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Large Deviations Applied to Classical and Quantum Field Theory (Hardcover)
Loot Price: R3,851
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Large Deviations Applied to Classical and Quantum Field Theory (Hardcover)
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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 LDP to 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).
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