Large Deviation Theory approximates rare voltage collapse probabilities via first- and second-order instanton methods that locate the most probable failure point and incorporate boundary curvature.
An introduction to large deviations with applications in physics
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Exact large deviation function and closed-form conditional mean first-passage time derived for Poisson process crossing linear moving barrier.
Dynamical observables in chaotic systems share the same large deviation rate function when their g functions differ by a 'derived' function, making derived observables have N-independent symmetric distributions.
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Computing Rare Probabilities of Voltage Collapse
Large Deviation Theory approximates rare voltage collapse probabilities via first- and second-order instanton methods that locate the most probable failure point and incorporate boundary curvature.
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A first passage problem for a Poisson counting process with a linear moving boundary
Exact large deviation function and closed-form conditional mean first-passage time derived for Poisson process crossing linear moving barrier.
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Remarkable similarities in distributions of dynamical observables in chaotic systems
Dynamical observables in chaotic systems share the same large deviation rate function when their g functions differ by a 'derived' function, making derived observables have N-independent symmetric distributions.