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Daily network digest

Thursday, July 30, 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 4.43× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.178
Clustering
0.451
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 0.00297 4.43× 35.9% 23.4% NJR, NNN, BNS, PEP, SKT
TD 2 0.00217 3.24× 30.9% 12.6% TRNO, PAA, PJT, BF.B, FIBK
COST 3 0.00211 3.16× 31.7% 17.9% EMA, ITW, PECO, WBD, NI
MPLX 4 0.00208 3.12× 33.5% 18.4% NDSN, BCO, CTVA, GATX, BMO
AFL 5 0.00203 3.04× 29.4% 14.2% CNI, AWR, CB, MPLX, EXPD
PEG 6 0.00203 3.03× 33.9% 17.5% KFY, BRX, TRNO, NSC, TROW
SO 7 0.00202 3.02× 27.7% 13.3% BHF, V, DOX, CPT, APD
PNW 8 0.00200 2.99× 28.1% 15.9% SO, NWSA, NHI, OTIS, TRP
PEN 9 0.00199 2.97× 32.6% 21.2% MFC, STN, PAGP, SUI, IDA
TXNM 10 0.00199 2.97× 31.5% 2.1% PAA, MPLX, WBS, CRUS, GBDC

Volatility watch

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

SymbolScore Recent volatility
NBIS 0.9745 16.41%
MU 0.9735 11.25%
CRWV 0.9732 12.63%
MXL 0.9730 14.47%
SNDK 0.9727 15.73%
TSEM 0.9720 9.28%
COHR 0.9704 9.38%
HUT 0.9703 13.02%
LITE 0.9702 9.95%
CIFR 0.9698 15.67%

Rising influence vs 2026-07-29

SymbolPageRank PreviousChange
BHF 0.002970.00114 +0.00183
ETN 0.001600.00010 +0.00150
CRUS 0.001320.00010 +0.00122
CSW 0.001310.00010 +0.00121
CF 0.001300.00010 +0.00120

Falling influence

SymbolPageRank PreviousChange
NMIH 0.000100.00150 -0.00140
AGCO 0.000100.00138 -0.00128
BNT 0.000100.00136 -0.00126
IONS 0.000100.00134 -0.00124
CWEN 0.000100.00131 -0.00121

Cryptocurrency

XAUTUSD was the most central name, carrying 6.94× the influence of an average node across 363 assets.

assets
363
Density
0.139
Clustering
0.374
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 0.01911 6.94× 73.5% 25.7% MASKUSD, JASMYUSD, JUPUSD, BCHGBP, ETHFIUSD
PAXGUSD 2 0.01717 6.23× 73.5% 33.4% MASKUSD, JUPUSD, JASMYUSD, GRTUSD, DENTUSD
REQUSD 3 0.01104 4.01× 50.6% 17.4% BCHUSD, BCHGBP, KMNOUSD, UNFIUSD, BTRSTUSD
UNFIUSD 4 0.01096 3.98× 51.4% 30.4% CROUSD, SUPERUSD, BCHGBP, BLASTUSD, ETHAUD
GOMININGUSD 5 0.01058 3.84× 48.1% 16.0% IOTUSD, SPAUSD, GALAUSD, CTSIUSD, PHAUSD
SUKUUSD 6 0.00949 3.45× 45.6% 24.0% NANOUSD, PYTHUSD, SHIBUSD, INVUSD, DNTUSD
OMNIUSD 7 0.00891 3.23× 38.7% 24.6% MDTUSD, ENJUSD, FLRUSD, SUKUUSD, NEIROUSD
AURORAUSD 8 0.00883 3.20× 39.2% 18.0% BATUSD, SEIEUR, XRPAUD, UNFIUSD, MOVRUSD
FISUSD 9 0.00851 3.09× 39.2% 13.0% STGUSD, DEGENUSD, C98USD, CRVUSD, ARKMUSD
SWELLUSD 10 0.00829 3.01× 43.6% 10.8% ETHAUD, DEXTUSD, RUNEUSD, BOBAUSD, BEAMUSD

Rising influence vs 2026-07-29

SymbolPageRank PreviousChange
XAUTUSD 0.019110.00506 +0.01405
PAXGUSD 0.017170.00540 +0.01176
UNFIUSD 0.010960.00298 +0.00798
REQUSD 0.011040.00454 +0.00650
GOMININGUSD 0.010580.00434 +0.00624

Falling influence

SymbolPageRank PreviousChange
OCEANUSD 0.002070.01052 -0.00845
TRACUSD 0.001650.00874 -0.00709
ACAUSD 0.007180.01258 -0.00539
OXTUSD 0.003670.00848 -0.00481
LCXUSD 0.001960.00672 -0.00476

Foreign exchange

ZMWZAR was the most central name, carrying 6.91× the influence of an average node across 544 pairs.

pairs
544
Density
0.038
Clustering
0.407
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
ZMWZAR 1 0.01271 6.91× 13.1% 11.8% XAUBRL, XAUZAR, DOPGBP, USDEGP, KRWMYR
ZARNGN 2 0.00877 4.77× 9.9% 7.4% SGDZAR, USDRUB, NOKRUB, MXNZAR, XAUBRL
EGPZAR 3 0.00788 4.28× 10.1% 8.8% SGDZAR, MXNZAR, ZARSGD, LKRZAR, KRWRUB
ARSAUD 4 0.00713 3.88× 14.4% 9.4% XAGBRL, BWPZAR, XAGMXN, XAGGBP, XAGJPY
USDMUR 5 0.00697 3.79× 3.9% 2.8% COPMXN, CADZAR, KWDEUR, JPYRSD, USDHUF
XAUAUD 6 0.00663 3.61× 13.3% 7.7% AUDIDR, RUBJPY, CZKNOK, PLNNOK, RUBKRW
OMRZAR 7 0.00597 3.25× 11.6% 6.3% ZARTRY, ZARNGN, USDEGP, ZARAED, EGPZAR
EURINR 8 0.00575 3.13× 1.1% 0.6% USDMUR, SCRUSD, USDSCR
USDUYU 9 0.00563 3.06× 6.4% 1.5% DOPUSD, DKKCOP, COPDKK, COPCLP, CADCOP
CHFTHB 10 0.00557 3.03× 5.5% 0.4% EURINR, JPYINR

Rising influence vs 2026-07-29

SymbolPageRank PreviousChange
CHFTHB 0.005570.00117 +0.00439
USDUYU 0.005630.00131 +0.00431
EURINR 0.005750.00163 +0.00411
DOPGBP 0.004840.00102 +0.00382
ZARJPY 0.004710.00097 +0.00375

Falling influence

SymbolPageRank PreviousChange
ZARINR 0.002490.00980 -0.00731
KRWRUB 0.003220.00830 -0.00509
CLPBRL 0.001640.00599 -0.00435
ZARUSD 0.001740.00556 -0.00383
PENCOP 0.000330.00410 -0.00377

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.