Ph.D. candidate at the Technion in the field of mathematical physics.
Advisor - Ram Band.
My research focuses on Quantum Graphs - spectral geometry of metric graphs:
Nodal domains and magnetic stability.
Neumann domains.
Generic properties of eigenfunctions.
The geometry of the space of eigenfunctions.
Contact
Lioralon 'at' campus.technion.ac.il
Technion, Math dep. office 522
A Quantum Graph
This gif shows the evolution of a wave function on a quantum graph.
In this plot we see |f(x,t)|^2 (the probability density) changing in time according to Schrödinger's equation, starting from a Gaussian of positive velocity.
Research
Video
On a universal limit conjecture for the nodal count statistics of quantum graphs
a talk I gave at the IAS (Oct 2019)
Published papers (or in press)
Nodal Statistics on Quantum Graphs
L. Alon, R. Band, G. Berkolaiko
Communications in Mathematical Physics 362 (2018) p. 909-948.
arXiv:1709.10413Cerenkov radiation from particles carrying orbital angular momentum in a cylindrical waveguide
Y Shapira, M Mutzafi, G Harari, I Kaminer, L Alon, M Segev
2016 Conference on Lasers and Electro-Optics (CLEO), 1-2Neumann Domains on Graphs and Manifolds
L. Alon, R. Band, M. Bersudsky, S. Egger. (In press) proceedings of the conference'Analysis and geometry on graphs and manifolds', Cambridge University Press. arXiv:1805.07612
Preprint
Neumann Domains on Quantum Graphs
L. Alon, R. Band
arXiv:1911.12435
In preparation
Generic Eigenfunctions of Quantum Graphs
L. AlonOn a universal limit conjecture for the nodal count statistics of quantum graphs
L. Alon, R. Band, G. Berkolaiko
Related Images
By clicking on each image you can see its description and a link to the relevant poster
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Contact
Technion, Math dep. office 522
lioralon54 'at' gmail.com