This book covers a wide range of problems involving the applications of stochastic processes, stochastic calculus, large deviation theory, group representation theory and quantum statistics.
This book covers a wide range of problems involving the applications of stochastic processes, stochastic calculus, large deviation theory, group representation theory and quantum statistics to diverse fields in dynamical systems, electromagnetics, statistical signal processing, quantum information theory, quantum neural network theory, quantum filtering theory, quantum electrodynamics, quantum general relativity, string theory, problems in biology and classical and quantum fluid dynamics.
The selection of the problems has been based on courses taught by the author to undergraduates and postgraduates in Electronics and Communications Engineering.
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1. Stability Theory of Nonlinear Systems Based on Taylor Approximations
of the Nonlinearity
2. String Theory and Large Deviations
3. Ordinary,
Partial and Stochastic Differential Equation Models for Biological Systems,
Quantum Gravity, Hawking Radiation, Quantum Fluids, Statistical Signal
Processing, Group Representations, Large Deviations in Statistical Physics
4.
Research Topics on Representations
5. Some Problems in Quantum Information
Theory
6. Lectures on Statistical Signal Processing
7. Some Aspects of
Stochastic Processes
8. Problems in Electromagnetics and Gravitation
9. Some
More Aspects of Quantum Information Theory
10. Lecture Plan for Statistical
Signal Processing
11. My Commentary on the Ashtavakra Gita
12. LDP-UKF Based
Controller
13. Abstracts for a Book on Quantum Signal Processing Using
Quantum Field Theory
14. Quantum Neural Networks and Learning Using Mixed
State Dynamics for Open Quantum Systems
15. Quantum Gate Design, Magnet
Motion, Quantum Filtering, Wigner Distributions
16. Large Deviations for
Markov Chains, Quantum Master Equation, Wigner Distribution for the Belavkin
Filter
17. String and Field Theory with Large Deviations, Stochastic
Algorithm Convergence
Harish Parthasarathy received a B.tech degree in Electrical Engineering from IIT Kanpur and his PhD degree in Signal Processing from IIT Delhi in 1994. He worked as a visiting fellow in the Indian Institute of Astro Physics, Bangalore, from 1993 to 1994. He has worked as a member of faculty in the Electrical Engineering departments at IIT Bombay and IIT Kanpur. Currently, he is a professor in the Electronics and Communication Division in NSIT, Delhi. He teaches courses on Signal Processing Electromagnetics, transmission lines, wave guides & antennas and electives in quantum field theory, quantum robotics and quantum stochastic processes to undergraduate and postgraduate students. He has published over 70 papers in international journals and conferences and he has also published 12 books on a variety of topics in mathematical physics, signal processing and antenna theory.
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