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Random Matrices and Their Applications
| Clasificación: | Libro Electrónico |
|---|---|
| Autores Corporativos: | , , , |
| Otros Autores: | , , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1986.
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| Colección: | Contemporary Mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Contents""; ""Preface""; ""I. Basic theory of products of random matrices""; ""A. Overviews:""; ""Limit theorems for products of random matrices: a comparison of two points of view""; ""Oseledec's multiplicative ergodic theorem: a proof""; ""Products of random matrices: convergence theorems""; ""Examples of application of Oseledec's theorem""; ""B. Perturbation theory:""; ""Multiplicative ergodic theorems for random diffeomorphisms""; ""Furstenberg-Kesten results: asymptotic analysis""
- ""Stability of exponential growth rate for randomly perturbed random matrix products via Markov-chain arguments""""Representation, positivity and expansion of Lyapunov exponents for linear stochastic systems""; ""C. Theory of matrix products:""; ""On uniform contraction generated by positive matrices""; ""D. Connections with spectral theory:""; ""Lyapunov exponents for some products of random matrices: exact expressions and asymptotic distributions""; ""II. Spectral theory of random matrices""
- ""A brief survey on the spectral radius and the spectral distribution of large random matrices with i.i.d. entries""""Eigenvalues and eigenvectors of large dimensional sample covariance matrices""; ""Spectra for large dimensional random matrices""; ""III. Applications to computer science, probability and statistics of products of random matrices""; ""A. Applications to computer science and statistics:""; ""Products of random matrices and computer image generation""; ""Products of random matrices as they arise in the study of random walks on groups""
- ""B. Applications to Markov chains in random environments:""""On products of random stochastic matrices""; ""Convolution sequences of measures on the semigroup of stochastic matrices""; ""Random walks on semigroups""; ""C. Other applications to probability theory:""; ""A note on random systems with complete connections and their applications to products of random matrices""; ""Using random matrices to give recurrence and transience criteria for random walk in a random environment""; ""A contraction principle for certain Markov chains and its applications""
- ""IV. Scientific applications of random matrices and their products""""Lyapounov exponents and spectra for one-dimensional random Schroedinger operators""; ""The density of states of random Schroedinger operators""; ""Random matrices in nuclear physics and number theory""; ""Random matrices and waves in random media""; ""Demographic applications of random matrix products""; ""V. Supplements""; ""Open problems""; ""List of participants in Joint Summer Research Conference at Bowdoin College, 17-23 June 1984""