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Daily network digest

Friday, December 12, 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 2.85× the influence of an average node across 1494 stocks.

stocks
1494
Density
0.171
Clustering
0.419
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 0.00191 2.85× 29.7% 14.3% COR, LIN, CDP, DIS, GGG
FERG 2 0.00178 2.66× 31.2% 13.4% ROL, ARCC, CPK, GBDC, WES
CTAS 3 0.00176 2.63× 28.3% 13.4% MA, ESS, CARR, TU, DUK
FRT 4 0.00170 2.54× 30.6% 11.9% MTB, TDY, DLB, CL, BMO
TD 5 0.00170 2.54× 24.8% 9.1% SEIC, PAYX, CPB, DTM, AON
XYL 6 0.00163 2.44× 44.8% 13.1% NLY, FSK, CTVA, REG, WTM
CSQ 7 0.00161 2.41× 24.7% 3.5% CTAS, QLYS, PFE, ESNT, SBCF
SWX 8 0.00159 2.37× 32.0% 12.9% RGA, L, SEIC, SSNC, DGX
PBA 9 0.00158 2.37× 25.3% 13.1% SO, MSCI, FSK, ADP, GEN
HR 10 0.00158 2.36× 26.8% 19.3% NNN, ARCC, NWSA, RGA, CUBE

Rising influence vs 2025-12-11

SymbolPageRank PreviousChange
BKR 0.001450.00010 +0.00135
HASI 0.001430.00010 +0.00133
FHB 0.001380.00010 +0.00127
CWST 0.001340.00010 +0.00124
IQV 0.001330.00010 +0.00123

Falling influence

SymbolPageRank PreviousChange
NXST 0.000100.00145 -0.00135
CBT 0.000100.00131 -0.00121
UTHR 0.000100.00128 -0.00118
WH 0.000100.00126 -0.00116
UHS 0.000100.00126 -0.00116

Cryptocurrency

SBRUSD was the most central name, carrying 5.57× the influence of an average node across 387 assets.

assets
387
Density
0.108
Clustering
0.349
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
SBRUSD 1 0.01439 5.57× 52.1% 23.1% TONUSD, NODLUSD, BTCGBP, COWUSD, INDEXUSD
PAXGUSD 2 0.01277 4.94× 55.2% 31.3% XRPAUD, AVTUSD, UNIUSD, ALEOUSD, KAVAUSD
KMNOUSD 3 0.01147 4.44× 47.7% 14.2% KAVAUSD, LRDSUSD, ABTUSD, MVUSD, SAGAUSD
AIRUSD 4 0.01128 4.37× 48.4% 15.5% CSPRUSD, AXLUSD, TIMEUSD, ZROUSD, MEMEUSD
NODLUSD 5 0.01128 4.37× 45.3% 38.1% MIRUSD, DSHUSD, XYOUSD, POLUSD, EGLDUSD
KAVAUSD 6 0.01007 3.90× 37.3% 12.7% TOKEUSD, MULTIUSD, BCHEUR, BTRSTUSD, RARIUSD
INVUSD 7 0.00986 3.82× 36.8% 24.4% OXTUSD, BTTUSD, YFIUSD, MNGOUSD, PAXGUSD
XAUTUSD 8 0.00950 3.68× 45.3% 37.8% HFTUSD, AVTUSD, ORCAUSD, HNTUSD, LPTUSD
KEYUSD 9 0.00921 3.56× 43.0% 7.8% BCHNUSD, REPV2USD, AIRUSD, ZEUSUSD, NANOUSD
PNKUSD 10 0.00892 3.45× 35.0% 22.0% SWFTCUSD, LMWRUSD, FARMUSD, KP3RUSD, CORECHAINUSD

Rising influence vs 2025-12-11

SymbolPageRank PreviousChange
KMNOUSD 0.011470.00280 +0.00868
SBRUSD 0.014390.00671 +0.00768
PAXGUSD 0.012770.00560 +0.00717
AIRUSD 0.011280.00492 +0.00636
KAVAUSD 0.010070.00485 +0.00523

Falling influence

SymbolPageRank PreviousChange
BSXUSD 0.001980.01285 -0.01087
GARIUSD 0.007300.01587 -0.00858
PROUSD 0.004590.01270 -0.00811
BRICKUSD 0.005160.01279 -0.00763
LCXUSD 0.005360.01241 -0.00704

Foreign exchange

AUDBRL was the most central name, carrying 13.86× the influence of an average node across 828 pairs.

pairs
828
Density
0.042
Clustering
0.357
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
AUDBRL 1 0.01674 13.86× 35.3% 8.6% USDRUB, RUBMXN, MXNRUB, KRWRUB, GBPHTG
CADBRL 2 0.01220 10.11× 18.5% 5.1% RUBKRW, MXNRUB, KRWRUB, RUBMXN, RUBCHF
KRWBRL 3 0.01136 9.41× 18.6% 6.4% CLPGBP, KRWSEK, ILSSEK, COPBRL, GBPCLP
BRLEUR 4 0.00933 7.72× 2.1% 1.1% EURKZT, EURGNF, EURBIF, EURHTG, EURBSD
COPBRL 5 0.00842 6.97× 27.4% 17.2% KRWSEK, ILSSEK, INRSEK, TWDSEK, NZDSEK
CLPGBP 6 0.00769 6.37× 26.8% 7.1% PENMXN, THBHKD, USDCHF, THBUSD, HKDTHB
GBPCLP 7 0.00767 6.35× 26.8% 7.1% THBUSD, CHFUSD, CHFHKD, HKDTHB, HKDCHF
COPMXN 8 0.00758 6.28× 27.1% 7.3% HKDTHB, HKDCHF, CHFUSD, THBHKD, CHFHKD
CHFTHB 9 0.00755 6.25× 26.8% 7.3% CHFUSD, HKDTHB, PENMXN, THBUSD, USDCHF
COPUSD 10 0.00755 6.25× 26.8% 7.3% THBHKD, CHFUSD, CHFHKD, USDCHF, HKDTHB

Rising influence vs 2025-12-11

SymbolPageRank PreviousChange
AUDBRL 0.016740.00070 +0.01603
CADBRL 0.012200.00151 +0.01069
CHFTHB 0.007550.00022 +0.00733
KRWBRL 0.011360.00421 +0.00715
BRLEUR 0.009330.00275 +0.00658

Falling influence

SymbolPageRank PreviousChange
CNYHKD 0.007400.01812 -0.01072
HUFZAR 0.000370.01074 -0.01036
GBPXPF 0.000380.01028 -0.00989
SEKILS 0.001090.00890 -0.00781
KRWEUR 0.000790.00774 -0.00696

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.