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Daily network digest

Tuesday, September 9, 2025

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

EXPD was the most central name, carrying 2.52× the influence of an average node across 1492 stocks.

stocks
1492
Density
0.176
Clustering
0.426
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
EXPD 1 0.00169 2.52× 25.0% 13.6% L, PAYX, MCD, AVA, NFG
SPG 2 0.00166 2.48× 23.4% 14.3% CW, TGNA, PTC, AXS, CASY
PBA 3 0.00164 2.45× 21.9% 14.6% ITW, L, AB, SPG, SON
CME 4 0.00162 2.42× 31.4% 20.4% OGE, DUK, ECL, RBA, RSG
CUZ 5 0.00159 2.37× 35.7% 17.6% GIB, SHW, DCI, MA, NI
TU 6 0.00156 2.33× 30.6% 17.3% MNST, L, EPD, WTM, ARCC
REG 7 0.00156 2.32× 25.0% 15.5% BRK.A, HWM, SPG, OBDC, VTR
DE 8 0.00154 2.29× 31.9% 14.5% BRK.A, SPG, RBA, TD, CB
MAIN 9 0.00150 2.24× 23.5% 17.1% PBA, BNS, GIB, KMB, AON
OHI 10 0.00150 2.24× 22.9% 12.6% BKH, IT, PG, TRMB, CCEP

Rising influence vs 2025-09-08

SymbolPageRank PreviousChange
CUZ 0.001590.00010 +0.00149
WH 0.001350.00010 +0.00125
PCVX 0.001310.00010 +0.00121
TOST 0.001290.00010 +0.00119
FLUT 0.001270.00010 +0.00117

Falling influence

SymbolPageRank PreviousChange
ESLT 0.000100.00166 -0.00156
PYPL 0.000100.00144 -0.00134
CMA 0.000100.00144 -0.00134
OMF 0.000100.00139 -0.00129
HL 0.000100.00137 -0.00127

Cryptocurrency

TRXUSD was the most central name, carrying 6.84× the influence of an average node across 219 assets.

assets
219
Density
0.092
Clustering
0.319
Diameter
3

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
TRXUSD 1 0.03124 6.84× 51.8% 13.8% FOXUSD, AIOZUSD, LSKUSD, YGGEUR, ETHBTC
LTCBTC 2 0.02750 6.02× 47.2% 22.9% TUSD, TRXUSD, ICPUSD, AERGOUSD, XRPBTC
XMRUSD 3 0.02133 4.67× 30.3% 24.8% DYDXEUR, KEEPUSD, BTCJPY, AIOZUSD, PUNDIXUSD
LCXUSD 4 0.01967 4.31× 37.6% 16.5% HNTUSD, SRMUSD, BTRSTUSD, PUNDIXUSD, LSKUSD
KEEPUSD 5 0.01779 3.90× 32.1% 10.1% TRXUSD, NEXOUSD, PRIMEUSD, PNKUSD, BONDUSD
BTCEUR 6 0.01655 3.62× 39.9% 14.2% LTCBTC, CHREUR, TRXUSD, NANOUSD, CHZUSD
KRLUSD 7 0.01651 3.62× 42.2% 10.6% UMAUSD, USTUSD, GNOUSD, NEXOUSD, TRXUSD
BTCJPY 8 0.01551 3.40× 33.5% 12.4% UMAUSD, REPUSD, QTUMUSD, VETUSD, OGNUSD
BTRSTUSD 9 0.01525 3.34× 28.0% 15.1% WBTCUSD, BTCJPY, LTCBTC, BTCUSD, TRXUSD
BTCAUD 10 0.01316 2.88× 33.5% 6.4% LTCBTC, DIAUSD, BTRSTUSD, CVXUSD, AVTUSD

Rising influence vs 2025-09-08

SymbolPageRank PreviousChange
KEEPUSD 0.017790.00272 +0.01506
LTCBTC 0.027500.01336 +0.01413
TRXUSD 0.031240.01725 +0.01399
BTCJPY 0.015510.00332 +0.01219
XMRUSD 0.021330.00969 +0.01164

Falling influence

SymbolPageRank PreviousChange
XAUTUSD 0.003660.01694 -0.01328
BONDUSD 0.010940.02236 -0.01142
MKRUSD 0.005210.01575 -0.01054
KAVAUSD 0.012100.02163 -0.00953
JUPUSD 0.001740.01069 -0.00895

Foreign exchange

CNYHKD was the most central name, carrying 8.09× the influence of an average node across 845 pairs.

pairs
845
Density
0.065
Clustering
0.387
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
CNYHKD 1 0.00957 8.09× 2.8% 0.2% EURGHS, GHSEUR
BRLJPY 2 0.00938 7.93× 16.6% 4.4% XAUJPY, COPBRL, BRLKRW, PENCAD, THBKRW
AUDBRL 3 0.00822 6.95× 39.2% 7.6% BRLKRW, USDRUB, XAUBRL, INRTHB, CHFHKD
JPYBRL 4 0.00707 5.97× 16.5% 5.0% XAUJPY, COPBRL, BRLKRW, PENCAD, NZDUSD
COPBRL 5 0.00672 5.68× 33.8% 17.5% NZDSEK, BRLKRW, DKKINR, EURUSD, HKDEUR
BRLKRW 6 0.00658 5.56× 18.2% 11.0% ARSMXN, XAGRUB, QARZAR, JPYARS, CADARS
EURPYG 7 0.00649 5.48× 1.5% 1.2% BRLEUR, EURLRD, EURDJF, EURGYD, EURBZD
CHFBRL 8 0.00624 5.27× 16.2% 9.4% BRLKRW, XAUJPY, COPBRL, PENCAD, USDRUB
BRLCHF 9 0.00621 5.25× 16.9% 9.5% XAUJPY, BRLKRW, PENCAD, COPBRL, USDRUB
XAUAUD 10 0.00566 4.79× 14.3% 26.8% KRWBRL, TWDIDR, ZARNGN, NOKSEK, ARSBRL

Rising influence vs 2025-09-08

SymbolPageRank PreviousChange
AUDBRL 0.008220.00223 +0.00599
EURPYG 0.006490.00090 +0.00559
BRLJPY 0.009380.00415 +0.00523
AEDCHF 0.004870.00030 +0.00458
CHFINR 0.004860.00030 +0.00456

Falling influence

SymbolPageRank PreviousChange
GBPXPF 0.000350.01321 -0.01286
SEKILS 0.002120.01236 -0.01024
TWDSEK 0.001510.00872 -0.00721
GBPMUR 0.000380.00608 -0.00570
MYRZAR 0.000420.00610 -0.00568

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.