Non-trapping surfaces of revolution with long-living resonances

Kiril R. Datchev; Daniel D. Kang; Andre P. Kessler

doi:10.4310/MRL.2015.v22.n1.a3

Non-trapping surfaces of revolution with long-living resonances

Kiril R. Datchev, Daniel D. Kang, Andre P. Kessler

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

Abstract

We study resonances of surfaces of revolution obtained by removing a disk from a cone and attaching a hyperbolic cusp in its place. These surfaces include ones with non-trapping geodesic flow (every maximally extended non-reflected geodesic is unbounded) and yet infinitely many long-living resonances (resonances with uniformly bounded imaginary part, i.e., decay rate).

Original language	English (US)
Pages (from-to)	23-42
Number of pages	20
Journal	Mathematical Research Letters
Volume	22
Issue number	1
DOIs	https://doi.org/10.4310/MRL.2015.v22.n1.a3
State	Published - 2015
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Non-trapping surfaces of revolution with long-living resonances",

abstract = "We study resonances of surfaces of revolution obtained by removing a disk from a cone and attaching a hyperbolic cusp in its place. These surfaces include ones with non-trapping geodesic flow (every maximally extended non-reflected geodesic is unbounded) and yet infinitely many long-living resonances (resonances with uniformly bounded imaginary part, i.e., decay rate).",

author = "Datchev, {Kiril R.} and Kang, {Daniel D.} and Kessler, {Andre P.}",

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year = "2015",

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language = "English (US)",

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AU - Kang, Daniel D.

AU - Kessler, Andre P.

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AB - We study resonances of surfaces of revolution obtained by removing a disk from a cone and attaching a hyperbolic cusp in its place. These surfaces include ones with non-trapping geodesic flow (every maximally extended non-reflected geodesic is unbounded) and yet infinitely many long-living resonances (resonances with uniformly bounded imaginary part, i.e., decay rate).

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JO - Mathematical Research Letters

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Non-trapping surfaces of revolution with long-living resonances

Abstract

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