On the Effective Size of a Non-Weyl Graph

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F16%3A50005008" target="_blank" >RIV/62690094:18470/16:50005008 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1088/1751-8113/49/37/375202" target="_blank" >http://dx.doi.org/10.1088/1751-8113/49/37/375202</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8113/49/37/375202" target="_blank" >10.1088/1751-8113/49/37/375202</a>

Result language
angličtina
Original language name
On the Effective Size of a Non-Weyl Graph
Original language description
We show how to find the coefficient by the leading term of the resonance asymptotics using the method of pseudo orbit expansion for quantum graphs which do not obey the Weyl asymptotics. For a non-Weyl graph we develop a method how to reduce the number of edges of a corresponding directed graph. Through this method we prove bounds on the above coefficient depending on the structure of the graph for graphs with the same lengths of internal edges. We explicitly find the positions of the resolvent resonances.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GJ15-14180Y" target="_blank" >GJ15-14180Y: Spectral and resonance properties of quantum models</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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