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Daily network digest

Wednesday, July 22, 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

BHF was the most central name, carrying 4.56× the influence of an average node across 1496 stocks.

stocks
1496
Density
0.177
Clustering
0.456
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
BHF 1 0.00305 4.56× 36.7% 21.7% NNN, CPRT, KO, OTIS, SKT
TD 2 0.00233 3.49× 31.8% 8.6% RHP, PJT, MPC, MTD, EPD
PEG 3 0.00214 3.20× 37.5% 15.7% SO, KFY, AMP, XEL, CFR
PEN 4 0.00209 3.13× 35.6% 21.1% PNW, PAGP, IDA, CM, SR
COST 5 0.00209 3.13× 31.1% 19.5% EMA, ITW, WBD, NI, LNT
TXNM 6 0.00209 3.13× 32.8% 0.3% GBDC, WBS, REXR, FERG, GGG
BNS 7 0.00206 3.08× 31.0% 16.2% WTRG, PFG, PG, AVB, LNT
PNW 8 0.00205 3.06× 28.3% 14.3% NHI, SO, AIZ, THG, TRP
MPLX 9 0.00204 3.05× 36.5% 19.1% NDSN, RGA, BMO, ALLE, EXR
SO 10 0.00199 2.98× 27.9% 12.7% BHF, APD, DOX, COST, BCE

Volatility watch

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

SymbolScore Recent volatility
CIFR 0.9821 10.64%
AAOI 0.9806 9.33%
ALM 0.9759 5.83%
AXTI 0.9734 11.70%
ACMR 0.9726 9.04%
RIOT 0.9704 7.26%
NBIS 0.9699 11.44%
SNDK 0.9696 9.79%
MXL 0.9677 11.55%
ONDS 0.9664 6.51%

Rising influence vs 2026-07-21

SymbolPageRank PreviousChange
BHF 0.003050.00119 +0.00186
ETN 0.001620.00010 +0.00152
HASI 0.001520.00010 +0.00142
CSW 0.001350.00010 +0.00125
WSO 0.001330.00010 +0.00123

Falling influence

SymbolPageRank PreviousChange
BNT 0.000100.00156 -0.00146
AGCO 0.000100.00141 -0.00131
BOKF 0.000100.00136 -0.00126
Z 0.000100.00133 -0.00123
CRBG 0.000100.00133 -0.00123

Cryptocurrency

XAUTUSD was the most central name, carrying 7.13× the influence of an average node across 363 assets.

assets
363
Density
0.142
Clustering
0.367
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 0.01963 7.13× 75.7% 24.3% RAREUSD, POLISUSD, LSKUSD, EWTUSD, BONKUSD
PAXGUSD 2 0.01675 6.08× 72.1% 22.9% RAREUSD, KEYUSD, BONKUSD, ORCAUSD, LSKUSD
AERGOUSD 3 0.00937 3.40× 48.1% 16.0% PONDUSD, MDTUSD, CFGUSD, XAUTUSD, RSRUSD
MULTIUSD 4 0.00863 3.13× 42.3% 24.6% WHBTUSD, RARIEUR, GLMUSD, AMPUSD, SUKUUSD
SBRUSD 5 0.00860 3.12× 41.7% 22.1% HFTUSD, ILVUSD, UNFIUSD, TRXUSD, SPXUSD
FISUSD 6 0.00796 2.89× 39.0% 6.4% BICOUSD, ZROUSD, TONUSD, ALEOUSD, REPUSD
SKYUSD 7 0.00780 2.83× 37.0% 13.3% AXLUSD, GTCUSD, VOXELUSD, TIAUSD, PYRUSD
MNGOUSD 8 0.00757 2.75× 40.1% 40.1% ALPHAUSD, PNUTUSD, PROUSD, ACAUSD, DOTUSD
RENUSD 9 0.00724 2.63× 37.6% 30.4% POLUSD, BEAMUSD, NMRUSD, MLNUSD, SKYUSD
RARIEUR 10 0.00704 2.56× 34.5% 28.7% SHDWUSD, SAMOUSD, ETHUSD, OXTUSD, CBETHUSD

Rising influence vs 2026-07-21

SymbolPageRank PreviousChange
FXSUSD 0.006510.00179 +0.00472
SBRUSD 0.008600.00391 +0.00470
GLMUSD 0.006000.00171 +0.00429
XRPBTC 0.006610.00247 +0.00414
MULTIUSD 0.008630.00458 +0.00404

Falling influence

SymbolPageRank PreviousChange
GOMININGUSD 0.002800.01301 -0.01021
REQUSD 0.002230.01091 -0.00868
OMNIUSD 0.003610.01041 -0.00680
AURORAUSD 0.002410.00830 -0.00589
LEOUSD 0.002670.00737 -0.00470

Foreign exchange

ZARINR was the most central name, carrying 5.70× the influence of an average node across 522 pairs.

pairs
522
Density
0.036
Clustering
0.395
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
ZARINR 1 0.01092 5.70× 2.9% 0.4% XAUGBP, ZMWZAR
ZMWZAR 2 0.01040 5.43× 12.5% 9.2% ZARTRY, ZARNGN, RUBKRW, XAUUSD, NOKRUB
XAUGBP 3 0.00715 3.73× 6.9% 14.8% XAURUB, XAUAUD, KRWRUB, AUDIDR, XAUZAR
USDMUR 4 0.00628 3.28× 8.4% 1.5% MUREUR, AEDSEK, AUDFJD, ARSJPY, ARSCHF
EURILS 5 0.00624 3.26× 9.4% 4.0% XAUMXN, XAUJPY, XAUEUR, CHFAED, DKKAED
GBPUYU 6 0.00604 3.15× 5.8% 1.9% UYUGBP, DOPUSD, COPDKK, COPCAD, CLPCOP
ZARUSD 7 0.00578 3.02× 7.3% 4.2% USDMUR, ILSZAR, GBPTHB, DKKHUF, SGDBRL
USDEGP 8 0.00563 2.94× 9.6% 8.8% SEKINR, CHFHUF, GBPHUF, HUFEUR, HUFCHF
AEDSEK 9 0.00560 2.92× 4.2% 1.5% CNYZAR, GBPRUB, ZARUSD, USDHUF, HKDARS
XAUJPY 10 0.00557 2.91× 10.6% 7.3% GBPNGN, USDMUR, ILSZAR, HKDJPY, TRYZAR

Rising influence vs 2026-07-21

SymbolPageRank PreviousChange
ZARINR 0.010920.00398 +0.00695
ZMWZAR 0.010400.00466 +0.00574
AEDSEK 0.005600.00049 +0.00511
ILSZAR 0.005470.00067 +0.00480
XAUGBP 0.007150.00277 +0.00438

Falling influence

SymbolPageRank PreviousChange
USDEGP 0.005630.02214 -0.01651
ARSCOP 0.001200.00948 -0.00828
KRWTHB 0.001810.00855 -0.00674
RUBUSD 0.001040.00599 -0.00495
CHFRUB 0.001940.00686 -0.00492

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.