中图分类法:	O413.3 版次：
题名:	Large deviations applied to classical and quantum field theory / / ,
出版发行:	出版地： Boca Raton : 出版社： CRC Press, 出版日期： 2022.
载体形态:	xiv, 254 pages ; 24 cm
附注:	Includes index.
内容提要:	This book deals with a variety of problems in Physics and Engineering where the large deviation principle of probability finds application. Large deviations is a branch of probability theory dealing with approximate computation of the probabilities of rare events. It contains applications of the LDPto pattern recognition problems like analysis of the performance of the EM algorithm for optimal parameter estimation in the presence of weak noise, analysis and control of non-Abelian gauge fields in the presence of noise, and quantum gravity wherein we are concerned with perturbation to the quadratic component of the Einstein-Hilbert Hamiltonian caused by higher order nonlinear terms in the position fields and their effect on the Gibbs statistics and consequently quantum probabilities of events computed using the quantum Gibbs state. The reader will also find in this book applications of LDP to quantum filtering theory as developed by Belavkin based on the celebrated Hudson-Parthasarathy quantum stochastic calculus. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan and Bhutan)
主题词:	Field theory (Physics) Mathematics.
主题词:	Quantum field theory Mathematics.
主题词:	Large deviations.
主要责任者:	Parthasarathy, Harish, Parthasarathy, Harish,