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Daily network digest

Tuesday, July 21, 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

EMA was the most central name, carrying 3.47× the influence of an average node across 1496 stocks.

stocks
1496
Density
0.185
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
EMA 1 0.00232 3.47× 32.7% 14.6% PH, WMB, TJX, CRBG, LBRDK
ATO 2 0.00223 3.33× 31.5% 14.4% PBA, KO, MA, BRK.A, PSMT
BATRK 3 0.00211 3.16× 30.0% 11.4% ARMK, WMB, MFC, FSV, THG
AEP 4 0.00208 3.11× 35.2% 18.0% EGP, CSQ, RCI, PBA, IRT
CSQ 5 0.00197 2.95× 30.5% 6.3% JNJ, OHI, SU, BCPC, KMI
DUK 6 0.00192 2.87× 30.7% 16.7% INGR, TRNO, WRB, RLI, GFL
RY 7 0.00190 2.85× 26.0% 8.2% THG, APD, MCD, GILD, TW
AFL 8 0.00190 2.84× 36.3% 14.9% YUMC, AEP, ACGL, ITGR, TRP
INGR 9 0.00188 2.81× 27.4% 16.0% CNI, EG, CMS, BMO, NNN
WBD 10 0.00187 2.79× 36.5% 22.0% GFL, CSQ, FR, WES, PRI

Volatility watch

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

SymbolScore Recent volatility
CIFR 0.9762 10.67%
AAOI 0.9749 10.97%
NBIS 0.9740 11.43%
MXL 0.9727 11.63%
SNDK 0.9725 10.43%
BE 0.9711 11.06%
ALM 0.9701 7.92%
ASTS 0.9667 10.84%
ACMR 0.9621 9.21%
MU 0.9606 7.73%

Rising influence vs 2026-07-17

SymbolPageRank PreviousChange
BNT 0.001560.00010 +0.00146
AGCO 0.001410.00010 +0.00131
BOKF 0.001360.00010 +0.00126
Z 0.001330.00010 +0.00123
CWEN 0.001320.00010 +0.00122

Falling influence

SymbolPageRank PreviousChange
BHF 0.001190.00305 -0.00186
ETN 0.000100.00165 -0.00155
CF 0.000100.00163 -0.00153
HASI 0.000100.00151 -0.00141
AXP 0.000100.00138 -0.00128

Cryptocurrency

XAUTUSD was the most central name, carrying 6.56× the influence of an average node across 364 assets.

assets
364
Density
0.136
Clustering
0.369
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 0.01802 6.56× 71.9% 29.5% MASKUSD, GRTUSD, JASMYUSD, OMGUSD, BADGERUSD
PAXGUSD 2 0.01652 6.01× 71.6% 33.3% MASKUSD, JASMYUSD, GRTUSD, BADGERUSD, JUPUSD
GOMININGUSD 3 0.01301 4.74× 54.0% 16.3% PHAUSD, CTSIUSD, SPAUSD, OMGUSD, GALAUSD
REQUSD 4 0.01091 3.97× 47.7% 19.0% UNFIUSD, KMNOUSD, XCNUSD, BCHUSD, BTCEUR
UNFIUSD 5 0.01075 3.91× 51.2% 22.9% CROUSD, BLASTUSD, SNXUSD, CELRUSD, SUPERUSD
OMNIUSD 6 0.01041 3.79× 47.9% 27.3% ENJUSD, MDTUSD, VARAUSD, FLRUSD, NEIROUSD
SWELLUSD 7 0.00978 3.56× 45.5% 11.8% ETHAUD, BOBAUSD, FLOWUSD, DEXTUSD, CFGUSD
SUKUUSD 8 0.00869 3.16× 42.4% 21.8% NANOUSD, DNTUSD, SHIBUSD, PYTHUSD, KNCUSD
FISUSD 9 0.00840 3.06× 38.6% 11.0% STGUSD, C98USD, TRUUSD, GTCUSD, REPUSD
AURORAUSD 10 0.00830 3.02× 36.9% 17.6% BATUSD, REQUSD, MOVRUSD, CVXUSD, UNFIUSD

Rising influence vs 2026-07-20

SymbolPageRank PreviousChange
XAUTUSD 0.018020.00477 +0.01325
PAXGUSD 0.016520.00523 +0.01130
GOMININGUSD 0.013010.00411 +0.00890
UNFIUSD 0.010750.00279 +0.00796
SWELLUSD 0.009780.00312 +0.00666

Falling influence

SymbolPageRank PreviousChange
OCEANUSD 0.002610.01027 -0.00766
ACAUSD 0.005150.01215 -0.00700
TRACUSD 0.001650.00760 -0.00594
ACSUSD 0.001870.00725 -0.00538
LCXUSD 0.002890.00813 -0.00524

Foreign exchange

USDEGP was the most central name, carrying 12.16× the influence of an average node across 549 pairs.

pairs
549
Density
0.036
Clustering
0.394
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 0.02214 12.16× 8.9% 2.2% SEKINR, ZARTRY, ZARINR, NOKINR, ZARMYR
ARSCOP 2 0.00948 5.21× 4.6% 3.1% LRDGBP, CDFGBP, GBPCDF, BWPUSD, USDBWP
KRWTHB 3 0.00855 4.69× 5.3% 1.5% THBINR, XAUMXN, XAUINR, CHFINR, XAUJPY
EUREGP 4 0.00734 4.03× 2.6% 1.1% EURMUR, EGPEUR, ZARCOP, USDSZL, EURARS
LKRZAR 5 0.00713 3.91× 16.2% 9.5% ZARAED, ZARNGN, ZARTRY, KRWINR, SEKINR
NADUSD 6 0.00691 3.80× 6.2% 2.0% MXNPEN, CLPMXN, GBPUYU, UYUGBP, CLPARS
CHFRUB 7 0.00686 3.77× 10.9% 3.8% XAUINR, PENGBP, XAUJPY, PENCAD, GBPPEN
ZARSGD 8 0.00683 3.75× 8.4% 8.6% KRWRUB, INRGBP, GBPINR, HUFZAR, HUFEUR
COPMXN 9 0.00671 3.68× 9.7% 2.9% BRLKRW, MXNBRL, HUFUSD, GBPEGP, ZAREGP
TZSZAR 10 0.00654 3.59× 9.7% 12.4% KRWINR, ZARAED, ZARSGD, USDEGP, LKRZAR

Rising influence vs 2026-07-20

SymbolPageRank PreviousChange
USDEGP 0.022140.00362 +0.01852
ARSCOP 0.009480.00223 +0.00726
KRWTHB 0.008550.00277 +0.00577
SEKINR 0.005330.00061 +0.00471
COPMXN 0.006710.00215 +0.00456

Falling influence

SymbolPageRank PreviousChange
ZMWZAR 0.004660.01224 -0.00758
ZARNGN 0.003060.00916 -0.00610
EGPZAR 0.001910.00777 -0.00586
USDMUR 0.002000.00685 -0.00485
XAUAUD 0.002140.00641 -0.00427

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.