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On Brownian exit times from perturbed multi-strips

Author

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  • Lifshits, M.
  • Nazarov, A.

Abstract

We consider the tail probabilities for Brownian exit time from a class of perturbed multi-strips in Euclidean plane. Under some assumptions we prove that the long stays in a perturbed multi-strip are more likely than those in a strip of the same width. This effect is related to the existence of the trapped modes in waveguides.

Suggested Citation

  • Lifshits, M. & Nazarov, A., 2019. "On Brownian exit times from perturbed multi-strips," Statistics & Probability Letters, Elsevier, vol. 147(C), pages 1-5.
    • Handle: RePEc:eee:stapro:v:147:y:2019:i:c:p:1-5
    DOI: 10.1016/j.spl.2018.11.026
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