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Daily network digest

Monday, December 22, 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

PPL was the most central name, carrying 2.92× the influence of an average node across 1494 stocks.

stocks
1494
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
PPL 1 0.00196 2.92× 25.1% 18.6% CPRT, MSFT, SEIC, SPG, CARR
STN 2 0.00184 2.75× 29.2% 14.8% COR, CLX, DIS, ED, MSA
FERG 3 0.00180 2.68× 31.8% 13.8% ROL, ARCC, CSX, ABT, GWW
EMR 4 0.00177 2.64× 32.8% 12.6% FHB, FERG, NTAP, CTAS, HII
CSQ 5 0.00170 2.54× 24.8% 2.9% CTAS, ESNT, ARW, APD, CFG
CTAS 6 0.00169 2.53× 29.1% 14.9% MA, DUK, CARR, ACT, ESS
CR 7 0.00169 2.52× 26.3% 14.1% MA, MAA, BNS, CL, AFL
OTTR 8 0.00164 2.45× 30.6% 18.2% KO, FTS, SYY, UNF, JKHY
XYL 9 0.00163 2.44× 39.6% 13.9% REG, UNF, FSK, FTV, HWC
WCN 10 0.00163 2.43× 26.3% 17.6% AB, CTRE, SEIC, AON, CPT

Rising influence vs 2025-12-19

SymbolPageRank PreviousChange
ETN 0.001420.00010 +0.00132
BKR 0.001390.00010 +0.00129
LLYVA 0.001350.00010 +0.00124
FHB 0.001310.00010 +0.00121
PCH 0.001300.00010 +0.00120

Falling influence

SymbolPageRank PreviousChange
NXST 0.000100.00153 -0.00143
CBT 0.000100.00124 -0.00114
UHS 0.000100.00122 -0.00112
WH 0.000100.00119 -0.00109
HALO 0.000100.00119 -0.00109

Cryptocurrency

KEEPUSD was the most central name, carrying 9.38× the influence of an average node across 379 assets.

assets
379
Density
0.128
Clustering
0.369
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
KEEPUSD 1 0.02475 9.38× 77.8% 14.0% CROUSD, ATLASUSD, CQTUSD, MNGOUSD, ARKMUSD
CQTUSD 2 0.01411 5.35× 52.9% 25.9% DOTUSD, GFIUSD, BTTUSD, BTCJPY, SCUSD
KAVAUSD 3 0.01215 4.60× 53.2% 14.6% ADXUSD, RARIUSD, RENUSD, SWFTCUSD, REQUSD
REQUSD 4 0.01097 4.16× 46.3% 21.4% KEEPUSD, DIMOUSD, SAFEUSD, RBCUSD, BITUSD
MXCUSD 5 0.01008 3.82× 54.0% 35.4% NEOUSD, HBARUSD, SRMUSD, ETHUSD, INDEXUSD
TRXUSD 6 0.00954 3.61× 44.4% 24.6% XRTUSD, EWTUSD, CQTUSD, BICOUSD, SRMUSD
XAUTUSD 7 0.00869 3.29× 47.9% 41.5% XDCUSD, SEIEUR, AERGOUSD, SDNUSD, PYRUSD
PNKUSD 8 0.00867 3.28× 43.4% 24.9% SOLUSD, GSTUSD, CLVUSD, MSOLUSD, NYMUSD
LITUSD 9 0.00842 3.19× 39.4% 16.1% PROUSD, SEAMUSD, MXCUSD, BTCJPY, MNTUSD
MIRUSD 10 0.00783 2.97× 36.0% 19.3% WHBTUSD, KEEPUSD, EOSUSD, BEAMUSD, CHRUSD

Rising influence vs 2025-12-21

SymbolPageRank PreviousChange
CQTUSD 0.014110.00501 +0.00910
DNTUSD 0.007760.00185 +0.00591
MIRUSD 0.007830.00242 +0.00541
MXCUSD 0.010080.00486 +0.00522
L3USD 0.005940.00121 +0.00472

Falling influence

SymbolPageRank PreviousChange
SBRUSD 0.005730.01334 -0.00760
FLRUSD 0.002070.00756 -0.00549
INVUSD 0.003910.00897 -0.00506
AIRUSD 0.005850.01084 -0.00499
KMNOUSD 0.004310.00928 -0.00496

Foreign exchange

CNYHKD was the most central name, carrying 16.15× the influence of an average node across 888 pairs.

pairs
888
Density
0.047
Clustering
0.366
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 0.01819 16.15× 1.6% 0.5% PENCOP, GHSUSD, CLPCOP, COPCLP
GBPXPF 2 0.01012 8.99× 4.6% 7.9% NZDTRY, KRWBRL, TWDNZD, TWDCHF, TWDMYR
SEKILS 3 0.00959 8.52× 7.3% 5.3% ILSNOK, KRWBRL, GBPBRL, RUBCAD, PENBRL
TWDSEK 4 0.00879 7.81× 5.6% 6.0% TZSZAR, GBPBRL, KRWBRL, ZARNGN, ZARRON
JPYBRL 5 0.00854 7.58× 12.2% 6.4% CADRUB, RUBCAD, USDRUB, BRLUSD, RUBUSD
BRLJPY 6 0.00803 7.13× 12.2% 6.8% CADRUB, RUBCAD, RUBUSD, BRLUSD, USDRUB
ARSPEN 7 0.00700 6.22× 11.6% 1.8% CDFGBP, CDFUSD, GBPCDF, EURCDF, GBPBIF
GBPMGA 8 0.00689 6.11× 10.9% 0.1% CNYHKD
USDUYU 9 0.00688 6.11× 10.9% 0.1% CNYHKD
PENMXN 10 0.00636 5.65× 21.5% 0.3% GBPXPF, TWDSEK, SEKILS

Rising influence vs 2025-12-19

SymbolPageRank PreviousChange
CNYHKD 0.018190.00751 +0.01067
GBPXPF 0.010120.00038 +0.00974
SEKILS 0.009590.00076 +0.00884
TWDSEK 0.008790.00086 +0.00793
MYRZAR 0.006310.00037 +0.00595

Falling influence

SymbolPageRank PreviousChange
AUDBRL 0.000940.01871 -0.01777
CADBRL 0.001960.01385 -0.01189
KRWBRL 0.004470.01336 -0.00889
CHFTHB 0.000230.00900 -0.00876
CLPGBP 0.002110.00926 -0.00716

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.