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quant-ph2025
Semiclassical approximation for barrier billiards
Eugene Bogomolny
Barrier billiards are simple examples of pseudo-integrable models which form an appealing but poorly investigated subclass of dynamical systems. The paper examines the semiclassica…
quant-ph2011★ 32 cited
Multifractal dimensions for all moments for certain critical random matrix ensembles in the strong multifractality regime
E. Bogomolny, O. Giraud
We construct perturbation series for the q-th moment of eigenfunctions of various critical random matrix ensembles in the strong multifractality regime close to localization. Contr…