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Daily network digest

Wednesday, July 29, 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 3.26× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.184
Clustering
0.455
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 0.00218 3.26× 29.1% 14.4% BRK.A, KO, PBA, BEN, GHC
EMA 2 0.00208 3.12× 30.4% 13.5% WMB, TJX, NSC, PH, RACE
AEP 3 0.00207 3.09× 35.9% 19.6% PBA, EGP, MDLZ, WTRG, RCI
BATRK 4 0.00205 3.07× 29.9% 12.2% ARMK, NSC, UDR, MCD, FSV
AFL 5 0.00197 2.94× 34.9% 14.0% YUMC, BATRA, RHP, ITGR, ACGL
INGR 6 0.00188 2.81× 27.5% 15.1% MAA, BMO, EMA, WTRG, AB
RY 7 0.00187 2.79× 24.4% 10.0% MCD, MS, WRB, THG, GILD
OGS 8 0.00185 2.77× 27.9% 19.2% BATRK, INGR, THG, NSC, WRB
WTM 9 0.00185 2.76× 27.4% 18.9% INGR, AMH, NJR, AB, SPG
DUK 10 0.00185 2.76× 28.8% 17.5% WRB, INGR, TRNO, STWD, SUI

Volatility watch

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

SymbolScore Recent volatility
LMND 0.9769 12.17%
IREN 0.9766 5.34%
CIFR 0.9761 7.47%
SNDK 0.9756 6.11%
AAOI 0.9750 6.54%
NBIS 0.9741 7.98%
HUT 0.9729 7.43%
RIOT 0.9728 6.39%
SMCI 0.9683 4.56%
AMKR 0.9667 11.19%

Rising influence vs 2026-07-28

SymbolPageRank PreviousChange
IONS 0.001340.00010 +0.00124
AEP 0.002070.00085 +0.00121
Z 0.001300.00010 +0.00120
IVZ 0.001290.00010 +0.00119
LLYVA 0.001260.00010 +0.00116

Falling influence

SymbolPageRank PreviousChange
LAUR 0.000100.00143 -0.00133
NPO 0.000100.00142 -0.00132
APO 0.000100.00140 -0.00130
AMTM 0.000100.00139 -0.00129
PFSI 0.000100.00139 -0.00129

Cryptocurrency

ACAUSD was the most central name, carrying 4.56× the influence of an average node across 363 assets.

assets
363
Density
0.138
Clustering
0.362
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
ACAUSD 1 0.01258 4.56× 58.3% 13.8% RAREUSD, FIDAUSD, DRVUSD, GHSTUSD, BLURUSD
OMNIUSD 2 0.01193 4.33× 51.9% 15.7% LCXUSD, LMWRUSD, MATHUSD, MOVRUSD, PHAUSD
OCEANUSD 3 0.01052 3.82× 51.1% 22.4% SPAUSD, XRPUSD, TRUMPUSD, ACSUSD, SHPINGUSD
SUKUUSD 4 0.01030 3.74× 46.4% 30.7% BCHEUR, MNGOUSD, PYRUSD, SCUSD, YFIUSD
FISUSD 5 0.00971 3.53× 48.1% 13.0% OXTUSD, BEAMUSD, BTCEUR, STRKUSD, ETCUSD
SWFTCUSD 6 0.00923 3.35× 44.8% 13.0% CTXUSD, NYMUSD, ALEOUSD, XYOUSD, OMNIUSD
TRACUSD 7 0.00874 3.17× 45.3% 41.2% AVTUSD, FLRUSD, AUCTIONUSD, WIFUSD, GUSD
OXTUSD 8 0.00848 3.08× 30.1% 19.1% HOPRUSD, AXSUSD, IOUSD, FOXUSD, GFIUSD
ELAUSD 9 0.00815 2.96× 39.0% 29.6% AIOZUSD, JASMYUSD, VTHOUSD, STXUSD, LSKUSD
SHPINGUSD 10 0.00793 2.88× 36.2% 18.5% FLOKIUSD, OMNIUSD, AVAXUSD, MNGOUSD, XMRUSD

Rising influence vs 2026-07-28

SymbolPageRank PreviousChange
OMNIUSD 0.011930.00351 +0.00842
OCEANUSD 0.010520.00283 +0.00768
ACAUSD 0.012580.00641 +0.00616
TRACUSD 0.008740.00262 +0.00612
OXTUSD 0.008480.00256 +0.00592

Falling influence

SymbolPageRank PreviousChange
XAUTUSD 0.005060.02124 -0.01619
PAXGUSD 0.005400.01873 -0.01333
AERGOUSD 0.002380.01018 -0.00781
XRPBTC 0.001320.00734 -0.00602
JUNOUSD 0.001130.00616 -0.00503

Foreign exchange

ZMWZAR was the most central name, carrying 7.58× the influence of an average node across 537 pairs.

pairs
537
Density
0.034
Clustering
0.391
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 0.01411 7.58× 12.9% 8.2% ZARTRY, ZARNGN, XAUUSD, MYRNZD, KRWMYR
ZARINR 2 0.00980 5.26× 3.0% 0.2% ZMWZAR
KRWRUB 3 0.00830 4.46× 17.4% 6.9% ARSAUD, ARSCAD, XAURUB, XAUBRL, RUBGBP
USDMUR 4 0.00626 3.36× 8.2% 1.7% MUREUR, AUDFJD, AEDSEK, ARSCHF, ARSJPY
EURILS 5 0.00613 3.29× 9.7% 3.9% XAUJPY, XAUEUR, XAUMXN, AUDKRW, HKDARS
CLPBRL 6 0.00599 3.22× 4.7% 2.2% DOPUSD, COPDKK, UYUGBP, LKRGBP, LKRUSD
XAUJPY 7 0.00599 3.22× 10.1% 7.6% ILSZAR, GBPNGN, HKDJPY, USDMUR, GBPSCR
USDEGP 8 0.00563 3.02× 8.6% 7.6% SEKINR, GBPHUF, HUFEUR, CHFHUF, HUFCHF
LKRZAR 9 0.00562 3.02× 10.8% 8.6% USDZAR, ZARNGN, AEDZAR, ZARAED, COPBRL
ZARUSD 10 0.00556 2.99× 7.1% 4.3% GBPTHB, USDMUR, XAUEUR, ILSZAR, DKKHUF

Rising influence vs 2026-07-28

SymbolPageRank PreviousChange
ZMWZAR 0.014110.00462 +0.00949
ZARINR 0.009800.00407 +0.00573
KRWRUB 0.008300.00291 +0.00539
AEDSEK 0.005430.00046 +0.00498
HKDBRL 0.004790.00052 +0.00426

Falling influence

SymbolPageRank PreviousChange
USDEGP 0.005630.02107 -0.01544
ARSCOP 0.001540.00966 -0.00812
KRWTHB 0.001760.00827 -0.00651
RUBUSD 0.000890.00595 -0.00507
COPMXN 0.001730.00673 -0.00500

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.