TY  - JOUR
A1  - Debussche, Arnaud
A1  - Högele, Michael
A1  - Imkeller, Peter
T1  - Localization and metastability
T2  - Lecture notes in mathematics : a collection of informal reports and seminars
T2  - Lecture Notes in Mathematics
N2  - In this chapter, equipped with our previously obtained knowledge of exit and transition times in the limit of small noise amplitude ??0 , we shall investigate the global asymptotic behavior of our jump diffusion process in the time scale in which transitions occur, i.e. in the scale given by ?0(?)=?(1?Bc?(0)),?,?>0 . It turns out that in this time scale, the switching of the diffusion between neighborhoods of the stable solutions ? ± can be well described by a Markov chain jumping back and forth between two states with a characteristic Q-matrix determined by the quantities ?((D±0)c)?(Bc?(0)) as jumping rates.
Y1  - 2013
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/35288
SN  - 978-3-319-00828-8; 978-3-319-00827-1
SN  - 0075-8434
VL  - 2085
SP  - 131
EP  - 149
PB  - Springer
CY  - Berlin
ER  -