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Three cases of complex eigenvalue/vector distributions of symmetric order-three random tensors
Swastik Majumder, Naoki Sasakura
Random tensor models have applications in a variety of fields, such as quantum gravity, quantum information theory, mathematics of modern technologies, etc., and studying their sta…
The Edge of Random Tensor Eigenvalues with Deviation
Nicolas Delporte, Naoki Sasakura
The largest eigenvalue of random tensors is an important feature of systems involving disorder, equivalent to the ground state energy of glassy systems or to the injective norm of…
Signed eigenvalue/vector distribution of complex order-three random tensor
Naoki Sasakura
We compute the signed distribution of the eigenvalues/vectors of the complex order-three random tensor by computing a partition function of a four-fermi theory, where signs are fro…
Usefulness of signed eigenvalue/vector distributions of random tensors
Max Regalado Kloos, Naoki Sasakura
Quantum field theories can be applied to compute various statistical properties of random tensors. In particular signed distributions of tensor eigenvalues/vectors are the easiest,…