Alladi Ramakrishnan (1923–2008) was an eminent scientist who had a wide range of research interests in theoretical and mathematical physics. Professor Ramakrishnan made signi?cant contributions to probability and statistics, elem- tary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of relativity. Ramakrishnan believedstrongly that in addition to doing fun- mental research, one must contribute to the advancementof the profession. Inspired by his visit to the Institute for Advanced Study in Princeton in 1957–1958, he returned to Madras and began the Theoretical Physics Seminar at his family home Ekamra Nivas. These seminars were ultimately responsible for the creation of MATSCIENCE, The Institute of Mathematical Sciences in 1962. This institute, of which he was the Director for its ?rst 21years, has grown steadily in size and stature, and is his monumental contribution to the profession. In a distinguished scienti?c life that has spanned more than ?ve decades, Professor Ramakrishnan has come into close contact with, and was in?uenced by, several eminent mathema- cians and physicists, and has moulded the careers of his several students and young researchers. This volume, which is a tribute to his great legacy, not only deals with his signi?cant contributions to research and the profession, but also contains a ?ne collection of research and survey papers by leading physicists and mathematicians that cover a broad range of areas in the mathematical sciences.
Spis treści
The Legacy of Alladi Ramakrishnan.- Contributions of Alladi Ramakrishnan to the Mathematical Sciences.- Alladi Ramakrishnan’s Theoretical Physics Seminar.- Telegrams Received for the MATSCIENCE Inauguration.- The Miracle has Happened.- Overseas Trips of Alladi Ramakrishnan.- List of Publications of Alladi Ramakrishnan.- List of Ph D Students of Alladi Ramakrishnan.- Pure Mathematics.- Inversion and Invariance of Characteristic Terms: Part I.- Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities.- q-Catalan Identities.- Completing Brahmagupta’s Extension of Ptolemy’s Theorem.- A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook.- Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures.- How Often is n! a Sum of Three Squares?.- Eulerian Polynomials: From Euler’s Time to the Present.- Crystal Symmetry Viewed as Zeta Symmetry II.- Positive Homogeneous Minima for a System of Linear Forms.- The Divisor Matrix, Dirichlet Series, and SL(2, Z).- Proof of a Conjecture of Alladi Ramakrishnan on Circulants.- Probability and Statistics.- Branching Random Walks.- A Commentary on the Logistic Distribution.- Entropy and Cross Entropy: Characterizations and Applications.- Optimal Weights for a Class of Rank Tests for Censored Bivariate Data.- Connections Between Bernoulli Strings and Random Permutations.- Storage Models for a Class of Master Equations with Separable Kernels.- Theoretical Physics and Applied Mathematics.- Inverse Consistent Deformable Image Registration.- A Statistical Model for the Quark Structure of the Nucleon.- On Generalized Clifford Algebras and their Physical Applications.- (p, q)-Rogers-Szegö Polynomial and the (p, q)-Oscillator.- Rethinking Renormalization.-Magnetism, Fe S Colloids, and Origins of Life.- The Ehrenfest Theorem in Quantum Field Theory.
O autorze
Krishnaswami Alladi is the editor in Chief of Springer’s Ramanujan Journal, and the Development in Mathematics Book series. He was chair of the mathematics department of the University of Florida. In addition to his contributions of bibliographic material about his father, Krishnaswami Alladi has directed and organized the development of this tribute volume. C.R. Rao is inarguably the most prominent academic in the field of Statistics in current times. John Klauder has served on the Physics Advisory Panel of the NSF and been Editor of the Journal of Mathematical Physics, and as President of the International Association of Mathematical Physics.
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