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Daily network digest

Thursday, July 16, 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 3.48× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.182
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 0.00233 3.48× 33.3% 13.9% PSMT, MA, KO, PBA, BRK.A
EMA 2 0.00227 3.39× 32.9% 12.8% PH, MCD, WMB, SWX, DOV
AEP 3 0.00212 3.16× 34.9% 18.3% EGP, PBA, MDLZ, SNA, BNL
BATRK 4 0.00208 3.11× 31.0% 13.1% MCD, WMB, MFC, PBA, MO
RY 5 0.00201 3.01× 25.8% 7.8% APD, THG, GILD, TW, CAH
EVRG 6 0.00196 2.93× 28.5% 14.3% ADC, BCE, STT, KMB, AFG
DTE 7 0.00195 2.92× 33.8% 14.5% SO, SUI, PH, PFE, WAB
PBA 8 0.00195 2.91× 29.3% 16.7% NNI, OGS, TRV, NNN, ADC
WBD 9 0.00193 2.88× 37.7% 21.2% GFL, HOMB, PRI, NFG, ADP
AFL 10 0.00192 2.87× 35.7% 15.4% YUMC, BCE, ED, RY, TXNM

Volatility watch

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

SymbolScore Recent volatility
SNDK 0.9660 8.91%
ACMR 0.9654 5.93%
AXTI 0.9632 11.39%
MXL 0.9631 7.83%
CIFR 0.9630 5.06%
PENG 0.9597 4.20%
AAOI 0.9577 9.63%
IREN 0.9564 3.77%
ASTS 0.9553 8.05%
FORM 0.9523 5.21%

Rising influence vs 2026-07-15

SymbolPageRank PreviousChange
AEP 0.002120.00082 +0.00129
IONS 0.001390.00010 +0.00129
MRK 0.001340.00010 +0.00124
IVZ 0.001330.00010 +0.00123
VST 0.001280.00010 +0.00118

Falling influence

SymbolPageRank PreviousChange
AMTM 0.000100.00161 -0.00151
LAUR 0.000100.00145 -0.00135
NPO 0.000100.00143 -0.00133
MATX 0.000100.00141 -0.00131
PFSI 0.000100.00138 -0.00128

Cryptocurrency

XAUTUSD was the most central name, carrying 7.20× the influence of an average node across 364 assets.

assets
364
Density
0.139
Clustering
0.364
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 0.01977 7.20× 76.6% 24.8% RAREUSD, HFTUSD, BONKUSD, POLISUSD, KEYUSD
PAXGUSD 2 0.01717 6.25× 75.2% 21.2% RAREUSD, KEYUSD, LSKUSD, BONKUSD, ORCAUSD
SBRUSD 3 0.01024 3.73× 47.9% 22.3% TRXUSD, ILVUSD, UNFIUSD, HFTUSD, COWUSD
AERGOUSD 4 0.00904 3.29× 50.7% 15.4% PONDUSD, XAUTUSD, MDTUSD, CFGUSD, KP3RUSD
SKYUSD 5 0.00847 3.08× 43.5% 15.2% AXLUSD, PYRUSD, SUPERUSD, INDEXUSD, VOXELUSD
MULTIUSD 6 0.00839 3.05× 43.3% 24.5% SUKUUSD, WHBTUSD, CPOOLUSD, GLMUSD, PRCLUSD
LTCBTC 7 0.00838 3.05× 46.0% 8.3% ALPHAUSD, PRIMEUSD, MULTIUSD, ALCXUSD, CPOOLUSD
RENUSD 8 0.00789 2.87× 41.3% 28.4% POLUSD, SKYUSD, BEAMUSD, RAYUSD, FORTHUSD
MNGOUSD 9 0.00782 2.84× 41.9% 38.8% PROUSD, ACAUSD, SBRUSD, ALPHAUSD, ASMUSD
SWFTCUSD 10 0.00779 2.84× 40.8% 8.8% JUNOUSD, XAUTUSD, SUKUUSD, UNFIUSD, QNTUSD

Rising influence vs 2026-07-15

SymbolPageRank PreviousChange
SBRUSD 0.010240.00412 +0.00611
FXSUSD 0.007520.00216 +0.00536
RENUSD 0.007890.00314 +0.00475
MULTIUSD 0.008390.00369 +0.00470
LTCBTC 0.008380.00371 +0.00467

Falling influence

SymbolPageRank PreviousChange
GOMININGUSD 0.003410.01588 -0.01247
REQUSD 0.001870.01040 -0.00853
OMNIUSD 0.003560.00984 -0.00628
LEOUSD 0.002410.00741 -0.00500
KNCUSD 0.002530.00736 -0.00483

Foreign exchange

ZMWZAR was the most central name, carrying 6.19× the influence of an average node across 545 pairs.

pairs
545
Density
0.039
Clustering
0.417
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 0.01136 6.19× 15.4% 10.1% XAUBRL, DOPGBP, XAUZAR, USDEGP, NOKRUB
ZARNGN 2 0.00894 4.87× 10.1% 8.5% SGDZAR, USDRUB, NOKRUB, MXNZAR, ZARTRY
EGPZAR 3 0.00760 4.14× 10.3% 8.6% SGDZAR, MXNZAR, KRWRUB, ZARSGD, BRLRUB
USDMUR 4 0.00704 3.84× 4.2% 2.9% KWDEUR, JPYRSD, COPMXN, CADZAR, ARSZAR
XAUAUD 5 0.00689 3.76× 14.2% 7.0% AUDIDR, CZKNOK, PLNNOK, RUBJPY, AUDBRL
ARSAUD 6 0.00670 3.65× 14.0% 9.0% XAGBRL, BWPZAR, XAGMXN, XAGSAR, XAGGBP
BWPCHF 7 0.00610 3.32× 6.3% 2.9% BDTJPY, EURRUB, GHSUSD, ZARGHS, CHFBWP
OMRZAR 8 0.00599 3.26× 12.1% 7.5% ZARTRY, ZARNGN, USDEGP, USDRUB, EGPZAR
CHFTHB 9 0.00585 3.19× 5.7% 0.6% EURINR, JPYINR, XAUJPY
GBPUYU 10 0.00570 3.10× 6.3% 1.7% DOPUSD, COPDKK, DKKCOP, COPCLP, GBPCOP

Rising influence vs 2026-07-15

SymbolPageRank PreviousChange
CHFTHB 0.005850.00125 +0.00460
USDUYU 0.005570.00131 +0.00425
ZARNGN 0.008940.00483 +0.00411
EURINR 0.005550.00165 +0.00390
ZARJPY 0.004650.00088 +0.00376

Falling influence

SymbolPageRank PreviousChange
ZARINR 0.002510.01014 -0.00763
EURETB 0.000290.00470 -0.00440
PENCOP 0.000720.00452 -0.00380
USDDOP 0.001530.00511 -0.00358
AEDSEK 0.001880.00534 -0.00346

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.