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Daily network digest

Tuesday, December 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

XYL was the most central name, carrying 2.22× the influence of an average node across 1539 stocks.

stocks
1539
Density
0.273
Clustering
0.528
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
XYL 1 0.00145 2.22× 53.4% 16.4% EXC, FSK, FTV, BF.B, UNF
TD 2 0.00142 2.18× 34.9% 15.1% SEIC, ATR, CPB, SEB, ELV
VRSK 3 0.00139 2.14× 38.9% 31.1% NNN, EXC, SPGI, PBA, FRT
CSQ 4 0.00139 2.14× 33.2% 2.9% CTAS, ESNT, PPG, QLYS, APD
LNT 5 0.00133 2.04× 31.9% 32.0% FRT, FSV, FHI, VRSK, CHD
STN 6 0.00132 2.04× 36.5% 23.0% MSCI, RGA, LIN, V, XYL
CTAS 7 0.00132 2.04× 41.3% 23.3% TU, ESS, CARR, BNS, ACT
PBA 8 0.00132 2.03× 33.7% 24.6% ADC, LH, BRO, EGP, SR
DTE 9 0.00132 2.03× 34.1% 34.9% EPD, DOX, CDP, R, BRK.B
GBDC 10 0.00131 2.02× 35.0% 22.4% AEE, L, MPLX, SYK, SNX

Rising influence vs 2025-12-08

SymbolPageRank PreviousChange
BKR 0.001140.00010 +0.00103
ETN 0.001130.00010 +0.00103
ISRG 0.001100.00010 +0.00100
CWST 0.001080.00010 +0.00098
BLKB 0.001070.00010 +0.00097

Falling influence

SymbolPageRank PreviousChange
TBBK 0.000100.00114 -0.00104
ANF 0.000100.00112 -0.00103
S 0.000100.00110 -0.00101
STNE 0.000100.00110 -0.00101
NUVL 0.000100.00110 -0.00100

Cryptocurrency

SBRUSD was the most central name, carrying 5.42× the influence of an average node across 388 assets.

assets
388
Density
0.105
Clustering
0.344
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 0.01396 5.42× 51.9% 23.3% TONUSD, BTCGBP, COWUSD, INDEXUSD, ACSUSD
PAXGUSD 2 0.01311 5.09× 54.3% 29.5% XRPAUD, A8USD, AVTUSD, EULUSD, HFTUSD
AIRUSD 3 0.01170 4.54× 48.1% 16.5% TIMEUSD, AXLUSD, MEMEUSD, ZROUSD, TOKEUSD
KMNOUSD 4 0.01106 4.29× 47.3% 11.1% KAVAUSD, ABTUSD, MKRUSD, ZEUSUSD, LRDSUSD
KAVAUSD 5 0.01000 3.88× 35.7% 10.6% TOKEUSD, MULTIUSD, BTRSTUSD, BCHEUR, MOONUSD
XAUTUSD 6 0.00975 3.78× 45.5% 37.7% SCUSD, AVTUSD, HFTUSD, HNTUSD, MOVRUSD
INVUSD 7 0.00968 3.76× 35.9% 25.8% YFIUSD, TBTCUSD, BTTUSD, OXTUSD, MNGOUSD
PNKUSD 8 0.00924 3.58× 35.7% 16.5% ATLASUSD, ANKRUSD, CORECHAINUSD, DNTUSD, FARMUSD
TEERUSD 9 0.00912 3.54× 37.2% 29.7% GSTUSD, POLSUSD, MXCUSD, XMRUSD, ACAUSD
KEYUSD 10 0.00906 3.51× 42.6% 6.7% BCHNUSD, AIRUSD, NANOUSD, REPV2USD, ZEUSUSD

Rising influence vs 2025-12-08

SymbolPageRank PreviousChange
KMNOUSD 0.011060.00223 +0.00883
PAXGUSD 0.013110.00488 +0.00822
SBRUSD 0.013960.00647 +0.00749
AIRUSD 0.011700.00454 +0.00716
KAVAUSD 0.010000.00397 +0.00603

Falling influence

SymbolPageRank PreviousChange
BSXUSD 0.001940.01264 -0.01070
PROUSD 0.003850.01226 -0.00841
ASMUSD 0.002770.01073 -0.00796
GARIUSD 0.007370.01505 -0.00769
REPUSD 0.003750.01139 -0.00764

Foreign exchange

AUDBRL was the most central name, carrying 13.29× the influence of an average node across 826 pairs.

pairs
826
Density
0.043
Clustering
0.361
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 0.01609 13.29× 36.7% 8.0% USDRUB, RUBMXN, MXNRUB, NZDIDR, THBUSD
CADBRL 2 0.01159 9.57× 19.5% 4.2% COPBRL, BRLAUD, RUBMXN, AUDBRL, MXNRUB
KRWBRL 3 0.01054 8.71× 19.3% 6.5% GBPCLP, CLPGBP, KRWSEK, RONZAR, EURSEK
BRLEUR 4 0.00908 7.50× 2.1% 1.1% EURKZT, EURBIF, EURQAR, EURHTG, EURGNF
COPBRL 5 0.00833 6.88× 27.2% 17.3% KRWSEK, INRSEK, TWDSEK, ILSSEK, NZDSEK
GBPCLP 6 0.00771 6.37× 26.9% 7.2% THBUSD, HKDTHB, HKDCHF, GBPHTG, CHFUSD
CLPGBP 7 0.00770 6.36× 26.9% 7.0% GBPHTG, THBHKD, PENMXN, HKDCHF, THBUSD
COPUSD 8 0.00769 6.35× 26.9% 7.3% CHFUSD, USDCHF, THBUSD, THBHKD, PENMXN
CHFTHB 9 0.00767 6.33× 26.9% 7.3% HKDCHF, CHFHKD, GBPHTG, HKDTHB, THBHKD
COPMXN 10 0.00762 6.29× 27.3% 7.5% PENMXN, USDCHF, CHFUSD, GBPHTG, HKDCHF

Rising influence vs 2025-12-08

SymbolPageRank PreviousChange
AUDBRL 0.016090.00062 +0.01547
CADBRL 0.011590.00321 +0.00838
CHFTHB 0.007670.00022 +0.00744
BRLEUR 0.009080.00279 +0.00630
PENCAD 0.007080.00103 +0.00605

Falling influence

SymbolPageRank PreviousChange
CNYHKD 0.007130.01841 -0.01128
HUFZAR 0.000440.01079 -0.01035
GBPXPF 0.000360.00962 -0.00926
SEKILS 0.001090.00901 -0.00792
KRWEUR 0.000790.00763 -0.00684

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.