The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries

Alexander Eizenberg; Yuri Kifer

doi:10.1007/BF00960068

The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries

Alexander Eizenberg^*
, Yuri Kifer

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We consider diffusion random perturbations of a dynamical system S^t in a domain G⊂R^m which, in particular, may be invariant under the action of S^t. Continuing the study of [K1-K4] we find the asymptotic behavior of the principal eigenvalue of the corresponding generator when the diffusion term tends to zero.

Original language	English
Pages (from-to)	439-476
Number of pages	38
Journal	Probability Theory and Related Fields
Volume	76
Issue number	4
DOIs	https://doi.org/10.1007/BF00960068
State	Published - Dec 1987

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title = "The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries",

abstract = "We consider diffusion random perturbations of a dynamical system St in a domain G⊂Rm which, in particular, may be invariant under the action of St. Continuing the study of [K1-K4] we find the asymptotic behavior of the principal eigenvalue of the corresponding generator when the diffusion term tends to zero.",

author = "Alexander Eizenberg and Yuri Kifer",

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AB - We consider diffusion random perturbations of a dynamical system St in a domain G⊂Rm which, in particular, may be invariant under the action of St. Continuing the study of [K1-K4] we find the asymptotic behavior of the principal eigenvalue of the corresponding generator when the diffusion term tends to zero.

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The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries

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