Stanford Advisors


All Publications


  • Observations of Subduction, Downward Heat Flux and Dense Filament Collapse in the Northern Gulf of Mexico JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS Hilditch, J. P., Bergentz, K., Northcott, D., Luko, C., Cohanim, K., Schlichting, D., Sanchez-rios, A., Weiss, K., Hetland, R., MacKinnon, J., Nash, J., Shearman, R., Thomas, L. N. 2025; 130 (11)
  • Refraction of near-inertial waves by submesoscale vorticity filaments JOURNAL OF FLUID MECHANICS Hilditch, J. P., Taylor, J. R., Thomas, L. N. 2025; 1020
  • Expected correlation in time-series analysis. Physical review. E MacMillan, T., Hilditch, J. P., Ouellette, N. T. 2025; 111 (2-1): 024121

    Abstract

    Time-series analysis often involves the characterization of order or predictability, qualities that are related to internal structure and autocorrelation. Investigating a recently proposed algorithm for solving a density prediction task, we demonstrate that if the same system can be viewed on multiple time scales, there is an inevitable degree of expected order and predictability that increases as the system size grows. In particular, we introduce bounds on the expected second-order structure function and autocorrelation function of a time series where multiple observation scales are available, and conclude with a lower bound on the expected correlation time. Such a lower bound shows that there is an inevitable degree of correlation induced when time-series data is aggregated, quantifying a previously overlooked source of bias towards high correlations.

    View details for DOI 10.1103/PhysRevE.111.024121

    View details for PubMedID 40103100

  • Blocked Drainpipes and Smoking Chimneys: Discovery of New Near-Inertial Wave Phenomena in Anticyclones Oceanography Thomas, L. N., Moum, J. N., Qu, L., Hilditch, J. P., Kunze, E., Rainville, L., Lee, C. M. 2024

    View details for DOI 10.5670/oceanog.2024.304

  • Parametric subharmonic instability of inertial shear at ocean fronts JOURNAL OF FLUID MECHANICS Hilditch, J. P., Thomas, L. N. 2023; 966