Spectral universality conjecture for asset-price trajectory matrices

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For each asset-price time series, form its trajectory matrix by the maximal trajectory-matrix construction used in the source, and consider the matrix's spectral distribution and spectral spacing distribution. Spectral universality. The spectral distribution and the spectral spacing distribution of trajectory matrices exhibits universality, across asset classes. This conjecture proposes that trajectory-matrix spectra and eigenvalue spacings are universal across asset classes; the source reports empirical evidence, but no resolution is given.

References

Primary source

Igor Rivin, “Fear Universality and Doubt in Asset price movements”, arXiv:1803.07138 (2018).

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