12 citations · 23 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2021★ 10 cited
Symmetry Violation of Quantum Multifractality: Gaussian fluctuations versus Algebraic Localization
A. M. Bilen, B. Georgeot, O. Giraud +2
Quantum multifractality is a fundamental property of systems such as non-interacting disordered systems at an Anderson transition and many-body systems in Hilbert space. Here we di…
nlin.CD2019★ 12 cited
Multifractality of open quantum systems
Agustín M. Bilen, Ignacio García-Mata, Bertrand Georgeot +1
We study the eigenstates of open maps whose classical dynamics is pseudointegrable and for which the corresponding closed quantum system has multifractal properties. Adapting the e…
nlin.AO2016★ 1 cited
Autonomous learning by simple dynamical systems with a discrete-time formulation
Agustín M. Bilen, Pablo Kaluza
We present a discrete-time formulation for the autonomous learning conjecture. The main feature of this formulation is the possibility to apply the autonomous learning scheme to sy…