ISBN: 3540675728
TITLE: Noise, Oscillators and Algebraic Randomness
AUTHOR: Planat, Michel
TOC:

Introduction
Michel Planat 1
Mathemagics (A Tribute to L. Euler and R. Feynman)
Pierre Cartier 6
Part I Classical and Quantum Noise
Thermal and Quantum Noise in Active Systems
Jean-Michel Courty, Francesca Grassia, Serge Reynaud 71
Dipole at nu = 1
V. Pasquier 84
Stored Ion Manipulation Dynamics of Ion Cloud and Quantum Jumps with Single Ions
Fernande Vedel 107
1/f Fluctuations in Cosmic Ray Extensive Air Showers
E. Faleiro, J.M.G. Gmez 125
Stochastic Resonance and the Benefit of Noise in Nonlinear Systems
Franois Chapeau-Blondeau 137
Time is Money
Marcel Ausloos, Nicolas Vandewalle, Kristinka Ivanova 156
Part II Noise in Oscillators, 1/f Noise and Arithmetic
Oscillators and the Characterization of Frequency Stability: an Introduction
Vincent Giordano, Enrico Rubiola 175
Phase Noise Metrology
Enrico Rubiola, Vincent Giordano 189
Phonon Fine Structure in the 1/f Noise of Metals, Semiconductors and Semiconductor Devices
Mihai N. Mihaila 216
The General Nature of Fundamental 1/f Noise in Oscillators and in the High Technology Domain
Peter H. Handel 232
1/f Frequency Noise in a Communication Receiver and the Riemann Hypothesis
Michel Planat 265
Detection of Chaos in the Noise of Electronic Oscillators by Time Series Analysis Methods
C. Eckert, M. Planat 288
Geometry and Dynamics of Numbers Under Finite Resolution
Jacky Cresson, Jean-Nicolas Dnari 305
Diophantine Conditions and Real or Complex Brjuno Functions
Pierre Moussa, Stefano Marmi 324
Part III Algebraic Randomness
Algebraic and Analytic Randomness
Jean-Paul Allouche 345
From Symbolic Dynamics to a Digital Approach
K. Karamanos 357
Algebraic Dynamics and Transcendental Numbers
Michel Waldschmidt 372
Dynamics of Some Contracting Linear Functions Modulo 1
Yann Bugeaud, Jean-Pierre Conze 379
On the Modular Function and Its Importance for Arithmetic
Paula B. Cohen 388
On Generalized Markoff Equations and Their Interpretation
Serge Perrine 398
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