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The Eyring-Kramers law for Markovian jump processes with symmetries
Abstract : We prove an Eyring-Kramers law for the small eigenvalues and mean first-passage times of a metastable Markovian jump process which is invariant under a group of symmetries. Our results show that the usual Eyring-Kramers law for asymmetric processes has to be corrected by a factor computable in terms of stabilisers of group orbits. Furthermore, the symmetry can produce additional Arrhenius exponents and modify the spectral gap. The results are based on representation theory of finite groups.
Cited literature [35 references]
https://hal.archives-ouvertes.fr/hal-00913302
Contributor : Nils Berglund Connect in order to contact the contributor
Submitted on : Friday, October 3, 2014 - 3:18:19 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:05 PM
Long-term archiving on: : Sunday, January 4, 2015 - 10:50:11 AM
Contributor : Nils Berglund Connect in order to contact the contributor
Submitted on : Friday, October 3, 2014 - 3:18:19 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:05 PM
Long-term archiving on: : Sunday, January 4, 2015 - 10:50:11 AM
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