87 citations · 682 across the 31 of their papers we have counts for
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nlin.CD2013★ 6 cited
Quantum graphs whose spectra mimic the zeros of the Riemann zeta function
Jack Kuipers, Quirin Hummel, Klaus Richter
One of the most famous problems in mathematics is the Riemann hypothesis: that the non-trivial zeros of the Riemann zeta function lie on a line in the complex plane. One way to pro…
math-ph2013★ 17 cited
Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions
G. Berkolaiko, J. Kuipers
Electronic transport through chaotic quantum dots exhibits universal behaviour which can be understood through the semiclassical approximation. Within the approximation, transport…
math-ph2013★ 25 cited
Combinatorial theory of the semiclassical evaluation of transport moments I: Equivalence with the random matrix approach
G. Berkolaiko, J. Kuipers
To study electronic transport through chaotic quantum dots, there are two main theoretical approachs. One involves substituting the quantum system with a random scattering matrix a…