Noise, Oscillators and Algebraic Randomness

Mathemagics.- Thermal and Quantum Noise in Active Systems.- Dipole at ? = 1.- Stored Ion Manipulation Dynamics of Ion Cloud and Quantum Jumps with Single Ions.- 1/f Fluctuations in Cosmic Ray Extensive Air Showers.- Stochastic Resonance and the Benefit of Noise in Nonlinear Systems.- Time is Money.- Oscillators and the Characterization of Frequency Stability: an Introduction.- Phase Noise Metrology.- Phonon Fine Structure in the 1/f Noise of Metals, Semiconductors and Semiconductor Devices.- The General Nature of Fundamental 1/f Noise in Oscillators and in the High Technology Domain.- 1/f Frequency Noise in a Communication Receiver and the Riemann Hypothesis.- Detection of Chaos in the Noise of Electronic Oscillators by Time Series Analysis Methods.- Geometry and Dynamics of Numbers Under Finite Resolution.- Diophantine Conditions and Real or Complex Brjuno Functions.- Algebraic and Analytic Randomness.- From Symbolic Dynamics to a Digital Approach: Chaos and Transcendence.- Algebraic Dynamics and Transcendental Numbers.- Dynamics of Some Contracting Linear Functions Modulo 1.- On the Modular Function and Its Importance for Arithmetic.- On Generalized Markoff Equations and Their Interpretation.