35 citations · 128 across the 7 of their papers we have counts for
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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…
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…
Quantum ergodicity for graphs related to interval maps
G. Berkolaiko, J. P. Keating, U. Smilansky
We prove quantum ergodicity for a family of graphs that are obtained from ergodic one-dimensional maps of an interval using a procedure introduced by Pakonski et al (J. Phys. A, v.…
No quantum ergodicity for star graphs
G. Berkolaiko, J. P. Keating, B. Winn
We investigate statistical properties of the eigenfunctions of the Schrodinger operator on families of star graphs with incommensurate bond lengths. We show that these eigenfunctio…