Cover -- Half Title -- Title Page -- Copyright Page -- Preface -- Brief Contents -- Table of Contents -- 1. LDP Problems in Quantum Field Theory -- 1.1 Large Deviations for Supergravity Fields -- 1.2 Rate Function of String Propagator -- 1.3 Large Deviations for p-form Fields -- 1.4 The Dynamics of the Electro-weak Theory -- 1.5 Filtering in Fermionic Noise -- 1.6 Quantum Field Theory is a Low Energy Limit of String Field Theory -- 1.7 The Atiyah-Singer Index Theorem and LDP Problems Associated with It -- 1.8 LDP Problems in General Relativity -- 2. LDP in Biology, Neural Networks, Electromagnetic Measurements, Cosmic Expansion -- 2.1 The Importance of Mathematical Models in Medicine -- 2.2 LDP Related Problems in Neural Networks and Artificial Intelligence -- 2.3 LDP Related Problems to Cosmic Expansion in General Relativity -- 2.4 LDP Problems in Biology -- 2.5 A Sensitive Quantum Mechanical Method for Measuring the Scattered Electromagnetic Fields -- 3. LDP in Signal Processing, Communication and Antenna Design -- 3.1 Review -- 3.2 Large Deviation Problems in SSB Modulation -- 3.3 What is Meant by Estimating a Quantum Field in Space-time -- 3.4 Write Down the Noisy Schrodinger Equation for an N Particle System in the Formalism of Hudson and Parthasarathy and Derive by Partial Tracing, the Approximate Nonlinear Stochastic Boltzmann Equation for the State Evolution of a Single Particle (Evolution of the Marginal Density with Noise) -- 3.5 The pde's Satisfied by the Quantum Electromagnetic Field Observables in a Cavity Resonator in the Presence of Bath Noise -- 3.6 Estimating the Quantum State of a Single Particle in a System of N Indistinguishable Particles Interacting with Each Other and with an External Bath Field -- 4. LDP Applied to Quantum Measurement, Classical Markov Chains, Quantum Stochastics and Quantum Transition Probabilities.