Characterization of the Most Probable Transition Paths of Stochastic Dynamical Systems with Stable Lévy Noise

2018/12/31 by Huang, Yuanfei, Chao, Ying, Yuan, Shenglan +1 · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1812.11684

Abstract

This work is devoted to the investigation of the most probable transition path for stochastic dynamical systems driven by either symmetric α-stable Lévy motion (0

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• Transition Path Theory For Lévy-Type Processes: SDE Representation and Statistics
• Lévy noise drives an exponential acceleration in transition rates within metastable systems

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