randomness [electronic resource] : from noise in communication systems to number theory : lectures of a school held in Chapelle des Bois, France, April 5-10, 1999 / Michel Planat (ed.)

Annotation Noise is ubiquitous in nature & in man-made systems. Noise in oscillators perturbs high-technology devices such as time standards or digital communication systems. The understanding of its algebraic structure is thus of vital importance. The book addresses both the measurement methods & the understanding of quantum, 1/f & phase noise in systems such as electronic amplifiers, oscillators & receivers, trapped ions, cosmic ray showers & in commercial applications. A strong link between 1/f noise & number theory is emphasized. The twenty papers in the book are comprehensive versions of talks presented at a school in Chapelle des Bois (Jura, France) held from April 6 to 10, 1999, by engineers, physicists & mathematicians

1. Introduction -- 2. Classical and Quantum Noise -- 3. Noise in Oscillators, 1/f Noise and Arithmetic -- 4. Algebraic Randomness