A revised analysis of the exit problem at weak noise, and a simpler computation of the quasipotential with two variables

2012/04/20 by Dietrich Ryter, Ryter, Dietrich
Mathematics · Physics and Astronomy · #60G #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1204.4681

openalex publication_date 2012/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A new approach for the weak noise analysis of exit problems removes an intrinsic contradiction of an existing method. It applies for both the mean time and the location of the exits; novel outcomes mainly concern the exits from entire domains of attraction. Moreover, the involved quasipotential is obtained without use of a Hamiltonian system in the case of two variables.

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