Parastatistics in Field Theory has got two distinguished classifications, viz., Para-Fermi Statistics, and Para-Bose Statistics. These series of lectures intends to develop a general formalism for parastatistics. The ...
This Report is based on the Lectures given by the then visiting Professor Dr. M. Jacob, from Service de Physique Theorique, CEN de Saclay, Seine et Oise, France. And these lecture notes are prepared by K. Raman. The ...
This report is based on the Lectures of Hagedorn, the visiting Professor at IMSc., during Nov.1963 - Jan. 1964). Notes prepared by T. S. Santhanam and K. Ananthanarayanan. In turn these lectures are based on the contents ...
This Report 'Lectures on Preliminaries to Functional Analysis', consists of 6 chapters. Chapter 1 gives an introduction about semi-metric, and metric spaces. Some examples, Comparison, Congruences, Equivalence classes ...
This is a collection of the reports on recent experimental data issued monthly during the year 1963, commencing from the month of April. The data cover strong electromagnetic and weak interactions. The section on many ...
This series of lectures are devoted to the nonlinear spinor theory of elementary particles which was proposed and investigated in its earliest form by Heisenberg. This course of lectures consists of five parts. General ...
Das, Bireswar(The Institute of Mathematical Sciences, 2010)
The complexity of graph isomorphism problem for restricted classes of graphs are studied and the complexity of group theoretic problems related graph isomorphism are investigated. Several problems closely related to the ...
Mitra, Mithun Kumar(The Institute of Mathematical Sciences, 2010)
This thesis studies the statistical mechanics of pressurized ring polymers. These can be thought of as a simple low-dimensional models for the understanding of vesicle shapes and phase transitions, a classic problem first ...
Raghavendra Rao, B. V.(The Institute of Mathematical Sciences, 2010)
This thesis is broadly divided into two parts: i) Study of width bounded arithmetic circuits, and ii) Computational complexity of matroid isomorphism problems. Various arithmetizations of boolean complexity class NC1 is ...
Limaye, Nutan(The Institute of Mathematical Sciences, 2010)
The Complexity classes contained in LogCFL is explored in this thesis by drawing connections to Language theory. Many depth reduction techniques involved in this process are studied along the way. The two factor-2 ...
Swagata Sarkar(The Institute of Mathematical Sciences, 2010)
Let f:Gn,k --> Gm,l be any continuous map between to distinct complex ( resp. quaternionic )Grassmann manifolds of the same dimension. It is shown that the degree of f is zero provided n, m are sufficiently large and ...
The idea behind the dispersion relation is as follows: A Physically significant function such as the scattering amplitude is considered, which is in general a function of the real variable k(momentum) and 'theta' (the ...
The aim of the series of lectures in 'Some topics in Quantum Electrodynamics', is to give an outline of quantum electrodynamic calculations with special emphasis on some work done by this group which might lead to some ...
This series of lectures discuss a detailed account of the formalism, and thereby the equivalence between this formalism and the ordinary one are planned. Some applications to the problems of Gauge transformations and of ...
Narayanan, N.(The Institute of Mathematical Sciences, 2010)
Three graph colouring problems are studied in this thesis with the main focus on 'acyclic edge colouring problem'. The first part of this thesis deals with some classes of graphs and improved upper bounds are obtained. ...
These notes are intended to serve as the first chapter of a forthcoming book on "Semigroups of operators and their applications", the applications being in the areas of differential equations, Markov processes, and ...
Lectures Given by Prof.E.C.G. Sudarshan during Summer 1962, and lecture Notes were prepared by Dr.T.K.Radha, Dr. Thunga Satyapal and Mr. K. Raman, IMSc., Chennai.