Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Ralf Rueckriemen"'
Publikováno v:
Proceedings of the London Mathematical Society. 118:675-700
The mutually enriching relationship between graphs and matroids has motivated discoveries in both fields. In this paper, we exploit the similar relationship between embedded graphs and delta-matroids. There are well-known connections between geometri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9d65cfede3fa344f0e7c6aadcf2aed45
https://doi.org/10.1112/plms.12190
https://doi.org/10.1112/plms.12190
Autor:
Ralf Rueckriemen
Publikováno v:
Annales de l’institut Fourier. 63:1149-1176
We define the Bloch spectrum of a quantum graph to be the collection of the spectra of a family of Schrodinger operators parametrized by the cohomology of the quantum graph. We show that the Bloch spectrum determines the Albanese torus, the block str
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a26513b7ca5fb928b482d6e24982a6c
https://doi.org/10.5802/aif.2786
https://doi.org/10.5802/aif.2786
Publikováno v:
Applied Mathematics Research eXpress.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::174e0a5a92b28175f77460c476859d1b
https://doi.org/10.1093/amrx/abu009
https://doi.org/10.1093/amrx/abu009
Autor:
Uzy Smilansky, Ralf Rueckriemen
This work explores the spectra of quantum graphs where the Schr\"odinger operator on the edges is equipped with a potential. The scattering approach, which was originally introduced for the potential free case, is extended to this case and used to de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::919f80a88aadf4a26a319b7d14529ac4
http://arxiv.org/abs/1208.3072
http://arxiv.org/abs/1208.3072
