I am a postdoc member at the Institute for Advanced Study, Princeton. My field of research is mathematical physics.

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

Towards universality of the nodal statistics on metric graphs - IAS analysis seminar 2020

Publications

Cerenkov 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), 1-2

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Nodal statistics on quantum graphs

L Alon, R Band, G Berkolaiko (2017)

Communications in Mathematical Physics 362 (3), 909-948. arXiv 1709.10413

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Neumann domains on graphs and manifolds

L Alon, R Band, M Bersudsky, S Egger (2020)

Analysis and Geometry on Graphs and Manifolds 461, 203. arXiv 1805.07612

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Neumann domains on quantum graphs

L Alon, R Band (2021)
Annals of Henri Poincare,22, 3391 - 3454. arXiv 1911.12435

Preprints

Universality of nodal count distribution in large metric graphs

L Alon, R Band, G Berkolaiko
arXiv 2106.06096

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Generic Laplace eigenfunctions on metric graphs

L Alon

arXiv 2203.16111

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Ph.D. thesis

Quantum graphs - Generic eigenfunctions and their nodal count and Neumann count statistics

L Alon

arXiv 2010.03004

Related Images

By clicking on each image you can see its description and a link to the relevant poster

Calculus 2

חדו"א 2ת

בלינק הבא תמצאו את התירגולים שלי בחדוא 2ת.  תירגלתי את הקורס בשנים 2015-2019

You can find my tutorial notes in the following link. These are in Hebrew

Complex Analysis

תורת הפונקציות (פונקציות מרוכבות)

בלינק הבא תמצאו את התירגולים שלי בתורת הפונקציות. תירגלתי את הקורס בחורף 18\19

You can find my tutorial notes in the following link.