In a distinguished scientific life that had spanned over five decades, Alladi Ramakrishnan made significant contributions to probability and statistics, elementary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of relativity. Inspired by his visit to the Institute of Advanced Study during 1957-1958, and the direct influences of Robert Oppenheimer, Niels Bohr, Sir C.V. Raman, S. Chandrasekhar, and other notable contemporaries, he later founded the Institute of Mathematical Sciences (MATSCIENCE) in Madras, India. In the spirit of Alladi Ramakrishnan’s profound interest and contributions to three fields of science — Mathematics, Statistics, and Physics — this volume contains invited surveys and research articles from prominent members of these communities who also knew Ramakrishnan personally and greatly respected his influence in these areas of science. Historical photos, telegrams, and biographical narratives of Alladi Ramakrishnan’s illustrious career of special interest are included as well.
Author(s): Krishnaswami Alladi (auth.), Krishnaswami Alladi, John R. Klauder, Calyampudi R. Rao (eds.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 2010
Language: English
Pages: 575
Tags: Algebra;Number Theory;Probability Theory and Stochastic Processes;Theoretical, Mathematical and Computational Physics
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Contributions of Alladi Ramakrishnan to the Mathematical Sciences....Pages 3-9
Alladi Ramakrishnan’s Theoretical Physics Seminar....Pages 11-24
Telegrams Received for the MATSCIENCE Inauguration....Pages 25-65
The Miracle has Happened....Pages 67-71
Overseas Trips of Alladi Ramakrishnan....Pages 73-80
List of Publications of Alladi Ramakrishnan....Pages 81-87
List of PhD Students of Alladi Ramakrishnan....Pages 89-89
Front Matter....Pages 91-91
Inversion and Invariance of Characteristic Terms: Part I....Pages 93-168
Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities....Pages 169-182
q -Catalan Identities....Pages 183-190
Completing Brahmagupta’s Extension of Ptolemy’s Theorem....Pages 191-197
A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook....Pages 199-210
Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures....Pages 211-241
How Often is n ! a Sum of Three Squares?....Pages 243-251
Eulerian Polynomials: From Euler’s Time to the Present....Pages 253-273
Crystal Symmetry Viewed as Zeta Symmetry II....Pages 275-292
Positive Homogeneous Minima for a System of Linear Forms....Pages 293-297
The Divisor Matrix, Dirichlet Series, and SL(2, Z)....Pages 299-327
Proof of a Conjecture of Alladi Ramakrishnan on Circulants....Pages 329-334
Front Matter....Pages 335-335
Branching Random Walks....Pages 337-349
Front Matter....Pages 335-335
A Commentary on the Logistic Distribution....Pages 351-357
Entropy and Cross Entropy: Characterizations and Applications....Pages 359-367
Optimal Weights for a Class of Rank Tests for Censored Bivariate Data....Pages 369-388
Connections Between Bernoulli Strings and Random Permutations....Pages 389-399
Storage Models for a Class of Master Equations with Separable Kernels....Pages 401-415
Front Matter....Pages 417-417
Inverse Consistent Deformable Image Registration....Pages 419-440
A Statistical Model for the Quark Structure of the Nucleon....Pages 441-463
On Generalized Clifford Algebras and their Physical Applications....Pages 465-489
( p , q )-Rogers-Szegö Polynomial and the ( p , q )-Oscillator....Pages 491-501
Rethinking Renormalization....Pages 503-528
Magnetism, FeS Colloids, and Origins of Life....Pages 529-564
The Ehrenfest Theorem in Quantum Field Theory....Pages 565-575
