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math-ph2023
Multifractality for intermediate quantum systems
Henrik Ueberschaer
While quantum multifractality has been widely studied in the physics literature and is by now well understood from the point of view of physics, there is little work on this subjec…
math-ph2021★ 4 cited
Multifractal eigenfunctions for a singular quantum billiard
Jonathan P. Keating, Henrik Ueberschaer
Whereas much work in the mathematical literature on quantum chaos has focused on phenomena such as quantum ergodicity and scarring, relatively little is known at the rigorous level…
math-ph2015★ 1 cited
Spectral geometry of flat tori with random impurities
Henrik Ueberschaer
We discuss new results on the geometry of eigenfunctions in disor- dered systems. More precisely, we study tori , , with uniformly distributed Dirac masses. Wherea…