Background
Mehta, Madan Lal was born on December 24, 1932 in Relmagra, Rajasthan, India. Son of Pyar Chand and Jhamaku Devi (Bapna) Mehta. arrived in France, 1968.
(Since the publication of Random Matrices (Academic Press,...)
Since the publication of Random Matrices (Academic Press, 1967) so many new results have emerged both in theory and in applications, that this edition is almost completely revised to reflect the developments. For example, the theory of matrices with quaternion elements was developed to compute certain multiple integrals, and the inverse scattering theory was used to derive asymptotic results. The discovery of Selberg's 1944 paper on a multiple integral also gave rise to hundreds of recent publications. This book presents a coherent and detailed analytical treatment of random matrices, leading in particular to the calculation of n-point correlations, of spacing probabilities, and of a number of statistical quantities. The results are used in describing the statistical properties of nuclear excitations, the energies of chaotic systems, the ultrasonic frequencies of structural materials, the zeros of the Riemann zeta function, and in general the characteristic energies of any sufficiently complicated system. Of special interest to physicists and mathematicians, the book is self-contained and the reader need know mathematics only at the undergraduate level. Key Features * The three Gaussian ensembles, unitary, orthogonal, and symplectic; their n-point correlations and spacing probabilities * The three circular ensembles: unitary, orthogonal, and symplectic; their equivalence to the Gaussian * Matrices with quaternion elements * Integration over alternate and mixed variables * Fredholm determinants and inverse scattering theory * A Brownian motion model of the matrices * Computation of the mean and of the variance of a number of statistical quantities * Selberg's integral and its consequences
http://www.amazon.com/gp/product/0124880517/?tag=2022091-20
Mehta, Madan Lal was born on December 24, 1932 in Relmagra, Rajasthan, India. Son of Pyar Chand and Jhamaku Devi (Bapna) Mehta. arrived in France, 1968.
He obtained his Master of Science in Mathematics from the University of Rajasthan (Jaipur) in 1956. In 1961, he received his Doctor of Philosophy under Claude Bloch working on materials at low density.
After two years at the Tata Institute of Fundamental Research in Bombay, he went to France in November 1958 to join the Department of Mathematical Physics (now the Department of Theoretical Physics) at Centre d"Etudes Nucléaires de Saclay. From 1962–1963, he worked at the Institute for Advanced Study in Princeton (United States of America). He then returned to India, working at Delhi University, before returning to the United States from 1966–1967 to work at Princeton University and Argonne National Laboratory.
Later, Mehta moved to the Department of Theoretical Physics at Center for Educational Affairs Saclay in September 1967, where he remained until the end of his academic career.
As National Center for Scientific Research hired him in 1970, Mehta acquired French citizenship in 1971. After his career at Center for Educational Affairs Saclay, he returned to India in January 2005 and died on December 10, 2006, in Udaipur.
Mehta spoke several languages, including English, French, Russian, Japanese, Mandarin and Hindi. Madan Lal Mehta is known for his work on random matrices.
His book "Random Matrices" is considered classic in the field
Eugene Wigner cited Mehta during his Society for Industrial and Applied Mathematics review on Random Matrices. Together with Michel Gaudin, Mehta developed the orthogonal polynomial method, a basic tool to study the eigenvalue distribution of invariant matrix ensembles. Together with Freeman Dyson, Mehta worked on Dyson"s circular ensembles.
Other well-known collaborators include P.K. Srivastava, North. Rozenzweig, J. of Cloizeaux, G. Mahoux, A. Pandey, J.M. Normand, I. Kostov and B. Eynard.
(Random Matrices and the Statistical Theory of Energy Leve...)
(Since the publication of Random Matrices (Academic Press,...)
( Random Matrices gives a coherent and detailed descripti...)
Married Denise Descamps, September 9, 1972 (divorced 1994). Children: Radjni, Divya. Married Rong Wang, June 23, 1996.