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Shared analysis

PEP · daily cycle analysis

Random Walk regime · Hurst 0.541 · 15-bar daily cycle. Snapshot captured 2026-10-27 from a live FractalCycles analysis.

Hurst exponent
0.541
random-walk
Regime
Random Walk
Confidence 100%
Dominant cycle
15.0 bars
Next peak in 7 · trough in 14
Significant cycles
18
Out of 19 candidates

Price + composite cycle

Detrended composite of 9 selected cycles, scaled and overlaid on the most recent 600 bars. The dashed segment shows the cycle composite projected forward 363 bars.

119.3135.4151.5167.6183.7PriceComposite cycleProjection (363 bars)

Detected cycles

Cycles ranked by spectral power. Statistical significance is tested against the Bartels distribution against the platform default threshold; only cycles below that threshold are flagged significant.

RankPeriod (bars)Bartels pSignificantIn compositePhaseNext peakNext trough
16.000.000NoYesRising from trough14
215.00100.000YesYesApproaching peak29
343.00100.000YesYesJust past peak4120
462.00100.000YesYesApproaching peak334
540.00100.000YesYesJust past peak3616
620.00100.000YesYesRising toward zero616
736.00100.000YesNoFalling toward zero2911
873.00100.000YesNoRising from trough1148
9121.00100.000YesYesFalling below zero9130
1010.00100.000YesNoJust past trough49
1130.00100.000YesNoFalling below zero205
1225.00100.000YesYesApproaching trough152
1312.00100.000YesNoFalling below zero82
1455.00100.000YesYesJust past peak5326
1548.00100.000YesNoJust past peak4723

Power spectrum

Goertzel-DFT power across the analyzed period range. Peaks indicate candidate cycle lengths; statistical significance is tested separately via Bartels.

15.043.062.040.020.036.073.0121.054483122161200Period (bars)Power

How this snapshot was produced

Detrend method: hodrick-prescott. Sampling cadence: daily. Total bars analyzed: 600.

FractalCycles applies the Goertzel discrete Fourier transform across a candidate period range, tests each peak against the Bartels distribution for statistical significance, and classifies the current regime via the Hurst exponent (rescaled-range analysis). This snapshot represents the analysis output at the moment of sharing and does not update as new bars print.