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Noise, Oscillators and Algebraic Randomness [[electronic resource] ] : From Noise in Communication Systems to Number Theory / / by Michel Planat
| Noise, Oscillators and Algebraic Randomness [[electronic resource] ] : From Noise in Communication Systems to Number Theory / / by Michel Planat |
| Autore | Planat Michel |
| Edizione | [1st ed. 2000.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
| Descrizione fisica | 1 online resource (VIII, 418 p. 131 illus., 3 illus. in color.) |
| Disciplina | 621.382/24 |
| Altri autori (Persone) | PlanatMichel <1951-> |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Physics
Statistical physics Dynamical systems Applied mathematics Engineering mathematics Mathematical Methods in Physics Complex Systems Applications of Mathematics Statistical Physics and Dynamical Systems |
| ISBN | 3-540-45463-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Altri titoli varianti | Lectures of a School Held in Chapelle des Bois, France, April 5-10, 1999 |
| Record Nr. | UNISA-996466814403316 |
Planat Michel
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Noise, Oscillators and Algebraic Randomness : From Noise in Communication Systems to Number Theory / / by Michel Planat
| Noise, Oscillators and Algebraic Randomness : From Noise in Communication Systems to Number Theory / / by Michel Planat |
| Autore | Planat Michel |
| Edizione | [1st ed. 2000.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
| Descrizione fisica | 1 online resource (VIII, 418 p. 131 illus., 3 illus. in color.) |
| Disciplina | 621.382/24 |
| Altri autori (Persone) | PlanatMichel <1951-> |
| Collana | Lecture Notes in Physics |
| Soggetto topico |
Physics
Statistical physics Dynamics Applied mathematics Engineering mathematics Mathematical Methods in Physics Complex Systems Applications of Mathematics Statistical Physics and Dynamical Systems |
| ISBN | 3-540-45463-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Altri titoli varianti | Lectures of a School Held in Chapelle des Bois, France, April 5-10, 1999 |
| Record Nr. | UNINA-9910139815403321 |
|
Planat Michel
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Number Theory and Symmetry
| Number Theory and Symmetry |
| Autore | Planat Michel |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 |
| Descrizione fisica | 1 online resource (206 p.) |
| Soggetto topico |
Mathematics & science
Research & information: general |
| Soggetto non controllato |
4-manifold topology
algebraic number asymptotic semicircular laws Baker's theorem Banach ∗-probability spaces binary periodical sequences branch coverings branched coverings C*-algebras charge as Hirzebruch defect congruences of binomial expansions Dehn surgeries fixed points for recursive functions free probability Gel'fond-Schneider theorem IC-POVMs Kaprekar constants Kaprekar transformation knot theory knots and links limited intervals logarithmic integral estimations Lucas' result on the Pascal's triangle Miller-Rabin primality test modified Sieve procedure number of generations p-adic number fields ℚp particles as 3-Braids Pólya-Hilbert conjecture primality test primality witnesses prime characteristic function prime number function Prime Number Theorem (P.N.T.) prime numbers quantum computation Riemann interferometer semicircular elements standard model of elementary particles strong pseudoprimes the pe-Pascal's triangle the semicircular law three-manifolds transcendental number twin prime numbers umbral moonshine zeta function |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557740803321 |
|
Planat Michel
|
||
| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||