Inverse spectral problem for quantum graphs with rationally dependent edges

Marlena Nowaczyk

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

In this paper we study the problem of unique reconstruction of the quantum graphs. The idea is based on the trace formula which establishes the relation between the spectrum of Laplace operator and the set of periodic orbits, the number of edges and the total length of the graph. We analyse conditions under which is it possible to reconstruct simple graphs containing edges with rationally dependent lengths.
Original languageEnglish
Title of host publicationOperator Theory, Analysis and Mathematical Physics
PublisherBirkhäuser
Pages105-116
Volume174
ISBN (Print)978-3-7643-8134-9
DOIs
Publication statusPublished - 2007
EventInternational Conference on Operator Theory and Its Applications in Mathematical Physics - Bedlewo, Poland
Duration: 0001 Jan 2 → …

Publication series

Name
Volume174

Conference

ConferenceInternational Conference on Operator Theory and Its Applications in Mathematical Physics
Country/TerritoryPoland
CityBedlewo
Period0001/01/02 → …

Subject classification (UKÄ)

  • Mathematics

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