Torsional rigidity, isospectrality and quantum graphs

Autor:	Patrick McDonald, Don Colladay, Leon Kaganovskiy
Rok vydání:	2016
Předmět:	Statistics and Probability Physics Pure mathematics 010102 general mathematics FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Mathematical Physics (math-ph) Mathematics::Spectral Theory 01 natural sciences 58J53 Mathematics - Spectral Theory 010104 statistics & probability Nonlinear Sciences::Exactly Solvable and Integrable Systems Planar Isospectral Modeling and Simulation Quantum graph FOS: Mathematics Graph (abstract data type) 0101 mathematics Spectral Theory (math.SP) Mathematical Physics Torsional rigidity
Zdroj:	Journal of Physics A: Mathematical and Theoretical. 50:035201
ISSN:	1751-8121 1751-8113
DOI:	10.1088/1751-8121/50/3/035201
Popis:	We study torsional rigidity for graph and quantum graph analogs of well-known pairs of isospectral non-isometric planar domains. We prove that such isospectral pairs are distinguished by torsional rigidity. Comment: 15 pages, 5 figures
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4911e8a714ad23451062f2229d9af9f https://doi.org/10.1088/1751-8121/50/3/035201 Zobrazit plný text záznamu