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Problem in applying Takens correlation dimension

I am trying to implement Takens' correlation dimension for noisy time series formula given in Eq (8) in (Estimation of the dimension of a noisy attractor. Schouten JC, Takens F, van den Bleek CM ...
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Yutsis graphs in quantum theory

Cubic Yutsis graphs appear in the context of the quantum theory of angular momenta. The recognition of these graphs is NP-complete. Is there any implication to quantum physics if recognition of ...
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How to calculate the Partition function of a large sparse Hamiltonian(band matrix)?

As in most tight-binding atomic model, the Hamiltonian $H$ is sparse and in my problem, it is a band matrix. How to compute the partition function $Z = Tr\left( {{e^{ - \beta \hat H}}} \right)$ ...