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Daily network digest

Wednesday, December 31, 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

STN was the most central name, carrying 2.91× the influence of an average node across 1495 stocks.

stocks
1495
Density
0.175
Clustering
0.422
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
STN 1 0.00195 2.91× 29.1% 14.0% COR, MTB, DUK, PECO, RGA
PPL 2 0.00186 2.79× 25.0% 18.6% SPG, CPRT, CARR, MLM, WRB
FERG 3 0.00182 2.72× 32.8% 14.2% ROL, ARCC, GWW, ADP, GIB
MS 4 0.00176 2.64× 28.8% 9.7% EPRT, SPG, MSCI, HIG, AER
CSQ 5 0.00174 2.61× 25.8% 3.5% CTAS, ESNT, OZK, EWBC, APD
CR 6 0.00172 2.58× 26.5% 14.3% MA, AFL, SWX, CL, BNS
EMR 7 0.00172 2.57× 31.7% 13.4% FERG, FHB, CTAS, ORLY, NTRS
OTTR 8 0.00167 2.50× 30.7% 18.1% KO, CLH, SYY, FTS, WRB
FRT 9 0.00167 2.50× 31.7% 13.7% BMO, MTB, EMR, TYL, CL
SPGI 10 0.00166 2.48× 26.6% 18.1% LIN, MSFT, PTC, FTS, LHX

Rising influence vs 2025-12-30

SymbolPageRank PreviousChange
ETN 0.001450.00010 +0.00135
BKR 0.001430.00010 +0.00133
LLYVA 0.001360.00010 +0.00125
CWST 0.001310.00010 +0.00121
SLGN 0.001310.00010 +0.00121

Falling influence

SymbolPageRank PreviousChange
NXST 0.000100.00149 -0.00139
ERIE 0.000100.00136 -0.00126
UHS 0.000100.00128 -0.00118
WH 0.000100.00125 -0.00115
MTZ 0.000100.00124 -0.00114

Cryptocurrency

CQTUSD was the most central name, carrying 5.74× the influence of an average node across 379 assets.

assets
379
Density
0.121
Clustering
0.350
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
CQTUSD 1 0.01513 5.74× 55.3% 24.1% BTCJPY, GFIUSD, DOTUSD, BTTUSD, XRPUSD
KAVAUSD 2 0.01400 5.31× 53.4% 14.0% ADXUSD, PROUSD, RENUSD, REQUSD, PLUUSD
MVUSD 3 0.01270 4.81× 49.7% 41.0% GNOUSD, AIRUSD, SAFEUSD, 00USD, GUSD
REQUSD 4 0.00995 3.77× 40.2% 24.9% RBCUSD, DIMOUSD, SAFEUSD, QIUSD, BITUSD
LITUSD 5 0.00951 3.60× 40.7% 17.5% SEAMUSD, MNTUSD, TUSD, BTCJPY, MXCUSD
TRXUSD 6 0.00904 3.43× 39.9% 23.8% XRTUSD, EWTUSD, CQTUSD, TRACUSD, SRMUSD
MIRUSD 7 0.00853 3.23× 35.4% 16.4% WHBTUSD, EOSUSD, DIMOUSD, RBCUSD, ASTRUSD
MXCUSD 8 0.00844 3.20× 43.4% 23.8% HBARUSD, NEOUSD, LMWRUSD, SRMUSD, ETHUSD
REPUSD 9 0.00808 3.06× 36.8% 11.4% APTUSD, COWUSD, SGBUSD, BTRSTUSD, MULTIUSD
AIRUSD 10 0.00802 3.04× 38.4% 14.8% DIMOUSD, XMRUSD, BCHGBP, ETHAUD, 00USD

Rising influence vs 2025-12-30

SymbolPageRank PreviousChange
CQTUSD 0.015130.00415 +0.01099
MVUSD 0.012700.00472 +0.00798
DNTUSD 0.007960.00175 +0.00621
MXCUSD 0.008440.00273 +0.00571
MIRUSD 0.008530.00289 +0.00564

Falling influence

SymbolPageRank PreviousChange
SBRUSD 0.004530.01316 -0.00863
SGBUSD 0.004140.01102 -0.00688
INVUSD 0.002710.00946 -0.00675
KMNOUSD 0.004660.01092 -0.00627
PAXGUSD 0.008000.01391 -0.00591

Foreign exchange

GBPXPF was the most central name, carrying 7.53× the influence of an average node across 869 pairs.

pairs
869
Density
0.062
Clustering
0.372
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
GBPXPF 1 0.00866 7.53× 5.2% 5.8% TWDKRW, GBPKRW, KRWGBP, JPYKRW, SGDTWD
EURCRC 2 0.00804 6.99× 1.5% 0.3% EURUYU, EURTTD, EURNGN
CNYSGD 3 0.00797 6.92× 15.6% 2.0% GBPCAD, GBPXPF, PKRZAR, BRLCAD, DKKPKR
USDRUB 4 0.00761 6.62× 11.2% 3.2% JPYRUB, BRLARS, RUBJPY, PENCAD, GBPRUB
CHFPKR 5 0.00702 6.10× 17.1% 16.0% NZDIDR, AUDIDR, NOKILS, ZARIDR, NOKINR
EURRWF 6 0.00701 6.09× 0.5% 1.3% EURSVC, EURUZS, EURPAB, EURBMD, EURIQD
EURMUR 7 0.00700 6.08× 6.9% 0.0%
SGDARS 8 0.00699 6.08× 17.3% 1.4% USDRUB, GBPXPF, RUBKRW, BWPZAR, AUDTHB
GBPARS 9 0.00692 6.02× 19.1% 2.2% GBPXPF, USDRUB, BRLRUB, EURTWD, JPYCHF
ARSCAD 10 0.00683 5.94× 19.8% 1.7% GBPXPF, USDRUB, CHFJPY, JPYCAD, RUBJPY

Rising influence vs 2025-12-30

SymbolPageRank PreviousChange
GBPXPF 0.008660.00039 +0.00827
EURRWF 0.007010.00027 +0.00674
EURUZS 0.006010.00039 +0.00561
SGDARS 0.006990.00140 +0.00560
EURSVC 0.005820.00049 +0.00533

Falling influence

SymbolPageRank PreviousChange
AUDBRL 0.001370.01691 -0.01554
CADBRL 0.001260.01258 -0.01132
KRWBRL 0.000840.01192 -0.01108
USDSOS 0.001680.01060 -0.00891
GBPCLP 0.000220.00834 -0.00811

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.