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- K Okunishi, Y Hieida, Y Akutsu
- Physical review. E, Statistical physics, plasmas…
- 1999

We study the asymptotic behavior of the eigenvalue distribution of the corner transfer matrix (M(CTM)) and the density matrix (M(DM)) in the density-matrix renormalization group. We utilize the relationship M(DM)=M(4)(CTM), which holds for noncritical systems in the thermodynamic limit. We derive the exact and universal asymptotic form of the M(DM)… (More)

Department of Physics, Graduate School of Science, Kobe University, 657-8501 1 Department of Applied Physics, Graduate School of Engineering, Osaka University, 565-0781 2 Department of Physics, Faculty of Science, Niigata University, 950-2181 3 Department of Physics, Graduate School of Science, Osaka University, 560-0043 4 Institute of Physics, Slovak… (More)

Traffic congestion is usually observed at the upper streams of bottlenecks like tunnels. Congestion appears as stop-and-go waves and high density uniform flow. We perform simulations of traffic flow with a bottleneck using the coupled map optimal velocity model. The bottleneck is expressed as a road segment with speed reduction. The emergence of stop-andgo… (More)

- N Maeshima, Y Hieida, Y Akutsu, T Nishino, K Okunishi
- Physical review. E, Statistical, nonlinear, and…
- 2001

We present a new algorithm to calculate the thermodynamic quantities of three-dimensional (3D) classical statistical systems, based on the ideas of the tensor product state and the density matrix renormalization group. We represent the maximum-eigenvalue eigenstate of the transfer matrix as the product of local tensors that are iteratively optimized by the… (More)

- Yoshitsugu Matsubara, Yasuhiro Hieida, Shin-ichi Tadaki
- ArXiv
- 2013

Power-law correlations have been observed in packet flow over the Internet. The possible origin of these correlations includes demand for Internet services. We observe the demand for e-mail services in an organization, and analyze correlations in the flow and the sequence of send requests using a Detrended Fluctuation Analysis (DFA). The correlation in the… (More)

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