236 citations · 743 across the 25 of their papers we have counts for
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cond-mat.stat-mech2010★ 15 cited
Probability of graphs with large spectral gap by multicanonical Monte Carlo
Nen Saito, Yukito Iba
Graphs with large spectral gap are important in various fields such as biology, sociology and computer science. In designing such graphs, an important question is how the probabili…
nlin.CD2010★ 9 cited
Multicanonical Sampling of Rare Trajectories in Chaotic Dynamical Systems
Akimasa Kitajima, Yukito Iba
In chaotic dynamical systems, a number of rare trajectories with low level of chaoticity are embedded in chaotic sea, while extraordinary unstable trajectories can exist even in we…
cond-mat.stat-mech2010★ 30 cited
Multicanonical sampling of rare events in random matrices
Nen Saito, Yukito Iba, Koji Hukushima
A method based on multicanonical Monte Carlo is applied to the calculation of large deviations in the largest eigenvalue of random matrices. The method is successfully tested with…