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[null,"1.","Record Nr.",null,"UNINA9910480010003321"]
[null,null,"Titolo",null,"Random matrices and their applications : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation / / Joel E. Cohen, Harry Kesten, and Charles M. Newman, editors"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [1986]"]
[{"$nulls":4},"©1986"]
[null,null,"ISBN",null,"0-8218-7635-X"]
[null,null,"Descrizione fisica",null,"1 online resource (375 p.)"]
[null,null,"Collana",null,"Contemporary mathematics, , 0271-4232 ; ; volume 50"]
[null,null,"Disciplina",null,"519.2/6"]
[null,null,"Soggetti",null,"Random matrices"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Random Matrices and Their Applications was held at Bowdoin College, Brunswick, Maine\"--Title page verso."]
[null,null,null,"Nota di bibliografia","Bibliography: pages 337-358."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"Stability of exponential growth rate for randomly perturbed random matrix products via Markov-chain arguments\"\"\"\"Representation, positivity and expansion of Lyapunov exponents for linear stochastic systems\"\"; \"\"C. Theory of matrix products:\"\"; \"\"On uniform contraction generated by positive matrices\"\"; \"\"D. Connections with spectral theory:\"\"; \"\"Lyapunov exponents for some products of random matrices: exact expressions and asymptotic distributions\"\"; \"\"II. Spectral theory of random matrices\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"matrices\"\"; \"\"A. Applications to computer science and statistics:\"\"; \"\"Products of random matrices and computer image generation\"\"; \"\"Products of random matrices as they arise in the study of random walks on groups\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"IV. Scientific applications of random matrices and their products\"\"\"\"Lyapounov exponents and spectra for one-dimensional random Schroedinger operators\"\"; \"\"The density of states of random Schroedinger operators\"\"; \"\"Random matrices in nuclear physics and number theory\"\"; \"\"Random matrices and waves in random media\"\"; \"\"Demographic applications of random matrix products\"\"; \"\"V. Supplements\"\"; \"\"Open problems\"\"; \"\"List of participants in Joint Summer Research Conference at Bowdoin College, 17-23 June 1984\"\""]
[{"$nulls":4},"\"\"Products of random matrices and related topics in mathematics and science: a bibliography\"\""]