6 The theory of large deviations and applications to statistical mechanics
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From Large Deviations to Statistical Mechanics: What Is the Most Likely Way for an Unlikely Event To Happen? Stochastics Seminar Talk Institute of Mathematics Budapest University of Technology and Economics
This talk is an introduction to the theory of large deviations, which studies the asymptotic behavior of probabilities of rare events. The talk is accessible to a general mathematical audience including graduate students. The theory of large deviations has its roots in the work of Ludwig Boltzmann, the founder of statistical mechanics. In 1877 he did the first large deviation calculation in sci...
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Peridynamics is a nonlocal version of the continuum mechanics, in which partial differential equations are replaced by integro-differential ones. Due to not using spatial derivatives of the field variables, it can be applied to problems with discontinuities. In the primary studies, peridynamics has been used to simulate crack propagation in brittle materials. With proving the capabilities of pe...
متن کاملRobust uncapacitated multiple allocation hub location problem under demand uncertainty: minimization of cost deviations
The hub location–allocation problem under uncertainty is a real-world task arising in the areas such as public and freight transportation and telecommunication systems. In many applications, the demand is considered as inexact because of the forecasting inaccuracies or human’s unpredictability. This study addresses the robust uncapacitated multiple allocation hub location problem with a set of ...
متن کاملLarge Deviations in Quantum Lattice Systems: One-Phase Region
The theory of large deviations studies the probability of rare events: It seeks to determine at which rate the probabilities of untypical events (large deviations) vanish, when measured with a family of distributions converging to a limit. This is a standard setup in equilibrium statistical mechanics. Imagine a very large (formally infinite) mechanical system which is in an equilibrium state co...
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تاریخ انتشار 2009