Shared analysis2026-09-26

^DJI · daily cycle analysis

Random Walk regime · Hurst 0.513 · 8-bar daily cycle. Snapshot captured 2026-09-26 from a live FractalCycles analysis.

Hurst exponent

0.513

random-walk

Regime

Random Walk

Confidence 98%

Dominant cycle

8.0 bars

Next peak in 3 · trough in 7

Significant cycles

Out of 15 candidates

Price + composite cycle

Detrended composite of 7 selected cycles, scaled and overlaid on the most recent 600 bars. The dashed segment shows the cycle composite projected forward 131 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.

Rank	Period (bars)	Bartels p	Significant	In composite	Phase	Next peak	Next trough
1	8.00	100.000	Yes	Yes	Just past trough	3	7
2	39.00	100.000	Yes	Yes	Just past trough	16	35
3	18.00	100.000	Yes	No	Rising toward zero	5	14
4	12.00	100.000	Yes	No	Rising toward zero	4	10
5	44.00	100.000	Yes	Yes	Just past trough	21	43
6	75.00	100.000	Yes	Yes	Falling toward zero	58	21
7	24.00	100.000	Yes	Yes	Just past trough	11	23
8	62.00	100.000	Yes	Yes	Approaching trough	38	7
9	49.00	100.000	Yes	No	Approaching trough	26	2
10	131.00	100.000	Yes	Yes	Falling below zero	84	19
11	16.00	100.000	Yes	No	Rising toward zero	4	12
12	29.00	100.000	Yes	No	Rising from trough	6	21
13	27.00	100.000	Yes	No	Rising toward zero	8	22
14	10.00	100.000	Yes	No	Just past trough	4	9
15	31.00	100.000	Yes	No	Rising from trough	7	23

Power spectrum

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

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.