Random matrices and their applications : [electronic resource] 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.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Random Matrices and Their Applications (1984 : Bowdoin College)Contributor(s): Cohen, Joel E | Kesten, Harry, 1931- | Newman, Charles M. (Charles Michael), 1946- | American Mathematical Society | Institute of Mathematical Statistics | Society for Industrial and Applied MathematicsMaterial type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 50.Publication details: Providence, R.I. : American Mathematical Society, c1986Description: 1 online resource (xiv, 358 p. : ill.)ISBN: 9780821876350 (online)Subject(s): Random matrices -- CongressesAdditional physical formats: Random matrices and their applications :DDC classification: 519.2/6 LOC classification: QA188 | .A46 1984Online resources: Contents | Contents
Contents:
Limit theorems for products of random matrices: a comparison of two points of view / Joseph C. Watkins -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841078 Oseledec's multiplicative ergodic theorem: a proof / Joel E. Cohen, Harry Kesten and Charles M. Newman -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841079 Products of random matrices: convergence theorems / Y. Guivarc'h and A. Raugi -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841080 Examples of applications of Oseledec's theorem / F. Ledrappier -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841081 Multiplicative ergodic theorems for random diffeomorphisms / Yuri Kifer -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841082 Furstenberg-Kesten results: asymptotic analysis / Steve Pincus -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841083 Stability of exponential growth rate for randomly perturbed random matrix products via Markov-chain arguments / Eric V. Slud -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841084 Representation, positivity and expansion of Lyapunov exponents for linear stochastic systems / Volker Wihstutz -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841085 On uniform contraction generated by positive matrices / Maciej Wojtkowski -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841086 Lyapunov exponents for some products of random matrices: exact expressions and asymptotic distributions / C. M. Newman -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841087 A brief survey on the spectral radius and the spectral distribution of large random matrices with i.i.d.\ entries / Chii-Ruey Hwang -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841088 Eigenvalues and eigenvectors of large-dimensional sample covariance matrices / Jack W. Silverstein -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841089 Spectra for large-dimensional random matrices / Y. Q. Yin and Z. D. Bai -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841090 Products of random matrices and computer image generation / Persi Diaconis and Mehrdad Shahshahani -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841091 Products of random matrices as they arise in the study of random walks on groups / Persi Diaconis and Mehrdad Shahshahani -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841092 On products of random stochastic matrices / Robert Cogburn -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841093 Convolution sequences of measures on the semigroup of stochastic matrices / M. Rosenblatt -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841094 Random walks on semigroups / Tze Chien Sun -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841095 A note on random systems with complete connections and their applications to products of random matrices / Thomas Kaijser -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841096 Using random matrices to give recurrence and transience criteria for random walk in a random environment / Eric S. Key -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841097 A contraction principle for certain Markov chains and its applications / G�erard Letac -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841098 Lyapunov exponents and spectra for one-dimensional random Schr�odinger operators / S. Kotani -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841099 The density of states of random Schroedinger operators / Robert S. Maier -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841100 Random matrices in nuclear physics and number theory / M. L. Mehta -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841101 Random matrices and waves in random media / George C. Papanicolaou -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841102 Demographic applications of random matrix products / Shripad Tuljapurkar -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841103 Open problems / Joel E. Cohen, Harry Kesten and Charles M. Newman -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841104 Products of random matrices and related topics in mathematics and science: a bibliography / Joel E. Cohen -- http://www.ams.org/conm/050/ http://dx.doi.org/10.1090/conm/050/841105
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"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"--T.p. verso.

Bibliography: p. 337-358.

Limit theorems for products of random matrices: a comparison of two points of view / Joseph C. Watkins -- Oseledec's multiplicative ergodic theorem: a proof / Joel E. Cohen, Harry Kesten and Charles M. Newman -- Products of random matrices: convergence theorems / Y. Guivarc'h and A. Raugi -- Examples of applications of Oseledec's theorem / F. Ledrappier -- Multiplicative ergodic theorems for random diffeomorphisms / Yuri Kifer -- Furstenberg-Kesten results: asymptotic analysis / Steve Pincus -- Stability of exponential growth rate for randomly perturbed random matrix products via Markov-chain arguments / Eric V. Slud -- Representation, positivity and expansion of Lyapunov exponents for linear stochastic systems / Volker Wihstutz -- On uniform contraction generated by positive matrices / Maciej Wojtkowski -- Lyapunov exponents for some products of random matrices: exact expressions and asymptotic distributions / C. M. Newman -- A brief survey on the spectral radius and the spectral distribution of large random matrices with i.i.d.\ entries / Chii-Ruey Hwang -- Eigenvalues and eigenvectors of large-dimensional sample covariance matrices / Jack W. Silverstein -- Spectra for large-dimensional random matrices / Y. Q. Yin and Z. D. Bai -- Products of random matrices and computer image generation / Persi Diaconis and Mehrdad Shahshahani -- Products of random matrices as they arise in the study of random walks on groups / Persi Diaconis and Mehrdad Shahshahani -- On products of random stochastic matrices / Robert Cogburn -- Convolution sequences of measures on the semigroup of stochastic matrices / M. Rosenblatt -- Random walks on semigroups / Tze Chien Sun -- A note on random systems with complete connections and their applications to products of random matrices / Thomas Kaijser -- Using random matrices to give recurrence and transience criteria for random walk in a random environment / Eric S. Key -- A contraction principle for certain Markov chains and its applications / G�erard Letac -- Lyapunov exponents and spectra for one-dimensional random Schr�odinger operators / S. Kotani -- The density of states of random Schroedinger operators / Robert S. Maier -- Random matrices in nuclear physics and number theory / M. L. Mehta -- Random matrices and waves in random media / George C. Papanicolaou -- Demographic applications of random matrix products / Shripad Tuljapurkar -- Open problems / Joel E. Cohen, Harry Kesten and Charles M. Newman -- Products of random matrices and related topics in mathematics and science: a bibliography / Joel E. Cohen --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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