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  1. The Berry–Keating operator on L2(\mathbb R_\gt,\rm dx) and on compact quantum graphs with general self-adjoint realizations
    2009/12/31 by Sebastian Endres, Frank Steiner · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Compact operator #Compact operator on Hilbert space #Eigenvalues and eigenvectors #Hilbert space #Mathematical Analysis and Transform Methods #Operator (biology) #Operator theory #Quantization (signal processing) #Quantum graph #Spectral Theory in Mathematical Physics #Spectral theory #Spectrum (functional analysis) #math-ph #math.MP #msc:81Q35
  2. Quantum Ergodicity for Graphs Related to Interval Maps
    2006/07/07 by G. Berkolaiko, J. P. Keating, U. Smilansky · 1 citation
    Mathematics · Physics and Astronomy · #Ergodic theory #Ergodicity #Limit (mathematics) #Mathematical Dynamics and Fractals #Observable #Operator (biology) #Quantum #Quantum chaos and dynamical systems #Quantum graph #Semiclassical physics #Sequence (biology) #Spectral Theory in Mathematical Physics #math-ph #math.MP