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Daily network digest

Friday, July 24, 2026

Directed information-flow networks for this session, covering US equities, Cryptocurrency, Foreign exchange. Each class is estimated independently over a trailing one-year window; the tables below rank the assets carrying the most influence within their own network.

Jump to: US equities · Cryptocurrency · Foreign exchange

US equities

ATO was the most central name, carrying 3.40× the influence of an average node across 1496 stocks.

stocks
1496
Density
0.184
Clustering
0.457
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
ATO 1 0.00227 3.40× 31.9% 14.1% MA, PBA, BRK.A, KO, GHC
EMA 2 0.00221 3.31× 31.9% 14.2% PH, WMB, TJX, CRBG, DOV
AEP 3 0.00211 3.16× 35.7% 18.9% EGP, CSQ, MDLZ, RCI, PBA
BATRK 4 0.00209 3.13× 30.5% 11.0% ARMK, PBA, MO, MCD, FSV
CSQ 5 0.00203 3.04× 31.7% 5.8% JNJ, OHI, BCPC, MTCH, SU
AFL 6 0.00195 2.92× 36.5% 14.4% YUMC, ET, AEP, BATRA, D
RY 7 0.00195 2.92× 25.4% 7.7% THG, GILD, APD, MKL, CVS
DUK 8 0.00194 2.90× 29.4% 16.6% WRB, BATRK, EGP, INGR, STWD
EVRG 9 0.00187 2.80× 27.8% 12.9% ADC, BCE, AFG, STT, MDLZ
TD 10 0.00187 2.79× 25.3% 7.0% MFC, DLB, ITGR, EA, COLB

Volatility watch

Highest modelled probability of elevated volatility ahead. A research output, not a directional call.

SymbolScore Recent volatility
BE 0.9815 11.13%
MXL 0.9799 14.33%
CIFR 0.9798 10.03%
NBIS 0.9793 11.88%
AAOI 0.9790 9.99%
SNDK 0.9784 8.79%
LBRT 0.9778 12.00%
AXTI 0.9768 10.28%
ICHR 0.9751 7.94%
HUT 0.9734 6.73%

Rising influence vs 2026-07-23

SymbolPageRank PreviousChange
AEP 0.002110.00084 +0.00127
IONS 0.001370.00010 +0.00127
FHI 0.001340.00010 +0.00124
Z 0.001330.00010 +0.00123
MRK 0.001310.00010 +0.00121

Falling influence

SymbolPageRank PreviousChange
LAUR 0.000100.00149 -0.00139
APO 0.000100.00141 -0.00131
MATX 0.000100.00140 -0.00130
PFSI 0.000100.00139 -0.00129
NPO 0.000100.00139 -0.00129

Cryptocurrency

XAUTUSD was the most central name, carrying 6.48× the influence of an average node across 364 assets.

assets
364
Density
0.141
Clustering
0.373
Diameter
2

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
XAUTUSD 1 0.01781 6.48× 73.0% 28.7% MASKUSD, GRTUSD, ILVUSD, ETHFIUSD, XRPUSD
PAXGUSD 2 0.01593 5.80× 71.6% 30.3% MASKUSD, GRTUSD, JUPUSD, DOTUSD, DENTUSD
GOMININGUSD 3 0.01100 4.00× 49.9% 17.9% DNTUSD, SPAUSD, SNXUSD, GALAUSD, SGBUSD
UNFIUSD 4 0.01048 3.82× 51.2% 28.4% CROUSD, SNXUSD, SUPERUSD, PNUTUSD, CELRUSD
REQUSD 5 0.01017 3.70× 48.2% 19.3% KMNOUSD, BCHUSD, BTCEUR, MATHUSD, RUNEUSD
OMNIUSD 6 0.00945 3.44× 41.9% 25.1% MDTUSD, ENJUSD, BANDUSD, NEIROUSD, TUSD
SWELLUSD 7 0.00932 3.39× 44.6% 14.0% ETHAUD, BOBAUSD, COWUSD, DEXTUSD, TRXUSD
SUKUUSD 8 0.00901 3.28× 45.2% 27.0% NANOUSD, SHIBUSD, PYTHUSD, KP3RUSD, QIUSD
DRVUSD 9 0.00841 3.06× 46.3% 32.5% SBRUSD, CHRUSD, SHPINGUSD, ARPAUSD, C98USD
SPAUSD 10 0.00835 3.04× 41.0% 12.7% YFIUSD, NYMUSD, BICOUSD, XAUTUSD, PAXGUSD

Rising influence vs 2026-07-23

SymbolPageRank PreviousChange
XAUTUSD 0.017810.00438 +0.01343
PAXGUSD 0.015930.00469 +0.01123
UNFIUSD 0.010480.00277 +0.00771
GOMININGUSD 0.011000.00385 +0.00715
SWELLUSD 0.009320.00308 +0.00623

Falling influence

SymbolPageRank PreviousChange
OCEANUSD 0.002420.01039 -0.00797
TRACUSD 0.001560.00806 -0.00651
ACAUSD 0.006450.01171 -0.00526
OXTUSD 0.003800.00859 -0.00479
LCXUSD 0.002990.00761 -0.00463

Foreign exchange

USDEGP was the most central name, carrying 12.20× the influence of an average node across 541 pairs.

pairs
541
Density
0.037
Clustering
0.402
Diameter

Most central

Ranked by PageRank within the session's directed network. “vs average” shows influence relative to a node with no advantage — 1.00× would mean perfectly ordinary.

Symbol#PageRank vs averageReceives fromSends toStrongest outgoing
USDEGP 1 0.02255 12.20× 8.9% 2.2% SEKINR, ZARINR, NOKINR, ZARTRY, ZARMYR
ARSCOP 2 0.01015 5.49× 5.4% 3.7% LRDGBP, CDFGBP, GBPCDF, CDFUSD, GBPLYD
KRWTHB 3 0.00866 4.69× 5.6% 1.3% THBINR, XAUEUR, XAUMXN, XAUINR, XAUJPY
TZSZAR 4 0.00739 4.00× 10.4% 12.4% KRWINR, ZARTRY, ZARAED, LKRZAR, USDEGP
EUREGP 5 0.00701 3.79× 2.8% 1.1% EURMUR, EGPEUR, EURARS, ZARCOP, EURSCR
NADUSD 6 0.00682 3.69× 6.3% 2.2% MXNPEN, UYUGBP, GBPUYU, CLPMXN, CLPPEN
LKRZAR 7 0.00674 3.65× 16.3% 9.8% ZARAED, ZARTRY, ZARNGN, KRWINR, SEKINR
CHFRUB 8 0.00645 3.49× 10.6% 4.1% XAUINR, PENGBP, GBPPEN, PENCAD, MURUSD
COPMXN 9 0.00644 3.48× 9.1% 3.0% BRLKRW, MXNBRL, ZAREGP, HUFUSD, GBPRUB
COPCAD 10 0.00643 3.48× 6.1% 5.0% USDUGX, PENCLP, USDUYU, CLPCNY, ZARMWK

Rising influence vs 2026-07-23

SymbolPageRank PreviousChange
USDEGP 0.022550.00386 +0.01869
ARSCOP 0.010150.00224 +0.00791
KRWTHB 0.008660.00269 +0.00597
TZSZAR 0.007390.00227 +0.00512
SEKINR 0.005460.00065 +0.00480

Falling influence

SymbolPageRank PreviousChange
ZMWZAR 0.004710.01226 -0.00755
EGPZAR 0.001980.00812 -0.00614
ZARNGN 0.003180.00880 -0.00562
ARSAUD 0.001590.00687 -0.00528
USDMUR 0.002070.00731 -0.00524

How these numbers are produced

Transfer entropy measures how much knowing one asset's past reduces uncertainty about another's future, beyond what that asset's own past already explains. Unlike correlation it is directional, so an edge from A to B means A's moves carry information about B's next move — not merely that they move together.

Each night we estimate transfer entropy across three universes — roughly 1,500 US common stocks, 350 cryptocurrencies and 550 currency pairs — over a trailing one-year window, conditioning on a broad market series so that shared market-wide movement is discounted rather than counted as a link. Edges surviving the significance filter form that session's directed network, from which the centrality figures on this page are computed. Coverage differs by class: crypto reaches back to January 2024, equities to August 2025, so older digests may cover fewer classes.

PageRank ranks an asset by how much influence flows into it from other influential assets. In-degree and out-degree are the share of the network sending information to it and receiving information from it. Betweenness captures how often an asset sits on the shortest path between two others.

The volatility watch score is a model estimate of the probability that an asset sees elevated volatility in the coming sessions. It is a research output, not a forecast of price direction, and nothing on this page is investment advice.