Théorie des fonctions aléatoires : applications á divers phénoménes de fluctuation /
Guardado en:
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| Formato: | Libro |
| Idioma: | French |
| Publicado: |
Paris :
Masson,
1953.
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| Series: | Collection d'ouvrages de mathématiques A l'usage des physiciens
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| Materias: | |
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Tabla de Contenidos:
- I. Physical introduction to random functions
- II. Axioms, notions, and main theorems of probability theory
- III. Generalities on random functions
- IV. Generalities on stochastic processes; random functions with independent increments
- V. Random functions from Poisson processes
- VI. Generalities on Markov processes. Homogeneous, discrete, Markov chains, finite case. Homogeneous, permanent, Markov chains, finite case. Homogeneous, permanent, Markov chains, denumerable case
- VII. Permanent discontinuous Markov chains. Permanent continuous Markov chains. Additive functionals of a Markov process
- VIII. Harmonic analysis of random functions; linear filters
- IX. Energetic properties of second-order random functions
- X. Some problems related to harmonic analysis
- XI. Stationary random functions of second order
- XII. Laplacian random functions
- XIII. Application: noise and telecommunications
- XIV. Random functions and the statistical theory of turbulence
- XV. Mathematical appendix.