A novel matrix-valued Hurst operator construction for 2D fBm with cross-dependencies is introduced, with derived auto/cross-covariances and power spectral densities validated by simulations.
Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking
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Two-dimensional fractional Brownian motion: Analysis in time and frequency domains
A novel matrix-valued Hurst operator construction for 2D fBm with cross-dependencies is introduced, with derived auto/cross-covariances and power spectral densities validated by simulations.