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020 _a9783540454632
_9978-3-540-45463-2
024 7 _a10.1007/3-540-45463-2
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.15
_223
245 1 0 _aNoise, Oscillators and Algebraic Randomness
_h[electronic resource] :
_bFrom Noise in Communication Systems of Number Theory Lectures of a School Held in Chapelle des Bois, France, April 5–10, 1999 /
_cedited by Michel Planat.
246 3 _aLectures of a School Held in Chapelle des Bois, France, April 5-10, 1999
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2000.
300 _aVIII, 418 p. 131 illus., 3 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v550
505 0 _aMathemagics -- 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.
520 _aNoise is ubiquitous in nature and 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 and the understanding of quantum, 1/f and phase noise in systems such as electronic amplifiers, oscillators and receivers, trapped ions, cosmic ray showers and in commercial applications. A strong link between 1/f noise and 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, physisicts and mathematicians.
650 0 _aMathematical physics.
650 0 _aMathematics.
650 0 _aStatistical physics.
650 1 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
700 1 _aPlanat, Michel.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662142967
776 0 8 _iPrinted edition:
_z9783662142950
776 0 8 _iPrinted edition:
_z9783540675723
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v550
856 4 0 _uhttps://doi.org/10.1007/3-540-45463-2
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c11274
_d11274